twoxtwogame.sty

% Copyright 2024 DeepMind Technologies Limited
%
% Licensed under the Apache License, Version 2.0 (the "License");
% you may not use this file except in compliance with the License.
% You may obtain a copy of the License at
%
%    http://www.apache.org/licenses/LICENSE-2.0
%
% Unless required by applicable law or agreed to in writing, software
% distributed under the License is distributed on an "AS IS" BASIS,
% WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
% See the License for the specific language governing permissions and
% limitations under the License.
\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{twoxtwogame}[9999/01/01 vmaster Tools for 2x2 Games]

\RequirePackage{tikz}
\RequirePackage{tikz-3dplot}
\RequirePackage{pgfplots}
\pgfplotsset{compat=1.18}
\RequirePackage{tikzscale}
\RequirePackage{pgfmath-xfp}
\RequirePackage{ifthen}
\usetikzlibrary{arrows.meta,patterns,patterns.meta,shapes,calc,positioning,external,fillbetween}
\RequirePackage{amsthm, amsmath, amsfonts, amssymb, mathtools}
\RequirePackage{etoolbox}

\makeatletter

\newcommand{\@setdefaultgraphkey}{%
    \tikzset{
        graph/.is family,
        graph,
        point offset/.initial=-0.38em,
        point color/.initial=.,
        point radius/.initial=0.04em,
        row player x offset/.initial=-0.1em,
        row player y offset/.initial=-0.05em,
        column player x offset/.initial=0.1em,
        column player y offset/.initial=0.05em,
        player x offset/.initial=0em,
        player y offset/.initial=0em,
        row player color/.initial=.,
        column player color/.initial=.,
        player color/.initial=.,
        row player first strategy color/.initial=\empty,
        row player second strategy color/.initial=\empty,
        column player first strategy color/.initial=\empty,
        column player second strategy color/.initial=\empty,
        border color/.initial=.,
        color/.initial=.,
        arrow width/.initial=0.25em,
        arrow length/.initial=0.35em,
        line width/.initial=0.04em,
        row player first strategy label/.initial=A,
        row player second strategy label/.initial=B,
        column player first strategy label/.initial=A,
        column player second strategy label/.initial=B,
        label/.initial=,
    }%
}
\@setdefaultgraphkey
\newcommand{\@graphkey}[1]{\pgfkeysvalueof{/tikz/graph/#1}}

\DeclareRobustCommand{\ordgraph}[9][]{%
    \@setdefaultgraphkey%
    \tikzset{%
        graph,%
        point offset=0.38em,%
        point color=.,%
        point radius=0.04em,%
        row player x offset=-0.1em,%
        row player y offset=-0.05em,%
        column player x offset=0.1em,%
        column player y offset=0.05em,%
        row player color=.,%
        column player color=gray,%
        arrow width=0.25em,%
        arrow length=0.35em,%
        line width=0.04em,%
        #1}%
    \raisebox{-0.2em}{%
    \begin{tikzpicture}%
        \path (-\@graphkey{point offset}-\@graphkey{arrow width}-\@graphkey{row player x offset},-\@graphkey{point offset}-\@graphkey{arrow width}-\@graphkey{row player y offset}) -- (\@graphkey{point offset}+\@graphkey{arrow width}+\@graphkey{row player x offset},\@graphkey{point offset}+\@graphkey{arrow width}+\@graphkey{row player y offset});
        % Column player.
        \tikzset{graph,player color=\@graphkey{column player color},player x offset=\@graphkey{column player x offset},player y offset=\@graphkey{column player y offset}}%
        \@playerordgraph[#1]{#6}{#7}{#8}{#9}
        % Row player.
        \tikzset{graph,player color=\@graphkey{row player color},player x offset=\@graphkey{row player x offset},player y offset=\@graphkey{row player y offset}}%
        \@playerordgraph[#1]{#2}{#3}{#4}{#5}
        
        \ifthenelse{\lengthtest{#2 pt = #3 pt} \AND \lengthtest{#3 pt = #4 pt} \AND \lengthtest{#4 pt = #5 pt} \AND \lengthtest{#6 pt = #7 pt} \AND \lengthtest{#7 pt = #8 pt} \AND \lengthtest{#8 pt = #9 pt}}{
            \fill[\@graphkey{point color}] (-\@graphkey{point offset},-\@graphkey{point offset}) circle[radius=\@graphkey{point radius}];
            \fill[\@graphkey{point color}] (-\@graphkey{point offset},+\@graphkey{point offset}) circle[radius=\@graphkey{point radius}];
            \fill[\@graphkey{point color}] (+\@graphkey{point offset},-\@graphkey{point offset}) circle[radius=\@graphkey{point radius}];
            \fill[\@graphkey{point color}] (+\@graphkey{point offset},+\@graphkey{point offset}) circle[radius=\@graphkey{point radius}];
        }{}
    \end{tikzpicture}%
    }%
}

\newcommand{\@pone}[2]{(-\@graphkey{point offset}+#1, \@graphkey{point offset}+#2)}
\newcommand{\@ptwo}[2]{(\@graphkey{point offset}+#1, \@graphkey{point offset}+#2)}
\newcommand{\@pthree}[2]{(-\@graphkey{point offset}+#1, -\@graphkey{point offset}+#2)}
\newcommand{\@pfour}[2]{(\@graphkey{point offset}+#1, -\@graphkey{point offset}+#2)}

\DeclareRobustCommand{\@playerordgraph}[5][]{%
    % Ordinal rankings.
    \ifthenelse{\lengthtest{#2 pt < #3 pt} \AND \lengthtest{#3 pt < #4 pt} \AND \lengthtest{#4 pt < #5 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#2 pt < #3 pt} \AND \lengthtest{#3 pt < #5 pt} \AND \lengthtest{#5 pt < #4 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#2 pt < #4 pt} \AND \lengthtest{#4 pt < #3 pt} \AND \lengthtest{#3 pt < #5 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#2 pt < #4 pt} \AND \lengthtest{#4 pt < #5 pt} \AND \lengthtest{#5 pt < #3 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#2 pt < #5 pt} \AND \lengthtest{#5 pt < #3 pt} \AND \lengthtest{#3 pt < #4 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#2 pt < #5 pt} \AND \lengthtest{#5 pt < #4 pt} \AND \lengthtest{#4 pt < #3 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#3 pt < #2 pt} \AND \lengthtest{#2 pt < #4 pt} \AND \lengthtest{#4 pt < #5 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#3 pt < #2 pt} \AND \lengthtest{#2 pt < #5 pt} \AND \lengthtest{#5 pt < #4 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#3 pt < #4 pt} \AND \lengthtest{#4 pt < #2 pt} \AND \lengthtest{#2 pt < #5 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#3 pt < #4 pt} \AND \lengthtest{#4 pt < #5 pt} \AND \lengthtest{#5 pt < #2 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#3 pt < #5 pt} \AND \lengthtest{#5 pt < #2 pt} \AND \lengthtest{#2 pt < #4 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#3 pt < #5 pt} \AND \lengthtest{#5 pt < #4 pt} \AND \lengthtest{#4 pt < #2 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#4 pt < #2 pt} \AND \lengthtest{#2 pt < #3 pt} \AND \lengthtest{#3 pt < #5 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#4 pt < #2 pt} \AND \lengthtest{#2 pt < #5 pt} \AND \lengthtest{#5 pt < #3 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#4 pt < #3 pt} \AND \lengthtest{#3 pt < #2 pt} \AND \lengthtest{#2 pt < #5 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#4 pt < #3 pt} \AND \lengthtest{#3 pt < #5 pt} \AND \lengthtest{#5 pt < #2 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#4 pt < #5 pt} \AND \lengthtest{#5 pt < #2 pt} \AND \lengthtest{#2 pt < #3 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#4 pt < #5 pt} \AND \lengthtest{#5 pt < #3 pt} \AND \lengthtest{#3 pt < #2 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#5 pt < #2 pt} \AND \lengthtest{#2 pt < #3 pt} \AND \lengthtest{#3 pt < #4 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#5 pt < #2 pt} \AND \lengthtest{#2 pt < #4 pt} \AND \lengthtest{#4 pt < #3 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#5 pt < #3 pt} \AND \lengthtest{#3 pt < #2 pt} \AND \lengthtest{#2 pt < #4 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#5 pt < #3 pt} \AND \lengthtest{#3 pt < #4 pt} \AND \lengthtest{#4 pt < #2 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#5 pt < #4 pt} \AND \lengthtest{#4 pt < #2 pt} \AND \lengthtest{#2 pt < #3 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#5 pt < #4 pt} \AND \lengthtest{#4 pt < #3 pt} \AND \lengthtest{#3 pt < #2 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}

    % Triple Ties.
    \ifthenelse{\lengthtest{#2 pt = #3 pt} \AND \lengthtest{#2 pt = #4 pt} \AND \lengthtest{#2 pt < #5 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#2 pt = #3 pt} \AND \lengthtest{#2 pt = #5 pt} \AND \lengthtest{#2 pt < #4 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#2 pt = #4 pt} \AND \lengthtest{#2 pt = #5 pt} \AND \lengthtest{#2 pt < #3 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#3 pt = #4 pt} \AND \lengthtest{#3 pt = #5 pt} \AND \lengthtest{#3 pt < #2 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}

    % Low Ties.
    \ifthenelse{\lengthtest{#2 pt = #3 pt} \AND \lengthtest{#2 pt = #4 pt} \AND \lengthtest{#2 pt > #5 pt}}{
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#2 pt = #3 pt} \AND \lengthtest{#2 pt = #5 pt} \AND \lengthtest{#2 pt > #4 pt}}{
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#2 pt = #4 pt} \AND \lengthtest{#2 pt = #5 pt} \AND \lengthtest{#2 pt > #3 pt}}{
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#3 pt = #4 pt} \AND \lengthtest{#3 pt = #5 pt} \AND \lengthtest{#3 pt > #2 pt}}{
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}

    % Double Ties.
    \ifthenelse{\lengthtest{#2 pt = #3 pt} \AND \lengthtest{#4 pt = #5 pt} \AND \lengthtest{#4 pt > #2 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#2 pt = #4 pt} \AND \lengthtest{#3 pt = #5 pt} \AND \lengthtest{#3 pt > #2 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#2 pt = #5 pt} \AND \lengthtest{#3 pt = #4 pt} \AND \lengthtest{#3 pt > #2 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#2 pt = #3 pt} \AND \lengthtest{#4 pt = #5 pt} \AND \lengthtest{#4 pt < #2 pt}}{
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#2 pt = #4 pt} \AND \lengthtest{#3 pt = #5 pt} \AND \lengthtest{#3 pt < #2 pt}}{
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#2 pt = #5 pt} \AND \lengthtest{#3 pt = #4 pt} \AND \lengthtest{#3 pt < #2 pt}}{
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    
    % High Ties
    \ifthenelse{\lengthtest{#2 pt = #3 pt} \AND \lengthtest{#3 pt > #4 pt} \AND \lengthtest{#4 pt > #5 pt}}{
        \draw[line width=\@graphkey{line width}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#2 pt = #3 pt} \AND \lengthtest{#3 pt > #5 pt} \AND \lengthtest{#5 pt > #4 pt}}{
        \draw[line width=\@graphkey{line width}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}

    \ifthenelse{\lengthtest{#2 pt = #4 pt} \AND \lengthtest{#4 pt > #3 pt} \AND \lengthtest{#3 pt > #5 pt}}{
        \draw[line width=\@graphkey{line width}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#2 pt = #4 pt} \AND \lengthtest{#4 pt > #5 pt} \AND \lengthtest{#5 pt > #3 pt}}{
        \draw[line width=\@graphkey{line width}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}

    \ifthenelse{\lengthtest{#2 pt = #5 pt} \AND \lengthtest{#5 pt > #3 pt} \AND \lengthtest{#3 pt > #4 pt}}{
        \draw[line width=\@graphkey{line width}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#2 pt = #5 pt} \AND \lengthtest{#5 pt > #4 pt} \AND \lengthtest{#4 pt > #3 pt}}{
        \draw[line width=\@graphkey{line width}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}

    \ifthenelse{\lengthtest{#3 pt = #4 pt} \AND \lengthtest{#4 pt > #2 pt} \AND \lengthtest{#2 pt > #5 pt}}{
        \draw[line width=\@graphkey{line width}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#3 pt = #4 pt} \AND \lengthtest{#4 pt > #5 pt} \AND \lengthtest{#5 pt > #2 pt}}{
        \draw[line width=\@graphkey{line width}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}

    \ifthenelse{\lengthtest{#3 pt = #5 pt} \AND \lengthtest{#5 pt > #2 pt} \AND \lengthtest{#2 pt > #4 pt}}{
        \draw[line width=\@graphkey{line width}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#3 pt = #5 pt} \AND \lengthtest{#5 pt > #4 pt} \AND \lengthtest{#4 pt > #2 pt}}{
        \draw[line width=\@graphkey{line width}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}

    \ifthenelse{\lengthtest{#4 pt = #5 pt} \AND \lengthtest{#5 pt > #2 pt} \AND \lengthtest{#2 pt > #3 pt}}{
        \draw[line width=\@graphkey{line width}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#4 pt = #5 pt} \AND \lengthtest{#5 pt > #3 pt} \AND \lengthtest{#3 pt > #2 pt}}{
        \draw[line width=\@graphkey{line width}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    
    % Low Ties
    \ifthenelse{\lengthtest{#2 pt = #3 pt} \AND \lengthtest{#3 pt < #4 pt} \AND \lengthtest{#4 pt < #5 pt}}{
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        
        \draw[line width=\@graphkey{line width}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[line width=\@graphkey{line width}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#2 pt = #3 pt} \AND \lengthtest{#3 pt < #5 pt} \AND \lengthtest{#5 pt < #4 pt}}{
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        
        \draw[line width=\@graphkey{line width}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[line width=\@graphkey{line width}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}

    \ifthenelse{\lengthtest{#2 pt = #4 pt} \AND \lengthtest{#4 pt < #3 pt} \AND \lengthtest{#3 pt < #5 pt}}{
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        
        \draw[line width=\@graphkey{line width}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[line width=\@graphkey{line width}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#2 pt = #4 pt} \AND \lengthtest{#4 pt < #5 pt} \AND \lengthtest{#5 pt < #3 pt}}{
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        
        \draw[line width=\@graphkey{line width}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[line width=\@graphkey{line width}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}

    \ifthenelse{\lengthtest{#2 pt = #5 pt} \AND \lengthtest{#5 pt < #3 pt} \AND \lengthtest{#3 pt < #4 pt}}{
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        
        \draw[line width=\@graphkey{line width}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[line width=\@graphkey{line width}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#2 pt = #5 pt} \AND \lengthtest{#5 pt < #4 pt} \AND \lengthtest{#4 pt < #3 pt}}{
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        
        \draw[line width=\@graphkey{line width}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[line width=\@graphkey{line width}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}

    \ifthenelse{\lengthtest{#3 pt = #4 pt} \AND \lengthtest{#4 pt < #2 pt} \AND \lengthtest{#2 pt < #5 pt}}{
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        
        \draw[line width=\@graphkey{line width}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[line width=\@graphkey{line width}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#3 pt = #4 pt} \AND \lengthtest{#4 pt < #5 pt} \AND \lengthtest{#5 pt < #2 pt}}{
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        
        \draw[line width=\@graphkey{line width}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[line width=\@graphkey{line width}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}

    \ifthenelse{\lengthtest{#3 pt = #5 pt} \AND \lengthtest{#5 pt < #2 pt} \AND \lengthtest{#2 pt < #4 pt}}{
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        
        \draw[line width=\@graphkey{line width}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[line width=\@graphkey{line width}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#3 pt = #5 pt} \AND \lengthtest{#5 pt < #4 pt} \AND \lengthtest{#4 pt < #2 pt}}{
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        
        \draw[line width=\@graphkey{line width}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[line width=\@graphkey{line width}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}

    \ifthenelse{\lengthtest{#4 pt = #5 pt} \AND \lengthtest{#5 pt < #2 pt} \AND \lengthtest{#2 pt < #3 pt}}{
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        
        \draw[line width=\@graphkey{line width}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[line width=\@graphkey{line width}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#4 pt = #5 pt} \AND \lengthtest{#5 pt < #3 pt} \AND \lengthtest{#3 pt < #2 pt}}{
        \draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        
        \draw[line width=\@graphkey{line width}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[line width=\@graphkey{line width}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    
    % Mid Ties:
    \ifthenelse{\lengthtest{#5 pt < #2 pt} \AND \lengthtest{#2 pt = #3 pt} \AND \lengthtest{#3 pt < #4 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#4 pt < #2 pt} \AND \lengthtest{#2 pt = #3 pt} \AND \lengthtest{#3 pt < #5 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    
    \ifthenelse{\lengthtest{#5 pt < #2 pt} \AND \lengthtest{#2 pt = #4 pt} \AND \lengthtest{#4 pt < #3 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#3 pt < #2 pt} \AND \lengthtest{#2 pt = #4 pt} \AND \lengthtest{#4 pt < #5 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    
    \ifthenelse{\lengthtest{#4 pt < #2 pt} \AND \lengthtest{#2 pt = #5 pt} \AND \lengthtest{#5 pt < #3 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#3 pt < #2 pt} \AND \lengthtest{#2 pt = #5 pt} \AND \lengthtest{#5 pt < #4 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    
    \ifthenelse{\lengthtest{#5 pt < #3 pt} \AND \lengthtest{#3 pt = #4 pt} \AND \lengthtest{#4 pt < #2 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#2 pt < #3 pt} \AND \lengthtest{#3 pt = #4 pt} \AND \lengthtest{#4 pt < #5 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    
    \ifthenelse{\lengthtest{#4 pt < #3 pt} \AND \lengthtest{#3 pt = #5 pt} \AND \lengthtest{#5 pt < #2 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#2 pt < #3 pt} \AND \lengthtest{#3 pt = #5 pt} \AND \lengthtest{#5 pt < #4 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    
    \ifthenelse{\lengthtest{#3 pt < #4 pt} \AND \lengthtest{#4 pt = #5 pt} \AND \lengthtest{#5 pt < #2 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
    \ifthenelse{\lengthtest{#2 pt < #4 pt} \AND \lengthtest{#4 pt = #5 pt} \AND \lengthtest{#5 pt < #3 pt}}{
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
        \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
    }{}
}


% Switch to tikzset
\DeclareRobustCommand{\brgraph}[9][]{%
\@setdefaultgraphkey%
\tikzset{%
    graph,%
    point offset=0.38em,%
    point color=.,%
    point radius=0.06em,%
    row player color=.,%
    column player color=.,%
    arrow width=0.25em,%
    arrow length=0.35em,%
    line width=0.05em,%
    #1}%
\raisebox{-0.34em}{%
\begin{tikzpicture}
    \path (-\@graphkey{point offset}-\@graphkey{arrow width},-\@graphkey{point offset}-\@graphkey{arrow width}) -- (\@graphkey{point offset}+\@graphkey{arrow width},\@graphkey{point offset}+\@graphkey{arrow width});

    % Player 1.
    % Player 2's Action 1.
    \ifthenelse{\lengthtest{#2 pt > #4 pt}}{
        \draw[
            -{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]},
            line width=\@graphkey{line width},
            \@graphkey{row player color},
        ] (-\@graphkey{point offset},-\@graphkey{point offset}) -- (-\@graphkey{point offset},+\@graphkey{point offset});
    }{}
    \ifthenelse{\lengthtest{#2 pt < #4 pt}}{
        \draw[
            {Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-,
            line width=\@graphkey{line width},
            \@graphkey{row player color},
        ] (-\@graphkey{point offset},-\@graphkey{point offset}) -- (-\@graphkey{point offset},+\@graphkey{point offset});
    }{}
    % Player 2's Action 2.
    \ifthenelse{\lengthtest{#3 pt > #5 pt}}{
        \draw[
            -{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]},
            line width=\@graphkey{line width},
            \@graphkey{row player color},
        ] (+\@graphkey{point offset},-\@graphkey{point offset}) -- (+\@graphkey{point offset},+\@graphkey{point offset});
    }{}
    \ifthenelse{\lengthtest{#3 pt < #5 pt}}{
        \draw[
            {Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-,
            line width=\@graphkey{line width},
            \@graphkey{row player color},
        ] (+\@graphkey{point offset},-\@graphkey{point offset}) -- (+\@graphkey{point offset},+\@graphkey{point offset});
    }{}

    % Player 2.
    % Player 1's Action 1.
    \ifthenelse{\lengthtest{#6 pt > #7 pt}}{
        \draw[
            {Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-,
            line width=\@graphkey{line width},
            \@graphkey{column player color},
        ] (-\@graphkey{point offset},+\@graphkey{point offset}) -- (+\@graphkey{point offset},+\@graphkey{point offset});
    }{}
    \ifthenelse{\lengthtest{#6 pt < #7 pt}}{
        \draw[
            -{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]},
            line width=\@graphkey{line width},
            \@graphkey{column player color},
        ] (-\@graphkey{point offset},+\@graphkey{point offset}) -- (+\@graphkey{point offset},+\@graphkey{point offset});
    }{}
    % Player 1's Action 2.
    \ifthenelse{\lengthtest{#8 pt > #9 pt}}{
        \draw[
            {Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-,
            line width=\@graphkey{line width},
            \@graphkey{column player color},
        ] (-\@graphkey{point offset},-\@graphkey{point offset}) -- (+\@graphkey{point offset},-\@graphkey{point offset});
    }{}
    \ifthenelse{\lengthtest{#8 pt < #9 pt}}{
        \draw[
            -{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]},
            line width=\@graphkey{line width},
            \@graphkey{column player color},
        ] (-\@graphkey{point offset},-\@graphkey{point offset}) -- (+\@graphkey{point offset},-\@graphkey{point offset});
    }{}
    
    \fill[\@graphkey{point color}] (-\@graphkey{point offset},-\@graphkey{point offset}) circle[radius=\@graphkey{point radius}];
    \fill[\@graphkey{point color}] (-\@graphkey{point offset},+\@graphkey{point offset}) circle[radius=\@graphkey{point radius}];
    \fill[\@graphkey{point color}] (+\@graphkey{point offset},-\@graphkey{point offset}) circle[radius=\@graphkey{point radius}];
    \fill[\@graphkey{point color}] (+\@graphkey{point offset},+\@graphkey{point offset}) circle[radius=\@graphkey{point radius}];
\end{tikzpicture}%
}%
}

\DeclareRobustCommand{\dominantbrgraph}[1][]{%
    \brgraph[#1]{1}{1}{0}{0}{1}{0}{1}{0}}
\DeclareRobustCommand{\coordinationbrgraph}[1][]{%
    \brgraph[#1]{1}{0}{0}{1}{1}{0}{0}{1}}
\DeclareRobustCommand{\cyclebrgraph}[1][]{%
    \brgraph[#1]{1}{0}{0}{1}{0}{1}{1}{0}}
\DeclareRobustCommand{\samaritanbrgraph}[1][]{%
    \brgraph[#1]{1}{0}{0}{1}{1}{0}{1}{0}}
\DeclareRobustCommand{\hazardbrgraph}[1][]{%
    \brgraph[#1]{1}{0}{0}{1}{0}{0}{1}{0}}
\DeclareRobustCommand{\safetybrgraph}[1][]{%
    \brgraph[#1]{1}{0}{0}{1}{1}{0}{0}{0}}
\DeclareRobustCommand{\aidosbrgraph}[1][]{%
    \brgraph[#1]{1}{1}{0}{0}{0}{0}{1}{0}}
\DeclareRobustCommand{\picnicbrgraph}[1][]{%
    \brgraph[#1]{1}{0}{0}{0}{1}{0}{1}{0}}
\DeclareRobustCommand{\daredevilbrgraph}[1][]{%
    \brgraph[#1]{0}{1}{0}{0}{0}{0}{1}{0}}
\DeclareRobustCommand{\fossickbrgraph}[1][]{%
    \brgraph[#1]{1}{0}{0}{0}{1}{0}{0}{0}}
\DeclareRobustCommand{\heistbrgraph}[1][]{%
    \brgraph[#1]{1}{0}{0}{0}{0}{0}{1}{0}}
\DeclareRobustCommand{\ignorancebrgraph}[1][]{%
    \brgraph[#1]{1}{1}{0}{0}{0}{0}{0}{0}}
\DeclareRobustCommand{\horseplaybrgraph}[1][]{%
    \brgraph[#1]{1}{0}{0}{1}{0}{0}{0}{0}}
\DeclareRobustCommand{\dressbrgraph}[1][]{%
    \brgraph[#1]{1}{0}{0}{0}{0}{0}{0}{0}}
\DeclareRobustCommand{\nullbrgraph}[1][]{%
    \brgraph[#1]{0}{0}{0}{0}{0}{0}{0}{0}}
    
    
\DeclareRobustCommand{\brname}[8]{%
    \ifthenelse{\lengthtest{#1 pt = #3 pt}}{% BEGIN( xxx)
        \ifthenelse{\lengthtest{#2 pt = #4 pt}}{% BEGIN(  xx)
            \ifthenelse{\lengthtest{#5 pt = #6 pt}}{% BEGIN(   x)
                \ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(    )
                    %Equal,Equal,Equal,Equal
                    Null
                }{% END(    )
                \ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(   ←)
                    %Equal,Equal,Equal,Left
                    Dress
                }% END(   ←)
                {% BEGIN(   →)
                    %Equal,Equal,Equal,Right
                    Dress
                }}% END(   →)
            }{% END(   x)
            \ifthenelse{\lengthtest{#5 pt > #6 pt}}{% BEGIN(  ←x)
                \ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(  ← )
                    %Equal,Equal,Left,Equal
                    Dress
                }{% END(  ← )
                \ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(  ←←)
                    %Equal,Equal,Left,Left
                    Ignorance
                }% END(  ←←)
                {% BEGIN(  ←→)
                    %Equal,Equal,Left,Right
                    Horseplay
                }}% END(  ←→)
            }% END(  ←x)
            {% BEGIN(  →x)
                \ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(  → )
                    %Equal,Equal,Right,Equal
                    Dress
                }{% END(  ← )
                \ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(  →←)
                    %Equal,Equal,Right,Left
                    Horseplay
                }% END(  →←)
                {% BEGIN(  →→)
                    %Equal,Equal,Right,Right
                    Ignorance
                }}% END(  →→)
            }}% END(  →x)
        }{% END(  xx)
        \ifthenelse{\lengthtest{#2 pt > #4 pt}}{% BEGIN( ↑xx)
            \ifthenelse{\lengthtest{#5 pt = #6 pt}}{% BEGIN( ↑ x)
                \ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN( ↑  )
                    %Equal,Up,Equal,Equal
                    Dress
                }{% END( ↑  )
                \ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN( ↑ ←)
                    %Equal,Up,Equal,Left
                    Daredevil
                }% END( ↑ ←)
                {% BEGIN( ↑ →)
                    %Equal,Up,Equal,Right
                    Heist
                }}% END( ↑ →)
            }{% END( ↑ x)
            \ifthenelse{\lengthtest{#5 pt > #6 pt}}{% BEGIN( ↑←x)
                \ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN( ↑← )
                    %Equal,Up,Left,Equal
                    Heist
                }{% END( ↑← )
                \ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN( ↑←←)
                    %Equal,Up,Left,Left
                    Aidos
                }% END( ↑←←)
                {% BEGIN( ↑←→)
                    %Equal,Up,Left,Right
                    Hazard
                }}% END( ↑←→)
            }% END( ↑←x)
            {% BEGIN( ↑→x)
                \ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN( ↑→ )
                    %Equal,Up,Right,Equal
                    Fossick
                }{% END( ↑→ )
                \ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN( ↑→←)
                    %Equal,Up,Right,Left
                    Safety
                }% END( ↑→←)
                {% BEGIN( ↑→→)
                    %Equal,Up,Right,Right
                    Picnic
                }}% END( ↑→→)
            }}% END( ↑→x)
        }% END( ↑xx)
        {% BEGIN( ↓xx)
            \ifthenelse{\lengthtest{#5 pt = #6 pt}}{% BEGIN( ↓ x)
                \ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN( ↓  )
                    %Equal,Down,Equal,Equal
                    Dress
                }{% END( ↓  )
                \ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN( ↓ ←)
                    %Equal,Down,Equal,Left
                    Heist
                }% END( ↓ ←)
                {% BEGIN( ↓ →)
                    %Equal,Down,Equal,Right
                    Fossick
                }}% END( ↓ →)
            }{% END( ↓ x)
            \ifthenelse{\lengthtest{#5 pt > #6 pt}}{% BEGIN( ↓←x)
                \ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN( ↓← )
                    %Equal,Down,Left,Equal
                    Daredevil
                }{% END( ↓← )
                \ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN( ↓←←)
                    %Equal,Down,Left,Left
                    Aidos
                }% END( ↓←←)
                {% BEGIN( ↓←→)
                    %Equal,Down,Left,Right
                    Safety
                }}% END( ↓←→)
            }% END( ↓←x)
            {% BEGIN( ↓→x)
                \ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN( ↓→ )
                    %Equal,Down,Right,Equal
                    Heist
                }{% END( ↓→ )
                \ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN( ↓→←)
                    %Equal,Down,Right,Left
                    Hazard
                }% END( ↓→←)
                {% BEGIN( ↓→→)
                    %Equal,Down,Right,Right
                    Picnic
                }}% END( ↓→→)
            }}% END( ↓→x)
        }}% END( ↓xx)
    }{% END( xxx)
    \ifthenelse{\lengthtest{#1 pt > #3 pt}}{% BEGIN(↑xxx)
        \ifthenelse{\lengthtest{#2 pt = #4 pt}}{% BEGIN(↑ xx)
            \ifthenelse{\lengthtest{#5 pt = #6 pt}}{% BEGIN(↑  x)
                \ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(↑   )
                    %Up,Equal,Equal,Equal
                    Dress
                }{% END(↑   )
                \ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(↑  ←)
                    %Up,Equal,Equal,Left
                    Heist
                }% END(↑  ←)
                {% BEGIN(↑  →)
                    %Up,Equal,Equal,Right
                    Daredevil
                }}% END(↑  →)
            }{% END(↑  x)
            \ifthenelse{\lengthtest{#5 pt > #6 pt}}{% BEGIN(↑ ←x)
                \ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(↑ ← )
                    %Up,Equal,Left,Equal
                    Fossick
                }{% END(↑ ← )
                \ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(↑ ←←)
                    %Up,Equal,Left,Left
                    Picnic
                }% END(↑ ←←)
                {% BEGIN(↑ ←→)
                    %Up,Equal,Left,Right
                    Safety
                }}% END(↑ ←→)
            }% END(↑ ←x)
            {% BEGIN(↑ →x)
                \ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(↑ → )
                    %Up,Equal,Right,Equal
                    Heist
                }{% END(↑ → )
                \ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(↑ →←)
                    %Up,Equal,Right,Left
                    Hazard
                }% END(↑ →←)
                {% BEGIN(↑ →→)
                    %Up,Equal,Right,Right
                    Aidos
                }}% END(↑ →→)
            }}% END(↑ →x)
        }{% END(↑ xx)
        \ifthenelse{\lengthtest{#2 pt > #4 pt}}{% BEGIN(↑↑xx)
            \ifthenelse{\lengthtest{#5 pt = #6 pt}}{% BEGIN(↑↑ x)
                \ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(↑↑  )
                    %Up,Up,Equal,Equal
                    Ignorance
                }{% END(↑↑  )
                \ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(↑↑ ←)
                    %Up,Up,Equal,Left
                    Aidos
                }% END(↑↑ ←)
                {% BEGIN(↑↑ →)
                    %Up,Up,Equal,Right
                    Aidos
                }}% END(↑↑ →)
            }{% END(↑↑ x)
            \ifthenelse{\lengthtest{#5 pt > #6 pt}}{% BEGIN(↑↑←x)
                \ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(↑↑← )
                    %Up,Up,Left,Equal
                    Picnic
                }{% END(↑↑← )
                \ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(↑↑←←)
                    %Up,Up,Left,Left
                    Dominant
                }% END(↑↑←←)
                {% BEGIN(↑↑←→)
                    %Up,Up,Left,Right
                    Samaritan
                }}% END(↑↑←→)
            }% END(↑↑←x)
            {% BEGIN(↑↑→x)
                \ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(↑↑→ )
                    %Up,Up,Right,Equal
                    Picnic
                }{% END(↑↑→ )
                \ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(↑↑→←)
                    %Up,Up,Right,Left
                    Samaritan
                }% END(↑↑→←)
                {% BEGIN(↑↑→→)
                    %Up,Up,Right,Right
                    Dominant
                }}% END(↑↑→→)
            }}% END(↑↑→x)
        }% END(↑↑xx)
        {% BEGIN(↑↓xx)
            \ifthenelse{\lengthtest{#5 pt = #6 pt}}{% BEGIN(↑↓ x)
                \ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(↑↓  )
                    %Up,Down,Equal,Equal
                    Horseplay
                }{% END(↑↓  )
                \ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(↑↓ ←)
                    %Up,Down,Equal,Left
                    Hazard
                }% END(↑↓ ←)
                {% BEGIN(↑↓ →)
                    %Up,Down,Equal,Right
                    Safety
                }}% END(↑↓ →)
            }{% END(↑↓ x)
            \ifthenelse{\lengthtest{#5 pt > #6 pt}}{% BEGIN(↑↓←x)
                \ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(↑↓← )
                    %Up,Down,Left,Equal
                    Safety
                }{% END(↑↓← )
                \ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(↑↓←←)
                    %Up,Down,Left,Left
                    Samaritan
                }% END(↑↓←←)
                {% BEGIN(↑↓←→)
                    %Up,Down,Left,Right
                    Coordination
                }}% END(↑↓←→)
            }% END(↑↓←x)
            {% BEGIN(↑↓→x)
                \ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(↑↓→ )
                    %Up,Down,Right,Equal
                    Hazard
                }{% END(↑↓→ )
                \ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(↑↓→←)
                    %Up,Down,Right,Left
                    Cycle
                }% END(↑↓→←)
                {% BEGIN(↑↓→→)
                    %Up,Down,Right,Right
                    Samaritan
                }}% END(↑↓→→)
            }}% END(↑↓→x)
        }}% END(↑↓xx)
    }% END(↑xxx) 
    {% BEGIN(↓xxx)
        \ifthenelse{\lengthtest{#2 pt = #4 pt}}{% BEGIN(↓ xx)
            \ifthenelse{\lengthtest{#5 pt = #6 pt}}{% BEGIN(↓  x)
                \ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(↓   )
                    %Down,Equal,Equal,Equal
                    Dress
                }{% END(↓   )
                \ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(↓  ←)
                    %Down,Equal,Equal,Left
                    Fossick
                }% END(↓  ←)
                {% BEGIN(↓  →)
                    %Down,Equal,Equal,Right
                    Heist
                }}% END(↓  →)
            }{% END(↓  x)
            \ifthenelse{\lengthtest{#5 pt > #6 pt}}{% BEGIN(↓ ←x)
                \ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(↓ ← )
                    %Down,Equal,Equal,Equal
                    Dress
                }{% END(↓ ← )
                \ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(↓ ←←)
                    %Down,Equal,Equal,Left
                    Picnic
                }% END(↓ ←←)
                {% BEGIN(↓ ←→)
                    %Down,Equal,Equal,Right
                    Hazard
                }}% END(↓ ←→)
            }% END(↓ ←x)
            {% BEGIN(↓ →x)
                \ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(↓ → )
                    %Down,Equal,Right,Equal
                    Daredevil
                }{% END(↓ → )
                \ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(↓ →←)
                    %Down,Equal,Right,Left
                    Safety
                }% END(↓ →←)
                {% BEGIN(↓ →→)
                    %Down,Equal,Right,Right
                    Aidos
                }}% END(↓ →→)
            }}% END(↓ →x)
        }{% END(↓ xx)
        \ifthenelse{\lengthtest{#2 pt > #4 pt}}{% BEGIN(↓↑xx)
            \ifthenelse{\lengthtest{#5 pt = #6 pt}}{% BEGIN(↓↑ x)
                \ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(↓↑  )
                    %Down,Up,Equal,Equal
                    Horseplay
                }{% END(↓↑  )
                \ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(↓↑ ←)
                    %Down,Up,Equal,Left
                    Safety
                }% END(↓↑ ←)
                {% BEGIN(↓↑ →)
                    %Down,Up,Equal,Right
                    Hazard
                }}% END(↓↑ →)
            }{% END(↓↑ x)
            \ifthenelse{\lengthtest{#5 pt > #6 pt}}{% BEGIN(↓↑←x)
                \ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(↓↑← )
                    %Down,Up,Left,Equal
                    Hazard
                }{% END(↓↑← )
                \ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(↓↑←←)
                    %Down,Up,Left,Left
                    Samaritan
                }% END(↓↑←←)
                {% BEGIN(↓↑←→)
                    %Down,Up,Left,Right
                    Cycle
                }}% END(↓↑←→)
            }% END(↓↑←x)
            {% BEGIN(↓↑→x)
                \ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(↓↑→ )
                    %Down,Up,Right,Equal
                    Safety
                }{% END(↓↑→ )
                \ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(↓↑→←)
                    %Down,Up,Right,Left
                    Coordination
                }% END(↓↑→←)
                {% BEGIN(↓↑→→)
                    %Down,Up,Right,Right
                    Samaritan
                }}% END(↓↑→→)
            }}% END(↓ →x)
        }% END(↓↑xx)
        {% BEGIN(↓↓xx)
            \ifthenelse{\lengthtest{#5 pt = #6 pt}}{% BEGIN(↓↓ x)
                \ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(↓↓  )
                    %Down,Down,Equal,Equal
                    Ignorance
                }{% END(↓↓  )
                \ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(↓↓ ←)
                    %Down,Down,Equal,Left
                    Picnic
                }% END(↓↓ ←)
                {% BEGIN(↓↓ →)
                    %Down,Down,Equal,Right
                    Picnic
                }}% END(↓↓ →)
            }{% END(↓↓ x)
            \ifthenelse{\lengthtest{#5 pt > #6 pt}}{% BEGIN(↓↓←x)
                \ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(↓↓← )
                    %Down,Down,Left,Equal
                    Aidos
                }{% END(↓↓← )
                \ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(↓↓←←)
                    %Down,Down,Left,Left
                    Dominant
                }% END(↓↓←←)
                {% BEGIN(↓↓←→)
                    %Down,Down,Left,Right
                    Samaritan
                }}% END(↓↓←→)
            }% END(↓↓←x)
            {% BEGIN(↓↓→x)
                \ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(↓↓→ )
                    %Down,Down,Right,Equal
                    Aidos
                }{% END(↓↓→ )
                \ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(↓↓→←)
                    %Down,Down,Right,Left
                    Samaritan
                }% END(↓↓→←)
                {% BEGIN(↓↓→→)
                    %Down,Down,Right,Right
                    Dominant
                }}% END(↓↓→→)
            }}% END(↓↓→x)
        }}% END(↓↓xx)
    }}% END(↓xxx)
}


% \DeclareRobustCommand{\brnameB}[8]{%
%     \ifthenelse{\lengthtest{#3 pt > #1 pt}}{%
%         \def\rowa{01}%
%     }{%
%         \ifthenelse{\lengthtest{#3 pt < #1 pt}}{%
%             \def\rowa{10}%
%         }{%
%             \def\rowa{00}%
%         }%
%     }%
%     \ifthenelse{\lengthtest{#4 pt > #2 pt}}{%
%         \def\rowb{01}%
%     }{%
%         \ifthenelse{\lengthtest{#4 pt < #2 pt}}{%
%             \def\rowb{10}%
%         }{%
%             \def\rowb{00}%
%         }%
%     }%
%     \ifthenelse{\lengthtest{#6 pt > #5 pt}}{%
%         \def\cola{01}%
%     }{%
%         \ifthenelse{\lengthtest{#6 pt < #5 pt}}{%
%             \def\cola{10}%
%         }{%
%             \def\cola{00}%
%         }%
%     }%
%     \ifthenelse{\lengthtest{#8 pt > #7 pt}}{%
%         \def\colb{01}%
%     }{%
%         \ifthenelse{\lengthtest{#8 pt < #7 pt}}{%
%             \def\colb{10}%
%         }{%
%             \def\colb{00}%
%         }%
%     }%
%     \ifthenelse{%
%         \(\equal{\rowa}{00} \AND \equal{\rowb}{00} \AND \equal{\cola}{00} \AND \equal{\colb}{00}\) %
%     }{Null}{}%
%     \ifthenelse{%
%         \(\equal{\rowa}{00} \AND \equal{\rowb}{00} \AND \equal{\cola}{00} \AND \equal{\colb}{01}\) \OR %
%         \(\equal{\rowa}{00} \AND \equal{\rowb}{00} \AND \equal{\cola}{00} \AND \equal{\colb}{10}\) \OR %
%         \(\equal{\rowa}{00} \AND \equal{\rowb}{00} \AND \equal{\cola}{01} \AND \equal{\colb}{00}\) \OR %
%         \(\equal{\rowa}{00} \AND \equal{\rowb}{00} \AND \equal{\cola}{10} \AND \equal{\colb}{00}\) \OR %
%         \(\equal{\rowa}{00} \AND \equal{\rowb}{01} \AND \equal{\cola}{00} \AND \equal{\colb}{00}\) \OR %
%         \(\equal{\rowa}{00} \AND \equal{\rowb}{10} \AND \equal{\cola}{00} \AND \equal{\colb}{00}\) \OR %
%         \(\equal{\rowa}{01} \AND \equal{\rowb}{00} \AND \equal{\cola}{00} \AND \equal{\colb}{00}\) \OR %
%         \(\equal{\rowa}{10} \AND \equal{\rowb}{00} \AND \equal{\cola}{00} \AND \equal{\colb}{00}\) %
%     }{Dress}{}%
%     \ifthenelse{%
%         \(\equal{\rowa}{00} \AND \equal{\rowb}{00} \AND \equal{\cola}{01} \AND \equal{\colb}{10}\) \OR %
%         \(\equal{\rowa}{00} \AND \equal{\rowb}{00} \AND \equal{\cola}{10} \AND \equal{\colb}{01}\) \OR %
%         \(\equal{\rowa}{01} \AND \equal{\rowb}{10} \AND \equal{\cola}{00} \AND \equal{\colb}{00}\) \OR %
%         \(\equal{\rowa}{10} \AND \equal{\rowb}{01} \AND \equal{\cola}{00} \AND \equal{\colb}{00}\) %
%     }{Horseplay}{}%
%     \ifthenelse{%
%         \(\equal{\rowa}{00} \AND \equal{\rowb}{00} \AND \equal{\cola}{01} \AND \equal{\colb}{01}\) \OR %
%         \(\equal{\rowa}{00} \AND \equal{\rowb}{00} \AND \equal{\cola}{10} \AND \equal{\colb}{10}\) \OR %
%         \(\equal{\rowa}{01} \AND \equal{\rowb}{01} \AND \equal{\cola}{00} \AND \equal{\colb}{00}\) \OR %
%         \(\equal{\rowa}{10} \AND \equal{\rowb}{10} \AND \equal{\cola}{00} \AND \equal{\colb}{00}\) %
%     }{Ignorance}{}%
%     \ifthenelse{%
%         \(\equal{\rowa}{01} \AND \equal{\rowb}{01} \AND \equal{\cola}{01} \AND \equal{\colb}{01}\) \OR %
%         \(\equal{\rowa}{01} \AND \equal{\rowb}{01} \AND \equal{\cola}{10} \AND \equal{\colb}{10}\) \OR %
%         \(\equal{\rowa}{10} \AND \equal{\rowb}{10} \AND \equal{\cola}{10} \AND \equal{\colb}{10}\) \OR %
%         \(\equal{\rowa}{10} \AND \equal{\rowb}{10} \AND \equal{\cola}{01} \AND \equal{\colb}{01}\) %
%     }{Dominant}{}%
%     \ifthenelse{%
%         \(\equal{\rowa}{01} \AND \equal{\rowb}{10} \AND \equal{\cola}{01} \AND \equal{\colb}{10}\) \OR %
%         \(\equal{\rowa}{10} \AND \equal{\rowb}{01} \AND \equal{\cola}{10} \AND \equal{\colb}{01}\) %
%     }{Coordination}{}%
%     \ifthenelse{%
%         \(\equal{\rowa}{01} \AND \equal{\rowb}{10} \AND \equal{\cola}{10} \AND \equal{\colb}{01}\) \OR %
%         \(\equal{\rowa}{10} \AND \equal{\rowb}{01} \AND \equal{\cola}{01} \AND \equal{\colb}{10}\) %
%     }{Cycle}{}%
%     \ifthenelse{%
%         \(\equal{\rowa}{01} \AND \equal{\rowb}{01} \AND \equal{\cola}{01} \AND \equal{\colb}{10}\) \OR %
%         \(\equal{\rowa}{10} \AND \equal{\rowb}{10} \AND \equal{\cola}{01} \AND \equal{\colb}{10}\) \OR %
%         \(\equal{\rowa}{01} \AND \equal{\rowb}{01} \AND \equal{\cola}{10} \AND \equal{\colb}{01}\) \OR %
%         \(\equal{\rowa}{10} \AND \equal{\rowb}{10} \AND \equal{\cola}{10} \AND \equal{\colb}{01}\) \OR %
%         \(\equal{\rowa}{01} \AND \equal{\rowb}{10} \AND \equal{\cola}{01} \AND \equal{\colb}{01}\) \OR %
%         \(\equal{\rowa}{10} \AND \equal{\rowb}{01} \AND \equal{\cola}{01} \AND \equal{\colb}{01}\) \OR %
%         \(\equal{\rowa}{01} \AND \equal{\rowb}{10} \AND \equal{\cola}{10} \AND \equal{\colb}{10}\) \OR %
%         \(\equal{\rowa}{10} \AND \equal{\rowb}{01} \AND \equal{\cola}{10} \AND \equal{\colb}{10}\) %
%     }{Samaritan}{}%
%     \ifthenelse{%
%         \(\equal{\rowa}{01} \AND \equal{\rowb}{10} \AND \equal{\cola}{00} \AND \equal{\colb}{01}\) \OR %
%         \(\equal{\rowa}{01} \AND \equal{\rowb}{10} \AND \equal{\cola}{10} \AND \equal{\colb}{00}\) \OR %
%         \(\equal{\rowa}{10} \AND \equal{\rowb}{01} \AND \equal{\cola}{00} \AND \equal{\colb}{10}\) \OR %
%         \(\equal{\rowa}{10} \AND \equal{\rowb}{01} \AND \equal{\cola}{01} \AND \equal{\colb}{00}\) \OR %
%         \(\equal{\rowa}{00} \AND \equal{\rowb}{01} \AND \equal{\cola}{01} \AND \equal{\colb}{10}\) \OR %
%         \(\equal{\rowa}{10} \AND \equal{\rowb}{00} \AND \equal{\cola}{01} \AND \equal{\colb}{10}\) \OR %
%         \(\equal{\rowa}{00} \AND \equal{\rowb}{10} \AND \equal{\cola}{10} \AND \equal{\colb}{01}\) \OR %
%         \(\equal{\rowa}{01} \AND \equal{\rowb}{00} \AND \equal{\cola}{10} \AND \equal{\colb}{01}\) %
%     }{Hazard}{}%
%     \ifthenelse{%
%         \(\equal{\rowa}{01} \AND \equal{\rowb}{10} \AND \equal{\cola}{00} \AND \equal{\colb}{10}\) \OR %
%         \(\equal{\rowa}{01} \AND \equal{\rowb}{10} \AND \equal{\cola}{01} \AND \equal{\colb}{00}\) \OR %
%         \(\equal{\rowa}{10} \AND \equal{\rowb}{01} \AND \equal{\cola}{00} \AND \equal{\colb}{01}\) \OR %
%         \(\equal{\rowa}{10} \AND \equal{\rowb}{01} \AND \equal{\cola}{10} \AND \equal{\colb}{00}\) \OR %
%         \(\equal{\rowa}{00} \AND \equal{\rowb}{10} \AND \equal{\cola}{01} \AND \equal{\colb}{10}\) \OR %
%         \(\equal{\rowa}{01} \AND \equal{\rowb}{00} \AND \equal{\cola}{01} \AND \equal{\colb}{10}\) \OR %
%         \(\equal{\rowa}{00} \AND \equal{\rowb}{01} \AND \equal{\cola}{10} \AND \equal{\colb}{01}\) \OR %
%         \(\equal{\rowa}{10} \AND \equal{\rowb}{00} \AND \equal{\cola}{10} \AND \equal{\colb}{01}\) %
%     }{Safety}{}%
%     \ifthenelse{%
%         \(\equal{\rowa}{01} \AND \equal{\rowb}{01} \AND \equal{\cola}{01} \AND \equal{\colb}{00}\) \OR %
%         \(\equal{\rowa}{01} \AND \equal{\rowb}{01} \AND \equal{\cola}{10} \AND \equal{\colb}{00}\) \OR %
%         \(\equal{\rowa}{10} \AND \equal{\rowb}{10} \AND \equal{\cola}{00} \AND \equal{\colb}{01}\) \OR %
%         \(\equal{\rowa}{10} \AND \equal{\rowb}{10} \AND \equal{\cola}{00} \AND \equal{\colb}{10}\) \OR %
%         \(\equal{\rowa}{01} \AND \equal{\rowb}{00} \AND \equal{\cola}{01} \AND \equal{\colb}{01}\) \OR %
%         \(\equal{\rowa}{10} \AND \equal{\rowb}{00} \AND \equal{\cola}{01} \AND \equal{\colb}{01}\) \OR %
%         \(\equal{\rowa}{00} \AND \equal{\rowb}{01} \AND \equal{\cola}{10} \AND \equal{\colb}{10}\) \OR %
%         \(\equal{\rowa}{00} \AND \equal{\rowb}{10} \AND \equal{\cola}{10} \AND \equal{\colb}{10}\) %
%     }{Aidos}{}%
%     \ifthenelse{%
%         \(\equal{\rowa}{01} \AND \equal{\rowb}{01} \AND \equal{\cola}{00} \AND \equal{\colb}{01}\) \OR %
%         \(\equal{\rowa}{01} \AND \equal{\rowb}{01} \AND \equal{\cola}{00} \AND \equal{\colb}{10}\) \OR %
%         \(\equal{\rowa}{10} \AND \equal{\rowb}{10} \AND \equal{\cola}{01} \AND \equal{\colb}{00}\) \OR %
%         \(\equal{\rowa}{10} \AND \equal{\rowb}{10} \AND \equal{\cola}{10} \AND \equal{\colb}{00}\) \OR %
%         \(\equal{\rowa}{00} \AND \equal{\rowb}{01} \AND \equal{\cola}{01} \AND \equal{\colb}{01}\) \OR %
%         \(\equal{\rowa}{00} \AND \equal{\rowb}{10} \AND \equal{\cola}{01} \AND \equal{\colb}{01}\) \OR %
%         \(\equal{\rowa}{01} \AND \equal{\rowb}{00} \AND \equal{\cola}{10} \AND \equal{\colb}{10}\) \OR %
%         \(\equal{\rowa}{10} \AND \equal{\rowb}{00} \AND \equal{\cola}{10} \AND \equal{\colb}{10}\) %
%     }{Picnic}{}%
%     \ifthenelse{%
%         \(\equal{\rowa}{01} \AND \equal{\rowb}{00} \AND \equal{\cola}{01} \AND \equal{\colb}{00}\) \OR %
%         \(\equal{\rowa}{10} \AND \equal{\rowb}{00} \AND \equal{\cola}{00} \AND \equal{\colb}{01}\) \OR %
%         \(\equal{\rowa}{00} \AND \equal{\rowb}{10} \AND \equal{\cola}{00} \AND \equal{\colb}{10}\) \OR %
%         \(\equal{\rowa}{00} \AND \equal{\rowb}{01} \AND \equal{\cola}{10} \AND \equal{\colb}{00}\) %
%     }{Daredevil}{}%
%     \ifthenelse{%
%         \(\equal{\rowa}{10} \AND \equal{\rowb}{00} \AND \equal{\cola}{10} \AND \equal{\colb}{00}\) \OR %
%         \(\equal{\rowa}{01} \AND \equal{\rowb}{00} \AND \equal{\cola}{00} \AND \equal{\colb}{10}\) \OR %
%         \(\equal{\rowa}{00} \AND \equal{\rowb}{01} \AND \equal{\cola}{00} \AND \equal{\colb}{01}\) \OR %
%         \(\equal{\rowa}{00} \AND \equal{\rowb}{10} \AND \equal{\cola}{01} \AND \equal{\colb}{00}\) %
%     }{Fossick}{}%
%     \ifthenelse{%
%         \(\equal{\rowa}{10} \AND \equal{\rowb}{00} \AND \equal{\cola}{01} \AND \equal{\colb}{00}\) \OR %
%         \(\equal{\rowa}{01} \AND \equal{\rowb}{00} \AND \equal{\cola}{00} \AND \equal{\colb}{01}\) \OR %
%         \(\equal{\rowa}{00} \AND \equal{\rowb}{01} \AND \equal{\cola}{00} \AND \equal{\colb}{10}\) \OR %
%         \(\equal{\rowa}{00} \AND \equal{\rowb}{10} \AND \equal{\cola}{10} \AND \equal{\colb}{00}\) \OR %
%         \(\equal{\rowa}{01} \AND \equal{\rowb}{00} \AND \equal{\cola}{10} \AND \equal{\colb}{00}\) \OR %
%         \(\equal{\rowa}{10} \AND \equal{\rowb}{00} \AND \equal{\cola}{00} \AND \equal{\colb}{10}\) \OR %
%         \(\equal{\rowa}{00} \AND \equal{\rowb}{10} \AND \equal{\cola}{00} \AND \equal{\colb}{01}\) \OR %
%         \(\equal{\rowa}{00} \AND \equal{\rowb}{01} \AND \equal{\cola}{01} \AND \equal{\colb}{00}\) %
%     }{Heist}{}%
% }

\DeclareRobustCommand{\jointgraph}[5][%
    border color=.,%
    color=.,%
]{%
    \tikzset{graph,#1}%
    \raisebox{-0.15em}{%
    \begin{tikzpicture}[anchor=center]
        % Border.
        \draw[draw=\@graphkey{border color},line width=0.02em] (-0.35em,-0.35em) rectangle (0.35em,0.35em);
        
        % Joint.
        \fill[fill=\@graphkey{color},opacity=#2] (-0.05em,0.05em)  rectangle (-0.3em, 0.3em);
        \fill[fill=\@graphkey{color},opacity=#3] (0.05em,0.05em)  rectangle (0.3em, 0.3em);
        \fill[fill=\@graphkey{color},opacity=#4] (-0.05em,-0.05em)  rectangle (-0.3em, -0.3em);
        \fill[fill=\@graphkey{color},opacity=#5] (0.05em,-0.05em)  rectangle (0.3em, -0.3em);
    \end{tikzpicture}%
}}

\DeclareRobustCommand{\rowcondgraph}[5][%
    border color=.,%
    color=.,%
    row player color=.,%
    column player color=.,%
]{%
    \@setdefaultgraphkey%
    \tikzset{graph,#1}%
    \raisebox{-0.15em}{%
    \begin{tikzpicture}[anchor=center]
        % Border.
        \draw[draw=\@graphkey{border color},line width=0.02em] (-0.35em,-0.35em) rectangle (0.35em,0.35em);
        \draw[draw=\@graphkey{column player color},line width=0.02em] (-0.35em,0.4em) -- (0.35em,0.4em);
        
        % Joint.
        \fill[fill=\@graphkey{color},opacity={#2 /(#2 + #3)}] (-0.05em,0.05em)  rectangle (-0.3em, 0.3em);
        \fill[fill=\@graphkey{color},opacity={#3 /(#2 + #3)}] (0.05em,0.05em)  rectangle (0.3em, 0.3em);
        \fill[fill=\@graphkey{color},opacity={#4 /(#4 + #5)}] (-0.05em,-0.05em)  rectangle (-0.3em, -0.3em);
        \fill[fill=\@graphkey{color},opacity={#5 /(#4 + #5)}] (0.05em,-0.05em)  rectangle (0.3em, -0.3em);
        
        % Marginal.
        \fill[fill=\@graphkey{row player color},opacity={#2 + #3}] (-0.4em,0.05em)  rectangle (-0.65em, 0.3em);
        \fill[fill=\@graphkey{row player color},opacity={#3 + #5}] (-0.4em,-0.05em)  rectangle (-0.65em, -0.3em);
    \end{tikzpicture}%
}}

\DeclareRobustCommand{\colcondgraph}[5][%
    border color=.,%
    color=.,%
    row player color=.,%
    column player color=.,%
]{%
    \@setdefaultgraphkey%
    \tikzset{graph,#1}%
    \raisebox{-0.15em}{%
    \begin{tikzpicture}[anchor=center]
        % Border.
        \draw[draw=\@graphkey{border color},line width=0.02em] (-0.35em,-0.35em) rectangle (0.35em,0.35em);
        \draw[draw=\@graphkey{row player color},line width=0.02em] (-0.4em,-0.35em) -- (-0.4em,0.35em);
        
        % Joint.
        \fill[fill=\@graphkey{color},opacity={#2 /(#2 + #4)}] (-0.05em,0.05em)  rectangle (-0.3em, 0.3em);
        \fill[fill=\@graphkey{color},opacity={#3 /(#3 + #5)}] (0.05em,0.05em)  rectangle (0.3em, 0.3em);
        \fill[fill=\@graphkey{color},opacity={#4 /(#2 + #4)}] (-0.05em,-0.05em)  rectangle (-0.3em, -0.3em);
        \fill[fill=\@graphkey{color},opacity={#5 /(#3 + #5)}] (0.05em,-0.05em)  rectangle (0.3em, -0.3em);
        
        % Marginal.
        \fill[fill=\@graphkey{column player color},opacity={#2 + #4}] (-0.05em,0.4em)  rectangle (-0.3em, 0.65em);
        \fill[fill=\@graphkey{column player color},opacity={#3 + #5}] (0.05em,0.4em)  rectangle (0.3em, 0.65em);
    \end{tikzpicture}%
}}

\DeclareRobustCommand{\marginalgraph}[5][]{%
    \@setdefaultgraphkey%
    \tikzset{%
        graph,%
        border color=.,%
        color=.,%
        row player color=.,%
        column player color=.,%
        #1}%
    \raisebox{-0.15em}{%
    \begin{tikzpicture}[anchor=center]
        \draw[draw=\@graphkey{border color},line width=0.02em] (-0.35em,-0.35em) rectangle (0.35em,0.35em);
    
        % Marginal.
        \fill[fill=\@graphkey{row player color},opacity={#2 + #3}] (-0.4em,0.05em)  rectangle (-0.65em, 0.3em);
        \fill[fill=\@graphkey{row player color},opacity={#3 + #5}] (-0.4em,-0.05em)  rectangle (-0.65em, -0.3em);
    
        \fill[fill=\@graphkey{column player color},opacity={#2 + #4}] (-0.05em,0.4em)  rectangle (-0.3em, 0.65em);
        \fill[fill=\@graphkey{column player color},opacity={#3 + #5}] (0.05em,0.4em)  rectangle (0.3em, 0.65em);
    \end{tikzpicture}%
}}

\DeclareRobustCommand{\jmgraph}[5][]{%
    \@setdefaultgraphkey%
    \tikzset{
        graph,%
        border color=.,%
        color=.,%
        row player color=.,%
        column player color=.,%
        #1}%
    \raisebox{-0.15em}{%
    \begin{tikzpicture}[anchor=center]
        % Border.
        \draw[draw=\@graphkey{border color},line width=0.02em] (-0.35em,-0.35em) rectangle (0.35em,0.35em);
        
        % Joint.
        \fill[fill=\@graphkey{color},opacity=#2] (-0.05em,0.05em)  rectangle (-0.3em, 0.3em);
        \fill[fill=\@graphkey{color},opacity=#3] (0.05em,0.05em)  rectangle (0.3em, 0.3em);
        \fill[fill=\@graphkey{color},opacity=#4] (-0.05em,-0.05em)  rectangle (-0.3em, -0.3em);
        \fill[fill=\@graphkey{color},opacity=#5] (0.05em,-0.05em)  rectangle (0.3em, -0.3em);
        
        % Marginal.
        \fill[fill=\@graphkey{column player color},opacity=#2+#4] (-0.05em,0.4em)  rectangle (-0.3em, 0.65em);
        \fill[fill=\@graphkey{column player color},opacity=#3+#5] (0.05em,0.4em)  rectangle (0.3em, 0.65em);
        
        \fill[fill=\@graphkey{row player color},opacity=#2+#3] (-0.4em,0.05em)  rectangle (-0.65em, 0.3em);
        \fill[fill=\@graphkey{row player color},opacity=#4+#5] (-0.4em,-0.05em)  rectangle (-0.65em, -0.3em);
    \end{tikzpicture}%
}}


\DeclareRobustCommand{\payoffstable}[9][]{%
    \@setdefaultgraphkey%
    \tikzset{
        graph,%
        row player color=.,%
        column player color=.,%
        row player first strategy label=A,%
        row player second strategy label=B,%
        column player first strategy label=A,%
        column player second strategy label=B,%
        label=,%
        #1}%
    \begin{tabular}{c|cc}
        \@graphkey{label} & {\color{\@graphkey{column player color}} \@graphkey{column player first strategy label}} & {\color{\@graphkey{column player color}} \@graphkey{column player second strategy label}} \\ \hline
        {\color{\@graphkey{row player color}} \@graphkey{row player first strategy label}} & {\color{\@graphkey{row player color}}$#2$}, {\color{\@graphkey{column player color}}$#6$} & {\color{\@graphkey{row player color}}$#3$}, {\color{\@graphkey{column player color}}$#7$} \\
        {\color{\@graphkey{row player color}} \@graphkey{row player second strategy label}} & {\color{\@graphkey{row player color}}$#4$}, {\color{\@graphkey{column player color}}$#8$} & {\color{\@graphkey{row player color}}$#5$}, {\color{\@graphkey{column player color}}$#9$} \\
    \end{tabular}%
}

\DeclareRobustCommand{\brpayoffstable}[9][]{%
    \payoffstable[#1,label={\brgraph[#1]{#2}{#3}{#4}{#5}{#6}{#7}{#8}{#9}}]{#2}{#3}{#4}{#5}{#6}{#7}{#8}{#9}%
}

\DeclareRobustCommand{\ordpayoffstable}[9][]{%
    \payoffstable[#1,label={\ordgraph[#1]{#2}{#3}{#4}{#5}{#6}{#7}{#8}{#9}}]{#2}{#3}{#4}{#5}{#6}{#7}{#8}{#9}%
}

\DeclareRobustCommand{\smallpayoffstable}[9][]{%
    \@setdefaultgraphkey%
    \tikzset{%
        graph,%
        row player color=.,%
        column player color=.,%
        #1}%
    \ifthenelse{\equal{\@graphkey{row player first strategy color}}{\empty}}{%
        \def\rowacolor{\@graphkey{row player color}}%
    }{%
        \def\rowacolor{\@graphkey{row player first strategy color}}%
    }%
    \ifthenelse{\equal{\@graphkey{row player second strategy color}}{\empty}}{%
        \def\rowbcolor{\@graphkey{row player color}}%
    }{%
        \def\rowbcolor{\@graphkey{row player second strategy color}}%
    }%
    \ifthenelse{\equal{\@graphkey{column player first strategy color}}{\empty}}{%
        \def\columnacolor{\@graphkey{column player color}}%
    }{%
        \def\columnacolor{\@graphkey{column player first strategy color}}%
    }%
    \ifthenelse{\equal{\@graphkey{column player second strategy color}}{\empty}}{%
        \def\columnbcolor{\@graphkey{column player color}}%
    }{%
        \def\columnbcolor{\@graphkey{column player second strategy color}}%
    }%
    $\begin{bsmallmatrix}{\color{\rowacolor}#2}, {\color{\columnacolor}#6}&{\color{\rowacolor}#3}, {\color{\columnbcolor}#7}\\{\color{\rowbcolor}#4}, {\color{\columnacolor}#8}&{\color{\rowbcolor}#5}, {\color{\columnbcolor}#9}\end{bsmallmatrix}$%
}

\DeclareRobustCommand{\jointtable}[5][]{%
    \@setdefaultgraphkey%
    \tikzset{%
        graph,%
        row player color=.,%
        column player color=.,%
        row player first strategy label=A,%
        row player second strategy label=B,%
        column player first strategy label=A,%
        column player second strategy label=B,%
        label=,%
        #1}%
    \begin{tabular}{c|cc}
        \@graphkey{label} & {\color{\@graphkey{column player color}} \@graphkey{column player first strategy label}} & {\color{\@graphkey{column player color}} \@graphkey{column player second strategy label}} \\ \hline
        {\color{\@graphkey{row player color}} \@graphkey{row player first strategy label}} & $#2$ & $#3$ \\
        {\color{\@graphkey{row player color}} \@graphkey{row player second strategy label}} & $#4$ & $#5$ \\
    \end{tabular}%
}

\DeclareRobustCommand{\jgjointtable}[5][%
    row player color=.,%
    column player color=.,%
    row player first strategy label=A,%
    row player second strategy label=B,%
    column player first strategy label=A,%
    column player second strategy label=B,%
    label=,%
]{%
    \jointtable[#1,label={\jointgraph[#1]{#2}{#3}{#4}{#5}}]{#2}{#3}{#4}{#5}%
}

\DeclareRobustCommand{\rcgjointtable}[5][]{%
    \jointtable[#1,label={\rowcondgraph[#1]{#2}{#3}{#4}{#5}}]{#2}{#3}{#4}{#5}%
}

\DeclareRobustCommand{\ccgjointtable}[5][]{%
    \jointtable[#1,label={\colcondgraph[#1]{#2}{#3}{#4}{#5}}]{#2}{#3}{#4}{#5}%
}

\DeclareRobustCommand{\mgjointtable}[5][]{%
    \jointtable[#1,label={\marginalgraph[#1]{#2}{#3}{#4}{#5}}]{#2}{#3}{#4}{#5}%
}

\DeclareRobustCommand{\jmgjointtable}[5][]{%
    \jointtable[#1,label={\jmgraph[#1]{#2}{#3}{#4}{#5}}]{#2}{#3}{#4}{#5}%
}

\newcommand{\@classboundaries}{
    % Main boundaries.
    \addplot[color=black,opacity=0.1] coordinates {(-1.0,-0.75) (1,-0.75)};
    \addplot[color=black,opacity=0.1] coordinates {(-1.0,-0.25) (1,-0.25)};
    \addplot[color=black,opacity=0.1] coordinates {(-1.0,0.25) (1,0.25)};
    \addplot[color=black,opacity=0.1] coordinates {(-1.0,0.75) (1,0.75)};

    \addplot[color=black,opacity=0.1] coordinates {(-0.75,-1.0) (-0.75,1)};
    \addplot[color=black,opacity=0.1] coordinates {(-0.25,-1.0) (-0.25,1)};
    \addplot[color=black,opacity=0.1] coordinates {(0.25,-1.0) (0.25,1)};
    \addplot[color=black,opacity=0.1] coordinates {(0.75,-1.0) (0.75,1)};
    
    % Faint boundaries.
    \addplot[color=black,opacity=0.1] coordinates {(-1.1,-0.75) (-1,-0.75)};
    \addplot[color=black,opacity=0.1] coordinates {(1,-0.75) (1.1,-0.75)};
    \addplot[color=black,opacity=0.1] coordinates {(-1.1,-0.25) (-1,-0.25)};
    \addplot[color=black,opacity=0.1] coordinates {(1,-0.25) (1.1,-0.25)};
    \addplot[color=black,opacity=0.1] coordinates {(-1.1,0.25) (-1,0.25)};
    \addplot[color=black,opacity=0.1] coordinates {(1,0.25) (1.1,0.25)};
    \addplot[color=black,opacity=0.1] coordinates {(-1.1,0.75) (-1,0.75)};
    \addplot[color=black,opacity=0.1] coordinates {(1,0.75) (1.1,0.75)};
    
    \addplot[color=black,opacity=0.1] coordinates {(-0.75,-1.1) (-0.75,-1)};
    \addplot[color=black,opacity=0.1] coordinates {(-0.75,1.0) (-0.75,1.1)};
    \addplot[color=black,opacity=0.1] coordinates {(-0.25,-1.1) (-0.25,-1)};
    \addplot[color=black,opacity=0.1] coordinates {(-0.25,1.0) (-0.25,1.1)};
    \addplot[color=black,opacity=0.1] coordinates {(0.25,-1.1) (0.25,-1)};
    \addplot[color=black,opacity=0.1] coordinates {(0.25,1.0) (0.25,1.1)};
    \addplot[color=black,opacity=0.1] coordinates {(0.75,-1.1) (0.75,-1)};
    \addplot[color=black,opacity=0.1] coordinates {(0.75,1.0) (0.75,1.1)};
}

\newcommand{\@eqboundaries}{
    % Fossick Equilibrium.
    \addplot+[
        only marks,
        mark=*,
        mark options={solid},
        mark size=0.75pt,
        color=black,
        fill opacity=0.5,
        draw opacity=0.0,
    ]
    coordinates {(0.25,0.25) (0.75,0.75) (-0.25,-0.75) (-0.75,-0.25)};
    
    % Left equilibrium.
    \addplot[color=black,style=semithick,opacity=0.5] coordinates {(-0.25,0.73) (-0.25,-0.23)};
    \addplot[color=black,style=semithick,opacity=0.5] coordinates {(0.75,0.23) (0.75,-0.73)};
    
    % Top equilibrium.
    \addplot[color=black,style=semithick,opacity=0.5] coordinates {(-0.73,0.75) (0.23,0.75)};
    \addplot[color=black,style=semithick,opacity=0.5] coordinates {(-0.23,-0.25) (0.73,-0.25)};
    
    % Right equilibrium.
    \addplot[color=black,style=semithick,opacity=0.5] coordinates {(0.25,1.0) (0.25,0.77)};
    \addplot[color=black,style=semithick,opacity=0.5] coordinates {(0.25,-0.27) (0.25,-1.0)};
    \addplot[color=black,style=semithick,opacity=0.5] coordinates {(-0.75,1.0) (-0.75,0.27)};
    \addplot[color=black,style=semithick,opacity=0.5] coordinates {(-0.75,-0.77) (-0.75,-1.0)};
    
    % Bottom equilibrium.
    \addplot[color=black,style=semithick,opacity=0.5] coordinates {(-1.0,0.25) (-0.27,0.25)};
    \addplot[color=black,style=semithick,opacity=0.5] coordinates {(0.77,0.25) (1.0,0.25)};
    \addplot[color=black,style=semithick,opacity=0.5] coordinates {(-1.0,-0.75) (-0.77,-0.75)};
    \addplot[color=black,style=semithick,opacity=0.5] coordinates {(0.27,-0.75) (1.0,-0.75)};
    
    % Three-equilibrium.
    \addplot[color=black,style=semithick,opacity=0.5] coordinates {(0.25,0.27) (0.25,0.75) (0.73,0.75)};
    \addplot[color=black,style=semithick,opacity=0.5] coordinates {(0.27,0.25) (0.75,0.25) (0.75,0.73)};
    
    \addplot[color=black,style=semithick,opacity=0.5] coordinates {(-0.75,-0.27) (-0.75,-0.75) (-0.27,-0.75)};
    \addplot[color=black,style=semithick,opacity=0.5] coordinates {(-0.73,-0.25) (-0.25,-0.25) (-0.25,-0.73)};
    
    % Faint stuff.
    \addplot[color=black,style=semithick,opacity=0.5] coordinates {(-1.1,-0.75) (-1,-0.75)};
    \addplot[color=black,style=semithick,opacity=0.5] coordinates {(1,-0.75) (1.1,-0.75)};
    \addplot[color=black,style=semithick,opacity=0.5] coordinates {(-1.1,0.25) (-1,0.25)};
    \addplot[color=black,style=semithick,opacity=0.5] coordinates {(1,0.25) (1.1,0.25)};
    
    \addplot[color=black,style=semithick,opacity=0.5] coordinates {(-0.75,-1.1) (-0.75,-1)};
    \addplot[color=black,style=semithick,opacity=0.5] coordinates {(-0.75,1.0) (-0.75,1.1)};
    \addplot[color=black,style=semithick,opacity=0.5] coordinates {(0.25,-1.1) (0.25,-1)};
    \addplot[color=black,style=semithick,opacity=0.5] coordinates {(0.25,1.0) (0.25,1.1)};
}

\newcommand{\@brgraphs}{
    \begin{pgfinterruptboundingbox}
        \foreach \x / \xtl / \xtr / \xbl / \xbr in {
            -1.0 / -1 / -1 / 1 / 1,
            -0.75 / -1 / 0 / 1 / 0,
            -0.5 / -1 / 1 / 1 / -1,
            -0.25 / 0 / 1 / 0 / -1,
            0.0 / 1 / 1 / -1 / -1,
            0.25 / 1 / 0 / -1 / 0,
            0.5 / 1 / -1 / -1 / 1,
            0.75 / 0 / -1 / 0 / 1,
            1.0  / -1 / -1 / 1 / 1
        }
            {
            \foreach \y / \ytl / \ytr / \ybl / \ybr in {
                -1.0  / -1 / 1 / -1 / 1,
                -0.75  / -1 / 1 / 0 / 0,
                -0.5  / -1 / 1 / 1 / -1,
                -0.25  / 0 / 0 / 1 / -1,
                0.0  / 1 / -1 / 1 / -1,
                0.25  / 1 / -1 / 0 / 0,
                0.5  / 1 / -1 / -1 / 1,
                0.75  / 0 / 0 / -1 / 1,
                1.0  / -1 / 1 / -1 / 1
            }
                {
                    \node[text=\embeddingkey{best-response graph color}] at (\x * \halfaxislength,\y * \halfaxislength) [] {\embeddingkey{best-response graph font size}\brgraph{\xtl}{\xtr}{\xbl}{\xbr}{\ytl}{\ytr}{\ybl}{\ybr}};
                }
            }
    \end{pgfinterruptboundingbox}
}

\newcommand{\@brnames}{
    \begin{pgfinterruptboundingbox}
        \foreach \x / \xtl / \xtr / \xbl / \xbr in {
            -1.0 / -1 / -1 / 1 / 1,
            -0.75 / -1 / 0 / 1 / 0,
            -0.5 / -1 / 1 / 1 / -1,
            -0.25 / 0 / 1 / 0 / -1,
            0.0 / 1 / 1 / -1 / -1,
            0.25 / 1 / 0 / -1 / 0,
            0.5 / 1 / -1 / -1 / 1,
            0.75 / 0 / -1 / 0 / 1,
            1.0  / -1 / -1 / 1 / 1
        }
            {
            \foreach \y / \ytl / \ytr / \ybl / \ybr in {
                -1.0  / -1 / 1 / -1 / 1,
                -0.75  / -1 / 1 / 0 / 0,
                -0.5  / -1 / 1 / 1 / -1,
                -0.25  / 0 / 0 / 1 / -1,
                0.0  / 1 / -1 / 1 / -1,
                0.25  / 1 / -1 / 0 / 0,
                0.5  / 1 / -1 / -1 / 1,
                0.75  / 0 / 0 / -1 / 1,
                1.0  / -1 / 1 / -1 / 1
            }
                {
                    \node[label={[label distance=\embeddingkey{best-response name distance}, text=\embeddingkey{best-response name color}]\embeddingkey{best-response name orientation}:{\embeddingkey{best-response name font size}\brname{\xtl}{\xtr}{\xbl}{\xbr}{\ytl}{\ytr}{\ybl}{\ybr}}}] at (\x * \halfaxislength,\y * \halfaxislength) {};
                }
            }
    \end{pgfinterruptboundingbox}
}

\newif\ifpartialtrivial
\newif\ifsymmetricstrategies
\newif\ifsymmetricplayers
\newif\ifnoclassboundaries
\newif\ifnoeqboundaries
\newif\ifnobrgraphs
\newif\ifnobrnames
\newif\ifnoaxeslabels
\newif\ifnoticklabels
\newcommand{\@setdefaultembeddingkey}{%
    \tikzset{
        embedding/.is family,
        embedding,
        width/.initial=\linewidth,
        image/.initial=,
        matrix/.initial=,
        points/.initial=,
        axis color/.initial=black,
        partial trivial/.is if=partialtrivial,
        symmetric strategies/.is if=symmetricstrategies,
        symmetric players/.is if=symmetricplayers,
        no class boundaries/.is if=noclassboundaries,
        no equilibrium boundaries/.is if=noeqboundaries,
        no best-response graphs/.is if=nobrgraphs,
        best-response graph color/.initial=black,
        best-response graph font size/.initial=\scriptsize,
        no best-response names/.is if=nobrnames,
        best-response name orientation/.initial=-90,
        best-response name distance/.initial=-0.1em,
        best-response name color/.initial=black!70,
        best-response name font size/.initial=\tiny,
        no axes labels/.is if=noaxeslabels,
        no tick labels/.is if=noticklabels,
    }%
}
\@setdefaultembeddingkey
\newcommand{\embeddingkey}[1]{\pgfkeysvalueof{/tikz/embedding/#1}}

\DeclareRobustCommand{\nontrivialembedding}[1][]{%
    \@setdefaultembeddingkey%
    \tikzset{embedding,#1}%
    \ifpartialtrivial%
        \pgfmathsetlengthmacro{\axislength}{\embeddingkey{width}*0.792}% 0.9*0.88
    \else
        \pgfmathsetlengthmacro{\axislength}{\embeddingkey{width}*0.9}%
    \fi
    \pgfmathsetlengthmacro{\halfaxislength}{\axislength*0.5}%
    \ifsymmetricplayers \else \ifsymmetricstrategies \else
        \begin{tikzpicture}[
            /pgfplots/y=\halfaxislength,
            /pgfplots/x=\halfaxislength
        ]%
            \begin{axis}[
                anchor=origin,
                axis lines = middle,
                xmin=-1.1, xmax=+1.1,
                ymin=-1.1, ymax=+1.1,
                xticklabels=\ifnoticklabels\empty\else{$-\pi$,$+\pi$}\fi,
                xtick={-1.0,+1.0},
                yticklabels=\ifnoticklabels\empty\else{$-\pi$,$+\pi$}\fi,
                ytick={-1.0,+1.0},
                x tick label style={yshift={-0.5em}},
                xlabel =\ifnoaxeslabels\empty\else{$\theta_r$}\fi,
                ylabel = \ifnoaxeslabels\empty\else{$\theta_c$}\fi,
                xmajorgrids=true,
                ymajorgrids=true,
                axis line style={%
                    \embeddingkey{axis color},%
                    opacity=0.2,%
                },
                grid style={%
                    dashed,%
                    black,%
                    opacity=0.2,%
                },
                axis on top,
            ]
                \ifthenelse{\equal{\embeddingkey{image}}{}}{}{%
                    \node[inner sep=0pt] (mxm) at (axis cs:0,0) {%
                    \includegraphics[width=\axislength]{\embeddingkey{image}}};
                }
                \ifthenelse{\equal{\embeddingkey{matrix}}{}}{}{%
                    \addplot[
                        matrix plot*,%
                        point meta=explicit,%
                    ] file[]{\embeddingkey{matrix}};
                }
                \ifthenelse{\equal{\embeddingkey{points}}{}}{}{%
                    \addplot[%
                        scatter,%
                        only marks,%
                        mark size=0.1em,%
                        scatter src=explicit,%
                        scatter/use mapped color={draw opacity=0,fill=mapped color},%
                    ] table[x=pitheta1,y=pitheta2,meta=color]{\embeddingkey{points}};
                }
                \ifnoclassboundaries \else \@classboundaries \fi
                \ifnoeqboundaries \else \@eqboundaries \fi
            \end{axis}%
            \ifnobrgraphs \else \@brgraphs \fi
            \ifnobrnames \else \@brnames \fi
        \end{tikzpicture}%
    \fi \fi%
}


% Assume that the final width of a plot has an additional bias.
% measuredWidth = candidateWidth + bias
%
% Try an initial guess using the targetWidth.
% measuredWidth = targetWidth + bias
%
% What candidateWidth will result in the targetWidth?
% targetWidth = candidateWidth + bias
% candidateWidth = targetWidth - bias
%                = targetWidth - (targetWidth + measuredWidth)
%                = 2*targetWidth - measuredWidth
\newsavebox{\@candidateBox}
\newcommand{\@reWidthToTargetWidth}[3]{%
    \pgfmathsetmacro{\@targetWidth}{#3}%
    \pgfmathsetmacro{\@setWidth}{#3}%
    \begin{lrbox}{\@candidateBox}{\tikzset{external/export=false}#2}\end{lrbox}%
    \pgfmathsetmacro{\@setWidth}{2*\@targetWidth-\wd\@candidateBox}%
    #1%
}
\newcommand{\@reScaleToTargetWidth}[3]{%
    \pgfmathsetmacro{\@targetWidth}{#3}%
    \pgfmathsetmacro{\@setWidth}{#3}%
    \pgfmathsetmacro{\@setScale}{4}% 
    \begin{lrbox}{\@candidateBox}{\tikzset{external/export=false}#2}\end{lrbox}%
    \pgfmathsetmacro{\@setScale}{\@setScale*\@targetWidth/\wd\@candidateBox}%
    #1%
}


\newif\ifnocontent
\newcommand{\@setdefaultmarginalsimplexkey}{%
    \tikzset{
        marginalsimplex/.is family,%
        marginalsimplex,%
        width/.initial=\linewidth,%
        scale/.initial=1.0,%
        row player label/.initial={\footnotesize Row Player},%
        column player label/.initial={\footnotesize Column Player},%
        row player first strategy label/.initial={\footnotesize A},%
        row player second strategy label/.initial={\footnotesize B},%
        column player first strategy label/.initial={\footnotesize A},%
        column player second strategy label/.initial={\footnotesize B},%
        points/.initial=,%
        regions/.initial=,%
        contour/.initial=,%
        heatmap/.initial=,%
        quiver/.initial=,%
        quiver scale arrows/.initial=0.1,%
        streams/.initial=,%
        no content/.is if=nocontent,%
        epsilon/.initial=0.01,%
        samples/.initial=41,%
    }%
}
\@setdefaultmarginalsimplexkey
\newcommand{\marginalsimplexkey}[1]{\pgfkeysvalueof{/tikz/marginalsimplex/#1}}

\DeclareRobustCommand{\marginalsimplex}[1][]{%
    \tikzset{marginalsimplex,#1} % Process Keys passed to command
    \@reWidthToTargetWidth{%
        \marginalsimplexIMPL[#1]}{%
        \marginalsimplexIMPL[#1,no content]}{%
        \marginalsimplexkey{width}}%
    \@setdefaultmarginalsimplexkey%
}

\DeclareRobustCommand{\marginalsimplexIMPL}[1][]{%
    \begin{tikzpicture}[
        /pgfplots/y=\@setWidth,
        /pgfplots/x=\@setWidth
    ]%
        \begin{axis}[
            anchor=origin,
            axis y line=middle,
            axis x line=middle,
            axis line style={-},
            xmin=-0.0, xmax=+1.0,
            ymin=-0.0, ymax=+1.0,
            xmajorticks=false,
            ymajorticks=false,
            xtick={0.0,+1.0},
            ytick={0.0,+1.0},
            xlabel = {\marginalsimplexkey{column player label}},
            ylabel = {\marginalsimplexkey{row player label}},
            x label style={at={(axis description cs:0.5,-0.0)},anchor=north},
            y label style={at={(axis description cs:-0.0,.5)},rotate=90,anchor=south},
            xmajorgrids=true,
            ymajorgrids=true,
            scaled ticks=false,
            xtick style={black},
            ytick style={black},
            grid style={%
                solid,%
                black,%
            },
            axis on top,
            after end axis/.code={
                \path (axis cs:0,0) 
                    node [anchor=east] {\marginalsimplexkey{row player second strategy label}}
                    node [anchor=north] {\marginalsimplexkey{column player second strategy label}};
                \path (axis cs:0,1) 
                    node [anchor=east] {\marginalsimplexkey{row player first strategy label}};
                \path (axis cs:1,0) 
                    node [anchor=north] {\marginalsimplexkey{column player first strategy label}};
            },
            view={0}{90},
        ]
            \tikzset{marginalsimplex,#1}
            \ifnocontent \else 
                \ifthenelse{\equal{\marginalsimplexkey{quiver}}{}}{}{%
                    % First (Row) player is y[j], v[j,:]
                    % Second (Column) player is x[j], u[:,i]
                    % u and v are indexed [y,x]
                    \addplot[
                        quiver={
                            u=\thisrow{u},
                            v=\thisrow{v},
                            w=1,% 3 looked strange...
                            scale arrows=\marginalsimplexkey{quiver scale arrows},
                        },
                        -stealth,
                        black,
                    ] table {\marginalsimplexkey{quiver}};
                }
                \ifthenelse{\equal{\marginalsimplexkey{heatmap}}{}}{}{%
                    \addplot[
                        matrix plot*,%
                        point meta=explicit,%
                    ] file[]{\marginalsimplexkey{heatmap}};
                }
                \ifthenelse{\equal{\marginalsimplexkey{points}}{}}{}{%
                    \addplot[%
                        scatter,%
                        only marks,%
                        mark size=0.1em,%
                        scatter src=explicit,%
                        scatter/use mapped color={draw opacity=0,fill=mapped color},%
                    ] table[x=x,y=y,meta=c]{\marginalsimplexkey{points}};
                }
            \fi
        \end{axis}%
    \end{tikzpicture}%
}

\newif\ifdebugname
\newif\ifdebugaxes
\newif\ifdebugcamera
\newif\ifnoequilibria
\newcommand{\@setdefaultpolytopekey}{%
    \tikzset{
        polytope/.is family,
        polytope,
        width/.initial=\linewidth,
        ne color/.initial=blue,
        ce color/.initial=purple,
        row player first strategy label/.initial={\scriptsize A},%
        row player second strategy label/.initial={\scriptsize B},%
        column player first strategy label/.initial={\scriptsize A},%
        column player second strategy label/.initial={\scriptsize B},%
        rotate x/.initial=60,%
        rotate z/.initial=35,%
        debug name/.is if=debugname,%
        debug axes/.is if=debugaxes,%
        debug camera/.is if=debugcamera,%
        no equilibria/.is if=noequilibria,%
        segments/.initial=6,%
    }%
}
\@setdefaultpolytopekey
\newcommand{\@polytopekey}[1]{\pgfkeysvalueof{/tikz/polytope/#1}}


\pgfmxfpdeclarefunction{barytocartx}{4}{
    {(#1 * -0.5) + (#2 * 0.5) + (#3 * 0) + (#4 * 0)}
}
\pgfmxfpdeclarefunction{barytocarty}{4}{
    {(#1 * -sqrt(3)/6) + (#2 * -sqrt(3)/6) + (#3 * sqrt(3)/3) + (#4 * 0)}
}
\pgfmxfpdeclarefunction{barytocartz}{4}{
    {(#1 * -sqrt(6)/12) + (#2 * -sqrt(6)/12) + (#3 * -sqrt(6)/12) + (#4 * sqrt(6)/4)}
}

\DeclareRobustCommand{\polytope}[9][]{%
    \tikzset{polytope,#1}%
    \@reScaleToTargetWidth{%
        \polytopeIMPL[#1]{#2}{#3}{#4}{#5}{#6}{#7}{#8}{#9}}{%
        \polytopeIMPL[#1,no equilibria]{#2}{#3}{#4}{#5}{#6}{#7}{#8}{#9}}{%
        \@polytopekey{width}}%
    \@setdefaultpolytopekey%
}

\DeclareRobustCommand{\polytopeIMPL}[9][]{%
    \tdplotsetmaincoords{\@polytopekey{rotate x}}{\@polytopekey{rotate z}}%
    \begin{tikzpicture}[
        scale=\@setScale,%
        tdplot_main_coords,%
    ]%
        % Process keys here to allow caching to update.
        \tikzset{polytope,#1}
    
        % Simplex points.
        \pgfmathsetlengthmacro{\ox}{{0.0}}
        \pgfmathsetlengthmacro{\oy}{{0.0}}
        \pgfmathsetlengthmacro{\oz}{{0.0}}
        
        \pgfmathsetlengthmacro{\aax}{{ -0.5}}
        \pgfmathsetlengthmacro{\aay}{{-sqrt(3)/6}}
        \pgfmathsetlengthmacro{\aaz}{{-sqrt(6)/12}}
        
        \pgfmathsetlengthmacro{\abx}{{0.5}}
        \pgfmathsetlengthmacro{\aby}{{-sqrt(3)/6}}
        \pgfmathsetlengthmacro{\abz}{{-sqrt(6)/12}}
        
        \pgfmathsetlengthmacro{\bax}{{0.0}}
        \pgfmathsetlengthmacro{\bay}{{sqrt(3)/3}}
        \pgfmathsetlengthmacro{\baz}{{-sqrt(6)/12}}
        
        \pgfmathsetlengthmacro{\bbx}{{0.0}}
        \pgfmathsetlengthmacro{\bby}{{0.0}}
        \pgfmathsetlengthmacro{\bbz}{{sqrt(6)/4}}

        \@perspectiveline[line width scale=0.4, layer scale=1.1]{\aax}{\aay}{\aaz}{\abx}{\aby}{\abz}
        \@perspectiveline[line width scale=0.4, layer scale=1.1]{\aax}{\aay}{\aaz}{\bax}{\bay}{\baz}
        \@perspectiveline[line width scale=0.4, layer scale=1.1]{\aax}{\aay}{\aaz}{\bbx}{\bby}{\bbz}
        \@perspectiveline[line width scale=0.4, layer scale=1.1]{\abx}{\aby}{\abz}{\bax}{\bay}{\baz}
        \@perspectiveline[line width scale=0.4, layer scale=1.1]{\abx}{\aby}{\abz}{\bbx}{\bby}{\bbz}
        \@perspectiveline[line width scale=0.4, layer scale=1.1]{\bax}{\bay}{\abz}{\bbx}{\bby}{\bbz}
        
        \ifdebugaxes
            \draw[thick,->] (0,0,0) -- (1,0,0) node[anchor=north east]{$x$};
            \draw[thick,->] (0,0,0) -- (0,1,0) node[anchor=north west]{$y$};
            \draw[thick,->] (0,0,0) -- (0,0,1) node[anchor=south]{$z$};
        \else \fi

        \point[%
            color=black,size=0pt,%
            label=\@polytopekey{row player first strategy label}\@polytopekey{column player first strategy label},%
            label position=below,%
        ]{1}{0}{0}{0}
        \point[%
            color=black,size=0pt,%
            label=\@polytopekey{row player first strategy label}\@polytopekey{column player second strategy label},%
        ]{0}{1}{0}{0}
        \point[%
            color=black,size=0pt,%
            label=\@polytopekey{row player second strategy label}\@polytopekey{column player first strategy label},%
        ]{0}{0}{1}{0}
        \point[%
            color=black,size=0pt,%
            label=\@polytopekey{row player second strategy label}\@polytopekey{column player second strategy label},%
        ]{0}{0}{0}{1}
        
        \ifdebugcamera
            \@cameraline{}
        \else \fi
        
        \ifnoequilibria \else 
            \eqpolytope[]{#2}{#3}{#4}{#5}{#6}{#7}{#8}{#9}
        \fi
    \end{tikzpicture}%
}

% REMOVE ME?
\newcommand{\@setdefaulteqpolytopekey}{%
    \tikzset{
        eqpolytope/.is family,
        eqpolytope,
    }%
}
\@setdefaulteqpolytopekey
\newcommand{\@eqpolytopekey}[1]{\pgfkeysvalueof{/tikz/eqpolytope/#1}}
\DeclareRobustCommand{\eqpolytope}[9][]{%
    \tikzset{eqpolytope,#1}
    
    % Scale macros.
    \pgfmathsetmacro{\scola}{{abs(#2 - #4)}}  % scale col first, |g_1^{A-B,A}|
    \pgfmathsetmacro{\scolb}{{abs(#3 - #5)}}  % scale col second, |g_1^{A-B,B}|
    \pgfmathsetmacro{\srowa}{{abs(#6 - #7)}}  % scale col first, |g_2^{A,A-B}|
    \pgfmathsetmacro{\srowb}{{abs(#8 - #9)}}  % scale col second, |g_2^{B,A-B}|
    
    \pgfmathsetmacro{\saa}{\srowa * \scola}
    \pgfmathsetmacro{\sab}{\srowa * \scolb}
    \pgfmathsetmacro{\sba}{\srowb * \scola}
    \pgfmathsetmacro{\sbb}{\srowb * \scolb}
    
    % \@setScaling{1.0}{1.0}{1.0}{1.0}  % Default scaling.
    
    \ifthenelse{\lengthtest{#2 pt = #4 pt}}{%#2 = #4
        \ifthenelse{\lengthtest{#3 pt = #5 pt}}{%#3 = #5
            \ifthenelse{\lengthtest{#6 pt = #7 pt}}{%#6 = #7
                \ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
                    % eeee
                    % Zero,Null
                    \ifdebugname
                        \point[label=eeee]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{1}{0}{0}
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{1}{0}
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{0}{1}
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{1}{0}{0}{0}{0}{1}{0}
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{1}{0}{0}{0}{0}{0}{1}
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{1}{0}{0}{0}{0}{1}
                    
                    % NE
                    \def\n{6}
                    \foreach \i in {0,...,\n} {
                        \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1*\i/\n}{0}{1 - 1*\i/\n}{0}{0}{1*\i/\n}{0}{1 - 1*\i/\n}
                        \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1*\i/\n}{1-1*\i/\n}{0}{0}{0}{0}{1*\i/\n}{1-1*\i/\n}
                    }
                }{
                \ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
                    % eeeg
                    \ifdebugname
                        \point[label=eeeg]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{1}{0}{0}{1}{0}{0}{0}
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{1}{0}{1}{0}{0}{0}
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{1}{0}{0}{1}{0}{0}
                    % NE
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{1}{0}{0}{1}{0}{0}{0}
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{1}{0}{1}{0}{0}{0}
                }{%#8 < #9
                    % eeel
                    \ifdebugname
                        \point[label=eeel]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{1}{0}{0}
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{0}{1}{0}{1}{0}{0}
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{0}{1}
                    % NE
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1}{0}{0}{0}{0}{1}{0}{0}
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{0}{1}{0}{1}{0}{0}
                }
                }
            }{
            \ifthenelse{\lengthtest{#6 pt > #7 pt}}{%#6 > #7
                \ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
                    % eege
                    \ifdebugname
                        \point[label=eege]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{1}{0}
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{0}{1}{0}{0}{1}{0}
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{0}{1}
                    % NE
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1}{0}{0}{0}{0}{0}{1}{0}
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{0}{1}{0}{0}{1}{0}
                }{
                \ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
                    % eegg
                    \ifdebugname
                        \point[label=eegg]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{1}{0}
                    % NE
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1}{0}{0}{0}{0}{0}{1}{0}
                }{%#8 < #9
                    % eegl
                    \ifdebugname
                        \point[label={eegl}]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % Scaling.
                    \@setScaling{\srowa}{\srowa}{\srowb}{\srowb}
                    
                    % (C)CE
                    \@setBaryPointsA{1}{0}{0}{0}
                    \@setBaryPointsB{0.5}{0}{0.5}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]

                    \@setBaryPointsA{0.5}{0}{0.5}{0}
                    \@setBaryPointsB{0.0}{0.5}{0.0}{0.5}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]

                    \@setBaryPointsA{0.0}{0.5}{0.0}{0.5}
                    \@setBaryPointsB{0}{0}{0}{1}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]

                    \@setBaryPointsA{1}{0}{0}{0}
                    \@setBaryPointsB{0}{0}{0}{1}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]

                    \@setBaryPointsA{1}{0}{0}{0}
                    \@setBaryPointsB{0}{0.5}{0}{0.5}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]

                    \@setBaryPointsA{0}{0}{0}{1}
                    \@setBaryPointsB{0.5}{0.0}{0.5}{0.0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    
                    % NE
                    \@setBaryPointsA{1}{0}{0}{0}
                    \@setBaryPointsB{0.5}{0}{0.5}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]

                    \@setBaryPointsA{0.5}{0}{0.5}{0}
                    \@setBaryPointsB{0.0}{0.5}{0.0}{0.5}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]

                    \@setBaryPointsA{0.0}{0.5}{0.0}{0.5}
                    \@setBaryPointsB{0}{0}{0}{1}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
                }
                }
            }{%#6 < #7
                \ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
                    % eele
                    \ifdebugname
                        \point[label=eele]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{0}{1}{0}{0}{1}{0}
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{0}{1}{0}{1}{0}{0}
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{1}{0}{0}{1}{0}{0}
                    % NE
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{0}{1}{0}{0}{1}{0}
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{0}{1}{0}{1}{0}{0}
                }{
                \ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
                    % eelg
                    % Horseplay
                    \ifdebugname
                        \point[label=eelg]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    %
                    \@setScaling{\srowa}{\srowa}{\srowb}{\srowb}
                    
                    % (C)CE
                    \@setBaryPointsA{0}{1}{0}{0}
                    \@setBaryPointsB{0}{0.5}{0}{0.5}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]

                    \@setBaryPointsA{0}{0.5}{0}{0.5}
                    \@setBaryPointsB{0.5}{0}{0.5}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]

                    \@setBaryPointsA{0.5}{0}{0.5}{0}
                    \@setBaryPointsB{0}{0}{1}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]

                    \@setBaryPointsA{0}{0.5}{0}{0.5}
                    \@setBaryPointsB{0}{0}{1}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    
                    \@setBaryPointsA{0}{1}{0}{0}
                    \@setBaryPointsB{0.5}{0}{0.5}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    
                    % NE
                    \@setBaryPointsA{0}{1}{0}{0}
                    \@setBaryPointsB{0}{0.5}{0}{0.5}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]

                    \@setBaryPointsA{0}{0.5}{0}{0.5}
                    \@setBaryPointsB{0.5}{0}{0.5}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]

                    \@setBaryPointsA{0.5}{0}{0.5}{0}
                    \@setBaryPointsB{0}{0}{1}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
                }{%#8 < #9
                    % eell
                    % Ignorance.
                    \ifdebugname
                        \point[label=eell]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{1}{0}{0}{0}{0}{0}{1}
                    % NE
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{1}{0}{0}{0}{0}{0}{1}
                }
                }
            }
            }
        }{
        \ifthenelse{\lengthtest{#3 pt > #5 pt}}{%#3 > #5
            \ifthenelse{\lengthtest{#6 pt = #7 pt}}{%#6 = #7
                \ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
                    % egee
                    \ifdebugname
                        \point[label=egee]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{1}{0}{1}{0}{0}{0}
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{1}{0}{0}{1}{0}{0}{0}
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{1}{0}{0}{0}{0}{1}{0}
                    % NE
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{1}{0}{1}{0}{0}{0}
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{1}{0}{0}{1}{0}{0}{0}
                }{
                \ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
                    % egeg
                    \ifdebugname
                        \point[label=egeg]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{1}{0}{0}{1}{0}{0}{0}
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{1}{0}{1}{0}{0}{0}
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{1}{0}{0}{1}{0}{0}
                    % NE
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{1}{0}{0}{1}{0}{0}{0}
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{1}{0}{1}{0}{0}{0}
                }{%#8 < #9
                    % egel
                    % Heist
                    \ifdebugname
                        \point[label=egel]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{1}{0}{0}
                    % NE
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1}{0}{0}{0}{0}{1}{0}{0}
                }
                }
            }{
            \ifthenelse{\lengthtest{#6 pt > #7 pt}}{%#6 > #7
                \ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
                    % egge
                    \ifdebugname
                        \point[label=egge]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{1}{0}
                    % NE
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1}{0}{0}{0}{0}{0}{1}{0}
                }{
                \ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
                    % eggg
                    \ifdebugname
                        \point[label=eggg]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{1}{0}
                    % NE
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1}{0}{0}{0}{0}{0}{1}{0}
                }{%#8 < #9
                    % eggl
                    \ifdebugname
                        \point[label=eggl]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % Scaling.
                    \@setScaling{\srowa}{\srowa}{\srowb}{\srowb}
                    
                    % (C)CE / NE Edges.
                    \@setBaryPointsA{1}{0}{0}{0}
                    \@setBaryPointsB{0.5}{0}{0.5}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
                }
                }
            }{%#6 < #7
                \ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
                    % egle
                    \ifdebugname
                        \point[label=egle]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{1}{0}{0}{0}{0}{1}{0}
                    % NE
                    \point[color=\@polytopekey{ne color},size=3pt]{0}{1}{0}{0}%NE
                    \point[color=\@polytopekey{ne color},size=3pt]{0}{0}{1}{0}%NE
                }{
                \ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
                    % eglg
                    \ifdebugname
                        \point[label=eglg]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % Scaling.
                    \@setScaling{\srowa}{\srowa}{\srowb}{\srowb}
                    
                    % (C)CE
                    \@setBaryPointsA{0}{0}{1}{0}
                    \@setBaryPointsB{0.5}{0}{0.5}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    
                    \@setBaryPointsA{0}{1}{0}{0}
                    \@setBaryPointsB{0}{0}{1}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    
                    \@setBaryPointsA{0.5}{0}{0.5}{0}
                    \@setBaryPointsB{0}{1}{0}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    
                    % NE
                    \@setBaryPointsA{0}{0}{1}{0}
                    \@setBaryPointsB{0.5}{0}{0.5}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
                    
                    \point[color=\@polytopekey{ne color},size=3pt]{0}{1}{0}{0}
                }{%#8 < #9
                    % egll
                    \ifdebugname
                        \point[label=egll]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    \point[color=\@polytopekey{ne color},size=3pt]{0}{1}{0}{0}%NE
                    \point[color=\@polytopekey{ce color},size=2pt]{0}{1}{0}{0}%(C)CE
                }
                }
            }
            }
        }{%#3 < #5
            \ifthenelse{\lengthtest{#6 pt = #7 pt}}{%#6 = #7
                \ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
                    % elee
                    \ifdebugname
                        \point[label=elee]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{1}{0}
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{0}{1}{0}{0}{1}{0}
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{0}{1}
                    % NE
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1}{0}{0}{0}{0}{0}{1}{0}
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{0}{1}{0}{0}{1}{0}
                }{
                \ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
                    % eleg
                    \ifdebugname
                        \point[label=eleg]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{1}{0}
                    % NE
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1}{0}{0}{0}{0}{0}{1}{0}
                }{%#8 < #9
                    % elel
                    \ifdebugname
                        \point[label=elel]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{0}{1}
                    
                    % NE
                    \point[color=\@polytopekey{ne color},size=3pt]{1}{0}{0}{0}
                    \point[color=\@polytopekey{ne color},size=3pt]{0}{0}{0}{1}
                }
                }
            }{
            \ifthenelse{\lengthtest{#6 pt > #7 pt}}{%#6 > #7
                \ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
                    % elge
                    \ifdebugname
                        \point[label=elge]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{1}{0}
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{0}{1}{0}{0}{1}{0}
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{0}{1}
                    % NE
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1}{0}{0}{0}{0}{0}{1}{0}
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{0}{1}{0}{0}{1}{0}
                }{
                \ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
                    % elgg
                    \ifdebugname
                        \point[label=llgg]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{1}{0}
                    % NE
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1}{0}{0}{0}{0}{0}{1}{0}
                }{%#8 < #9
                    % elgl
                    \ifdebugname
                        \point[label=elgl]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % Scaling.
                    \@setScaling{\srowa}{\srowa}{\srowb}{\srowb}
                    
                    % (C)CE / NE Edges.
                    \@setBaryPointsA{1}{0}{0}{0}
                    \@setBaryPointsB{0.5}{0}{0.5}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
                    
                    \@setBaryPointsA{1}{0}{0}{0}
                    \@setBaryPointsB{0}{0}{0}{1}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    
                    \@setBaryPointsA{0.5}{0}{0.5}{0}
                    \@setBaryPointsB{0}{0}{0}{1}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    
                    % NE
                    \point[color=\@polytopekey{ne color},size=3pt]{0}{0}{0}{1}
                }
                }
            }{%#6 < #7
                \ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
                    % elle
                    % Heist.
                    \ifdebugname
                        \point[label=elle]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{1}{0}{0}{0}{0}{1}
                    % NE
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{1}{0}{0}{0}{0}{1}
                }{
                \ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
                    % ellg
                    \ifdebugname
                        \point[label=ellg]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % Scaling.
                    \@setScaling{\srowa}{\srowa}{\srowb}{\srowb}
                    
                    % (C)CE / NE Edges.
                    \@setBaryPointsA{0}{0}{1}{0}
                    \@setBaryPointsB{0}{0.5}{0.5}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
                }{%#8 < #9
                    % elll
                    \ifdebugname
                        \point[label=elll]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    \point[color=\@polytopekey{ne color},size=3pt]{0}{0}{0}{1}%NE
                    \point[color=\@polytopekey{ce color},size=2pt]{0}{0}{0}{1}%(C)CE
                }
                }
            }
            }
        }
        }
    }{
    \ifthenelse{\lengthtest{#2 pt > #4 pt}}{%#2 > #4
        \ifthenelse{\lengthtest{#3 pt = #5 pt}}{%#3 = #5
            \ifthenelse{\lengthtest{#6 pt = #7 pt}}{%#6 = #7
                \ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
                    % geee
                    \ifdebugname
                        \point[label=geee]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{1}{0}{0}
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{0}{1}{0}{1}{0}{0}
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{0}{1}
                    % NE
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1}{0}{0}{0}{0}{1}{0}{0}
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{0}{1}{0}{1}{0}{0}
                }{
                \ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
                    % geeg
                    %Heist.
                    \ifdebugname
                        \point[label=geeg]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{1}{0}{0}
                    % NE
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1}{0}{0}{0}{0}{1}{0}{0}
                }{%#8 < #9
                    % geel
                    \ifdebugname
                        \point[label=geel]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{1}{0}{0}
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{0}{1}{0}{1}{0}{0}
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{0}{1}
                    % NE
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1}{0}{0}{0}{0}{1}{0}{0}
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{0}{1}{0}{1}{0}{0}
                }
                }
            }{
            \ifthenelse{\lengthtest{#6 pt > #7 pt}}{%#6 > #7
                \ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
                    % gege
                    \ifdebugname
                        \point[label=gege]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{0}{1}
                    
                    % NE
                    \point[color=\@polytopekey{ne color},size=3pt]{1}{0}{0}{0}
                    \point[color=\@polytopekey{ne color},size=3pt]{0}{0}{0}{1}
                }{
                \ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
                    % gegg
                    \ifdebugname
                        \point[label=gegg]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    \point[color=\@polytopekey{ne color},size=3pt]{1}{0}{0}{0}%NE
                    \point[color=\@polytopekey{ce color},size=2pt]{1}{0}{0}{0}%(C)CE
                }{%#8 < #9
                    % gegl
                    \ifdebugname
                        \point[label=gegl]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % Scaling.
                    \@setScaling{\srowa}{\srowa}{\srowb}{\srowb}
                    
                    % (C)CE / NE Edges.
                    \@setBaryPointsA{0}{0}{0}{1}
                    \@setBaryPointsB{0}{0.5}{0}{0.5}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
                    
                    \@setBaryPointsA{1}{0}{0}{0}
                    \@setBaryPointsB{0}{0}{0}{1}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    
                    \@setBaryPointsA{0}{0.5}{0}{0.5}
                    \@setBaryPointsB{1}{0}{0}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    
                    % NE
                    \point[color=\@polytopekey{ne color},size=3pt]{1}{0}{0}{0}
                }
                }
            }{%#6 < #7
                \ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
                    % gele
                    % Heist.
                    \ifdebugname
                        \point[label=gele]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{1}{0}{0}{0}{0}{0}{1}
                    % NE
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{1}{0}{0}{0}{0}{0}{1}
                }{
                \ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
                    % gelg
                    \ifdebugname
                        \point[label=gelg]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % Scaling.
                    \@setScaling{\srowa}{\srowa}{\srowb}{\srowb}
                    
                    % (C)CE / NE Edges.
                    \@setBaryPointsA{0}{1}{0}{0}
                    \@setBaryPointsB{0}{0.5}{0}{0.5}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
                }{%#8 < #9
                    % gell
                    % Aidous
                    \ifdebugname
                        \point[label=gell]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{1}{0}{0}{0}{0}{0}{1}
                    % NE
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{1}{0}{0}{0}{0}{0}{1}
                }
                }
            }
            }
        }{
        \ifthenelse{\lengthtest{#3 pt > #5 pt}}{%#3 > #5
            \ifthenelse{\lengthtest{#6 pt = #7 pt}}{%#6 = #7
                \ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
                    % ggee
                    \ifdebugname
                        \point[label=ggee]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{1}{0}{0}
                    % NE
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1}{0}{0}{0}{0}{1}{0}{0}
                }{
                \ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
                    % ggeg
                    % Aidos
                    \ifdebugname
                        \point[label=ggeg]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{1}{0}{0}
                    % NE
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1}{0}{0}{0}{0}{1}{0}{0}
                }{%#8 < #9
                    % ggel
                    % Aidos
                    \ifdebugname
                        \point[label=ggel]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{1}{0}{0}
                    % NE
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1}{0}{0}{0}{0}{1}{0}{0}
                }
                }
            }{
            \ifthenelse{\lengthtest{#6 pt > #7 pt}}{%#6 > #7
                \ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
                    % ggge
                    \ifdebugname
                        \point[label=ggge]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    
                    \point[color=\@polytopekey{ne color},size=3pt]{1}{0}{0}{0}%NE
                    \point[color=\@polytopekey{ce color},size=2pt]{1}{0}{0}{0}%(C)CE
                }{
                \ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
                    % gggg
                    \ifdebugname
                        \point[label=gggg]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    \point[color=\@polytopekey{ne color},size=3pt]{1}{0}{0}{0}%NE
                    \point[color=\@polytopekey{ce color},size=2pt]{1}{0}{0}{0}%(C)CE
                }{%#8 < #9
                    % gggl
                    \ifdebugname
                        \point[label=gggl]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    \point[color=\@polytopekey{ne color},size=3pt]{1}{0}{0}{0}%NE
                    \point[color=\@polytopekey{ce color},size=2pt]{1}{0}{0}{0}%(C)CE
                }
                }
            }{%#6 < #7
                \ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
                    % ggle
                    \ifdebugname
                        \point[label=ggle]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    \point[color=\@polytopekey{ne color},size=3pt]{0}{1}{0}{0}%NE
                    \point[color=\@polytopekey{ce color},size=2pt]{0}{1}{0}{0}%(C)CE
                }{
                \ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
                    % gglg
                    \ifdebugname
                        \point[label=gglg]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    \point[color=\@polytopekey{ne color},size=3pt]{0}{1}{0}{0}%NE
                    \point[color=\@polytopekey{ce color},size=2pt]{0}{1}{0}{0}%(C)CE
                }{%#8 < #9
                    % ggll
                    \ifdebugname
                        \point[label=ggll]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    \point[color=\@polytopekey{ne color},size=3pt]{0}{1}{0}{0}%NE
                    \point[color=\@polytopekey{ce color},size=2pt]{0}{1}{0}{0}%(C)CE
                }
                }
            }
            }
        }{%#3 < #5
            \ifthenelse{\lengthtest{#6 pt = #7 pt}}{%#6 = #7
                \ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
                    % glee
                    \ifdebugname
                        \point[label=glee]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % Scaling.
                    \@setScaling{\scola}{\scolb}{\scola}{\scolb}
                    
                    % (C)CE
                    \@setBaryPointsA{1}{0}{0}{0}
                    \@setBaryPointsB{0.5}{0.5}{0}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]

                    \@setBaryPointsA{0.5}{0.5}{0}{0}
                    \@setBaryPointsB{0}{0}{0.5}{0.5}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]

                    \@setBaryPointsA{0}{0}{0.5}{0.5}
                    \@setBaryPointsB{0}{0}{0}{1}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]

                    \@setBaryPointsA{1}{0}{0}{0}
                    \@setBaryPointsB{0}{0}{0}{1}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]

                    \@setBaryPointsA{1}{0}{0}{0}
                    \@setBaryPointsB{0}{0}{0.5}{0.5}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]

                    \@setBaryPointsA{0}{0}{0}{1}
                    \@setBaryPointsB{0.5}{0.5}{0}{0.0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    
                    % NE
                    \@setBaryPointsA{1}{0}{0}{0}
                    \@setBaryPointsB{0.5}{0.5}{0}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]

                    \@setBaryPointsA{0.5}{0.5}{0}{0}
                    \@setBaryPointsB{0}{0}{0.5}{0.5}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]

                    \@setBaryPointsA{0}{0}{0.5}{0.5}
                    \@setBaryPointsB{0}{0}{0}{1}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
                }{
                \ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
                    % gleg
                    % Hazard.
                    \ifdebugname
                        \point[label=gleg]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % Scaling.
                    \@setScaling{\scola}{\scolb}{\scola}{\scolb}
                    
                    % (C)CE / NE Edges.
                    \@setBaryPointsA{1}{0}{0}{0}
                    \@setBaryPointsB{0.5}{0.5}{0}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
                }{%#8 < #9
                    % glel
                    \ifdebugname
                        \point[label=glel]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % Scaling.
                    \@setScaling{\scola}{\scolb}{\scola}{\scolb}
                    
                    % (C)CE / NE Edges.
                    \@setBaryPointsA{1}{0}{0}{0}
                    \@setBaryPointsB{0.5}{0.5}{0}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
                    
                    \@setBaryPointsA{1}{0}{0}{0}
                    \@setBaryPointsB{0}{0}{0}{1}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    
                    \@setBaryPointsA{0.5}{0.5}{0}{0}
                    \@setBaryPointsB{0}{0}{0}{1}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    
                    % NE
                    \point[color=\@polytopekey{ne color},size=3pt]{0}{0}{0}{1}
                }
                }
            }{
            \ifthenelse{\lengthtest{#6 pt > #7 pt}}{%#6 > #7
                \ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
                    % glge
                    \ifdebugname
                        \point[label=glge]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % Scaling.
                    \@setScaling{\scola}{\scolb}{\scola}{\scolb}
                    
                    % (C)CE / NE Edges.
                    \@setBaryPointsA{0}{0}{0}{1}
                    \@setBaryPointsB{0}{0}{0.5}{0.5}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
                    
                    \@setBaryPointsA{1}{0}{0}{0}
                    \@setBaryPointsB{0}{0}{0}{1}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    
                    \@setBaryPointsA{0}{0}{0.5}{0.5}
                    \@setBaryPointsB{1}{0}{0}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    
                    % NE
                    \point[color=\@polytopekey{ne color},size=3pt]{1}{0}{0}{0}
                }{
                \ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
                    % glgg
                    \ifdebugname
                        \point[label=glgg]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    \point[color=\@polytopekey{ne color},size=3pt]{1}{0}{0}{0}%NE
                    \point[color=\@polytopekey{ce color},size=2pt]{1}{0}{0}{0}%(C)CE
                }{%#8 < #9
                    % glgl
                    % Diagonal Coordination.
                    \ifdebugname
                        \point[label=glgl]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % Scaling.
                    \@setScaling{\saa}{\sab}{\sba}{\sbb}
                    
                    % (C)CE
                    \@setBaryPointsA{0.25}{0.25}{0.25}{0.25}
                    \@setBaryPointsB{1/3}{0}{1/3}{1/3}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]

                    \@setBaryPointsA{0.25}{0.25}{0.25}{0.25}
                    \@setBaryPointsB{1/3}{1/3}{0}{1/3}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]

                    \@setBaryPointsA{0.25}{0.25}{0.25}{0.25}
                    \@setBaryPointsB{1}{0}{0}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]

                    \@setBaryPointsA{0.25}{0.25}{0.25}{0.25}
                    \@setBaryPointsB{0}{0}{0}{1}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]

                    \@setBaryPointsA{1}{0}{0}{0}
                    \@setBaryPointsB{1/3}{1/3}{0}{1/3}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]

                    \@setBaryPointsA{0}{0}{0}{1}
                    \@setBaryPointsB{1/3}{1/3}{0}{1/3}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]

                    \@setBaryPointsA{0}{0}{0}{1}
                    \@setBaryPointsB{1/3}{0}{1/3}{1/3}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]

                    \@setBaryPointsA{1}{0}{0}{0}
                    \@setBaryPointsB{1/3}{0}{1/3}{1/3}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]

                    \@setBaryPointsA{1}{0}{0}{0}
                    \@setBaryPointsB{0}{0}{0}{1}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    
                    % NE
                    \@setBaryPointsA{1}{0}{0}{0}
                    \@scaledPointA[color=\@polytopekey{ne color},size=3pt]
                    \@setBaryPointsA{0}{0}{0}{1}
                    \@scaledPointA[color=\@polytopekey{ne color},size=3pt]
                    \@setBaryPointsA{0.25}{0.25}{0.25}{0.25}
                    \@scaledPointA[color=\@polytopekey{ne color},size=3pt]
                }
                }
            }{%#6 < #7
                \ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
                    % glle
                    \ifdebugname
                        \point[label=glle]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % Scaling.
                    \@setScaling{\scola}{\scolb}{\scola}{\scolb}
                    
                    % (C)CE / NE Edges.
                    \@setBaryPointsA{0}{0}{0}{1}
                    \@setBaryPointsB{0}{0}{0.5}{0.5}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
                }{
                \ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
                    % gllg
                    % Clockwise cycle
                    \ifdebugname
                        \point[label=gllg]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % NE and (C)CE
                    \@setScaling{\saa}{\sab}{\sba}{\sbb}
                    \@setBaryPointsA{0.25}{0.25}{0.25}{0.25}
                    \@scaledPointA[color=\@polytopekey{ne color},size=3pt]
                    \@scaledPointA[color=\@polytopekey{ce color},size=2pt]
                }{%#8 < #9
                    % glll
                    \ifdebugname
                        \point[label=glll]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    \point[color=\@polytopekey{ne color},size=3pt]{0}{0}{0}{1}%NE
                    \point[color=\@polytopekey{ce color},size=2pt]{0}{0}{0}{1}%(C)CE
                }
                }
            }
            }
        }
        }
    }{%#2 < #4
        \ifthenelse{\lengthtest{#3 pt = #5 pt}}{%#3 = #5
            \ifthenelse{\lengthtest{#6 pt = #7 pt}}{%#6 = #7
                \ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
                    % leee
                    \ifdebugname
                        \point[label=leee]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{0}{1}{0}{1}{0}{0}
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{0}{1}{0}{0}{1}{0}
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{1}{0}{0}{0}{0}{1}{0}
                    % NE
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{0}{1}{0}{1}{0}{0}
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{0}{1}{0}{0}{1}{0}
                }{
                \ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
                    % leeg
                    \ifdebugname
                        \point[label=leeg]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{1}{0}{0}{0}{0}{1}{0}
                    % NE
                    \point[color=\@polytopekey{ne color},size=3pt]{0}{1}{0}{0}%NE
                    \point[color=\@polytopekey{ne color},size=3pt]{0}{0}{1}{0}%NE
                }{%#8 < #9
                    % leel
                    % Heist
                    \ifdebugname
                        \point[label=leel]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{1}{0}{0}{0}{0}{0}{1}
                    % NE
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{1}{0}{0}{0}{0}{0}{1}
                }
                }
            }{
            \ifthenelse{\lengthtest{#6 pt > #7 pt}}{%#6 > #7
                \ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
                    % lege
                    % Heist
                    \ifdebugname
                        \point[label=lege]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{1}{0}{0}{0}{0}{1}
                    % NE
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{1}{0}{0}{0}{0}{1}
                }{
                \ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
                    % legg
                    \ifdebugname
                        \point[label=legg]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    \point[color=\@polytopekey{ne color},size=3pt]{0}{0}{1}{0}%NE
                    \point[color=\@polytopekey{ce color},size=2pt]{0}{0}{1}{0}%(C)CE
                }{%#8 < #9
                    % legl
                    \ifdebugname
                        \point[label=legl]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % Scaling.
                    \@setScaling{\srowa}{\srowa}{\srowb}{\srowb}
                    
                    % (C)CE / NE Edges.
                    \@setBaryPointsA{0}{0}{0}{1}
                    \@setBaryPointsB{0}{0.5}{0}{0.5}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
                }
                }
            }{%#6 < #7
                \ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
                    % lele
                    \ifdebugname
                        \point[label=lele]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{0}{1}{0}{1}{0}{0}
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{0}{1}{0}{0}{1}{0}
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{1}{0}{0}{0}{0}{1}{0}
                    % NE
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{0}{1}{0}{1}{0}{0}
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{0}{1}{0}{0}{1}{0}
                }{
                \ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
                    % lelg
                    \ifdebugname
                        \point[label=lelg]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % Scaling.
                    \@setScaling{\srowa}{\srowa}{\srowb}{\srowb}
                    
                    % (C)CE
                    \@setBaryPointsA{0}{0}{1}{0}
                    \@setBaryPointsB{0}{0.5}{0}{0.5}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    
                    \@setBaryPointsA{0}{1}{0}{0}
                    \@setBaryPointsB{0}{0}{1}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    
                    \@setBaryPointsA{0}{0.5}{0}{0.5}
                    \@setBaryPointsB{0}{1}{0}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    
                    % NE
                    \@setBaryPointsA{0}{1}{0}{0}
                    \@setBaryPointsB{0}{0.5}{0}{0.5}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
                    
                    \point[color=\@polytopekey{ne color},size=3pt]{0}{0}{1}{0}
                }{%#8 < #9
                    % lell
                    % Aidos
                    \ifdebugname
                        \point[label=lell]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{1}{0}{0}{0}{0}{0}{1}
                    % NE
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{1}{0}{0}{0}{0}{0}{1}
                }
                }
            }
            }
        }{
        \ifthenelse{\lengthtest{#3 pt > #5 pt}}{%#3 > #5
            \ifthenelse{\lengthtest{#6 pt = #7 pt}}{%#6 = #7
                \ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
                    % lgee
                    % Horseplay
                    \ifdebugname
                        \point[label=lgee]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % Scaling.
                    \@setScaling{\scola}{\scolb}{\scola}{\scolb}
                    
                    % (C)CE
                    \@setBaryPointsA{0}{0}{1}{0}
                    \@setBaryPointsB{0}{0}{0.5}{0.5}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]

                    \@setBaryPointsA{0}{0}{0.5}{0.5}
                    \@setBaryPointsB{0.5}{0.5}{0}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]

                    \@setBaryPointsA{0.5}{0.5}{0}{0}
                    \@setBaryPointsB{0}{1}{0}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]

                    \@setBaryPointsA{0}{0}{0.5}{0.5}
                    \@setBaryPointsB{0}{1}{0}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    
                    \@setBaryPointsA{0}{0}{1}{0}
                    \@setBaryPointsB{0.5}{0.5}{0}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    
                    % NE
                    \@setBaryPointsA{0}{0}{1}{0}
                    \@setBaryPointsB{0}{0}{0.5}{0.5}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]

                    \@setBaryPointsA{0}{0}{0.5}{0.5}
                    \@setBaryPointsB{0.5}{0.5}{0}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]

                    \@setBaryPointsA{0.5}{0.5}{0}{0}
                    \@setBaryPointsB{0}{1}{0}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
                }{
                \ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
                    % lgeg
                    \ifdebugname
                        \point[label=lgeg]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % Scaling.
                    \@setScaling{\scola}{\scolb}{\scola}{\scolb}
                    
                    % (C)CE
                    \@setBaryPointsA{0}{1}{0}{0}
                    \@setBaryPointsB{0.5}{0.5}{0}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    
                    \@setBaryPointsA{0}{1}{0}{0}
                    \@setBaryPointsB{0}{0}{1}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    
                    \@setBaryPointsA{0.5}{.5}{0}{0}
                    \@setBaryPointsB{0}{0}{1}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    
                    % NE
                    \@setBaryPointsA{0}{1}{0}{0}
                    \@setBaryPointsB{0.5}{0.5}{0}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
                    
                    \point[color=\@polytopekey{ne color},size=3pt]{0}{0}{1}{0}
                    
                }{%#8 < #9
                    % lgel
                    \ifdebugname
                        \point[label=lgel]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % Scaling.
                    \@setScaling{\scola}{\scolb}{\scola}{\scolb}
                    
                    % (C)CE / NE Edges.
                    \@setBaryPointsA{0}{1}{0}{0}
                    \@setBaryPointsB{0.5}{0.5}{0}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
                }
                }
            }{
            \ifthenelse{\lengthtest{#6 pt > #7 pt}}{%#6 > #7
                \ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
                    % lgge
                    \ifdebugname
                        \point[label=lgge]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % Scaling.
                    \@setScaling{\scola}{\scolb}{\scola}{\scolb}
                    
                    % (C)CE / NE Edges.
                    \@setBaryPointsA{0}{0}{1}{0}
                    \@setBaryPointsB{0}{0}{0.5}{0.5}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
                }{
                \ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
                    % lggg
                    \ifdebugname
                        \point[label=lggg]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    \point[color=\@polytopekey{ne color},size=3pt]{0}{0}{1}{0}%NE
                    \point[color=\@polytopekey{ce color},size=2pt]{0}{0}{1}{0}%(C)CE
                }{%#8 < #9
                    % lggl
                    % Anti-clockwise Cycle.
                    \ifdebugname
                        \point[label=lggl]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % NE
                    \@setScaling{\saa}{\sab}{\sba}{\sbb}
                    \@setBaryPointsA{0.25}{0.25}{0.25}{0.25}
                    \@scaledPointA[color=\@polytopekey{ne color},size=3pt]
                    \@scaledPointA[color=\@polytopekey{ce color},size=2pt]
                }
                }
            }{%#3 < #5
                \ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
                    % lgle
                    \ifdebugname
                        \point[label=lgle]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % Scaling.
                    \@setScaling{\scola}{\scolb}{\scola}{\scolb}
                    
                    % (C)CE
                    \@setBaryPointsA{0}{1}{0}{0}
                    \@setBaryPointsB{0}{0}{0.5}{0.5}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    
                    \@setBaryPointsA{0}{1}{0}{0}
                    \@setBaryPointsB{0}{0}{1}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    
                    \@setBaryPointsA{0}{0}{0.5}{0.5}
                    \@setBaryPointsB{0}{0}{1}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    
                    % NE
                    \@setBaryPointsA{0}{0}{1}{0}
                    \@setBaryPointsB{0}{0}{0.5}{0.5}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
                    
                    \point[color=\@polytopekey{ne color},size=3pt]{0}{1}{0}{0}
                }{
                \ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
                    % lglg
                    % Off-Diagonal Coordination.
                    \ifdebugname
                        \point[label=lglg]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % Scaling.
                    \@setScaling{\saa}{\sab}{\sba}{\sbb}
                    
                    % (C)CE
                    \@setBaryPointsA{0.25}{0.25}{0.25}{0.25}
                    \@setBaryPointsB{0}{1/3}{1/3}{1/3}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]

                    \@setBaryPointsA{0.25}{0.25}{0.25}{0.25}
                    \@setBaryPointsB{1/3}{1/3}{1/3}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]

                    \@setBaryPointsA{0.25}{0.25}{0.25}{0.25}
                    \@setBaryPointsB{0}{1}{0}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]

                    \@setBaryPointsA{0.25}{0.25}{0.25}{0.25}
                    \@setBaryPointsB{0}{0}{1}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]

                    \@setBaryPointsA{0}{1}{0}{0}
                    \@setBaryPointsB{1/3}{1/3}{1/3}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]

                    \@setBaryPointsA{0}{0}{1}{0}
                    \@setBaryPointsB{1/3}{1/3}{1/3}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]

                    \@setBaryPointsA{0}{0}{1}{0}
                    \@setBaryPointsB{0}{1/3}{1/3}{1/3}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]

                    \@setBaryPointsA{0}{1}{0}{0}
                    \@setBaryPointsB{0}{1/3}{1/3}{1/3}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]

                    \@setBaryPointsA{0}{1}{0}{0}
                    \@setBaryPointsB{0}{0}{1}{0}
                    \@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
                    
                    % NE
                    \@setBaryPointsA{0}{1}{0}{0}
                    \@scaledPointA[color=\@polytopekey{ne color},size=3pt]
                    
                    \@setBaryPointsA{0}{0}{1}{0}
                    \@scaledPointA[color=\@polytopekey{ne color},size=3pt]
                    
                    \@setBaryPointsA{0.25}{0.25}{0.25}{0.25}
                    \@scaledPointA[color=\@polytopekey{ne color},size=3pt]
                }{%#8 < #9
                    % lgll
                    \ifdebugname
                        \point[label=lgll]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    \point[color=\@polytopekey{ne color},size=3pt]{0}{1}{0}{0}%NE
                    \point[color=\@polytopekey{ce color},size=2pt]{0}{1}{0}{0}%(C)CE
                }
                }
            }
            }
        }{%#3 < #5
            \ifthenelse{\lengthtest{#6 pt = #7 pt}}{%#6 = #7
                \ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
                    % llee
                    % Ignorance.
                    \ifdebugname
                        \point[label=llee]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{1}{0}{0}{0}{0}{1}
                    % NE
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{1}{0}{0}{0}{0}{1}
                }{
                \ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
                    % lleg
                    \ifdebugname
                        \point[label=lleg]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    \point[color=\@polytopekey{ne color},size=3pt]{0}{0}{1}{0}%NE
                    \point[color=\@polytopekey{ce color},size=2pt]{0}{0}{1}{0}%(C)CE
                }{%#8 < #9
                    % llel
                    \ifdebugname
                    \point[label=llel]{0.333}{0.333}{0.333}{0.333}
                    
                    \point[color=\@polytopekey{ne color},size=3pt]{0}{0}{0}{1}%NE
                    \point[color=\@polytopekey{ce color},size=2pt]{0}{0}{0}{1}%(C)CE
                }
                }
            }{
            \ifthenelse{\lengthtest{#6 pt > #7 pt}}{%#6 > #7
                \ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
                    % llge
                    % Aidos.
                    \ifdebugname
                        \point[label=llge]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{1}{0}{0}{0}{0}{1}
                    % NE
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{1}{0}{0}{0}{0}{1}
                }{
                \ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
                    % llgg
                    \ifdebugname
                        \point[label=llgg]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    \point[color=\@polytopekey{ne color},size=3pt]{0}{0}{1}{0}%NE
                    \point[color=\@polytopekey{ce color},size=2pt]{0}{0}{1}{0}%(C)CE
                }{%#8 < #9
                    % llgl
                    \ifdebugname
                        \point[label=llgl]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    \point[color=\@polytopekey{ne color},size=3pt]{0}{0}{0}{1}%NE
                    \point[color=\@polytopekey{ce color},size=2pt]{0}{0}{0}{1}%(C)CE
                }
                }
            }{%#6 < #7
                \ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
                    % llle
                    % Aidos.
                    \ifdebugname
                        \point[label=llle]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    % (C)CE
                    \@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{1}{0}{0}{0}{0}{1}
                    % NE
                    \@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{1}{0}{0}{0}{0}{1}
                }{
                \ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
                    % lllg
                    \ifdebugname
                        \point[label=lllg]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    \point[color=\@polytopekey{ne color},size=3pt]{0}{0}{1}{0}%NE
                    \point[color=\@polytopekey{ce color},size=2pt]{0}{0}{1}{0}%(C)CE
                }{%#8 < #9
                    % llll
                    \ifdebugname
                        \point[label=llll]{0.333}{0.333}{0.333}{0.333}
                    \else \fi
                    
                    
                    \point[color=\@polytopekey{ne color},size=3pt]{0}{0}{0}{1}%NE
                    \point[color=\@polytopekey{ce color},size=2pt]{0}{0}{0}{1}%(C)CE
                }
                }
            }
            }
        }
        }
    }
    }
}

% Layers.
\pgfdeclarelayer{layer0}
\pgfdeclarelayer{layer1}
\pgfdeclarelayer{layer2}
\pgfdeclarelayer{layer3}
\pgfdeclarelayer{layer4}
\pgfdeclarelayer{layer5}
\pgfdeclarelayer{layer6}
\pgfdeclarelayer{layer7}
\pgfdeclarelayer{layer8}
\pgfdeclarelayer{layer9}
\pgfdeclarelayer{layer10}
\pgfdeclarelayer{layer11}
\pgfdeclarelayer{layer12}
\pgfdeclarelayer{layer13}
\pgfdeclarelayer{layer14}
\pgfdeclarelayer{layer15}
\pgfdeclarelayer{layer16}
\pgfdeclarelayer{layer17}
\pgfdeclarelayer{layer18}
\pgfdeclarelayer{layer19}
\pgfdeclarelayer{layer20}
\pgfdeclarelayer{layer21}
\pgfdeclarelayer{layer22}
\pgfdeclarelayer{layer23}
\pgfdeclarelayer{layer24}
\pgfdeclarelayer{layer25}
\pgfdeclarelayer{layer26}
\pgfdeclarelayer{layer27}
\pgfdeclarelayer{layer28}
\pgfdeclarelayer{layer29}
\pgfdeclarelayer{layer30}
\pgfdeclarelayer{layer31}
\pgfdeclarelayer{layer32}
\pgfdeclarelayer{layer33}
\pgfdeclarelayer{layer34}
\pgfdeclarelayer{layer35}
\pgfdeclarelayer{layer36}
\pgfdeclarelayer{layer37}
\pgfdeclarelayer{layer38}
\pgfdeclarelayer{layer39}
\pgfdeclarelayer{layer40}
\pgfdeclarelayer{layer41}
\pgfdeclarelayer{layer42}
\pgfdeclarelayer{layer43}
\pgfdeclarelayer{layer44}
\pgfdeclarelayer{layer45}
\pgfdeclarelayer{layer46}
\pgfdeclarelayer{layer47}
\pgfdeclarelayer{layer48}
\pgfdeclarelayer{layer49}
\pgfsetlayers{
layer49,%
layer48,%
layer47,%
layer46,%
layer45,%
layer44,%
layer43,%
layer42,%
layer41,%
layer40,%
layer39,%
layer38,%
layer37,%
layer36,%
layer35,%
layer34,%
layer33,%
layer32,%
layer31,%
layer30,%
layer29,%
layer28,%
layer27,%
layer26,%
layer25,%
layer24,%
layer23,%
layer22,%
layer21,%
layer20,%
layer19,%
layer18,%
layer17,%
layer16,%
layer15,%
layer14,%
layer13,%
layer12,%
layer11,%
layer10,%
layer9,%
layer8,%
layer7,%
layer6,%
layer5,%
layer4,%
layer3,%
layer2,%
layer1,%
layer0,%
main}  % Must include main.

\DeclareRobustCommand{\@setScaling}[5][]{%
    \pgfmathsetmacro{\saa}{#2}
    \pgfmathsetmacro{\sab}{#3}
    \pgfmathsetmacro{\sba}{#4}
    \pgfmathsetmacro{\sbb}{#5}
}

\DeclareRobustCommand{\@setBaryPointsA}[5][]{%
    % Scale the probabilities.
    \pgfmathsetmacro{\aspaa}{#2 / \saa}
    \pgfmathsetmacro{\aspab}{#3 / \sab}
    \pgfmathsetmacro{\aspba}{#4 / \sba}
    \pgfmathsetmacro{\aspbb}{#5 / \sbb}
    % Normalize the probabilities.
    \pgfmathsetmacro{\apaa}{\aspaa / (\aspaa + \aspab + \aspba + \aspbb)}
    \pgfmathsetmacro{\apab}{\aspab / (\aspaa + \aspab + \aspba + \aspbb)}
    \pgfmathsetmacro{\apba}{\aspba / (\aspaa + \aspab + \aspba + \aspbb)}
    \pgfmathsetmacro{\apbb}{\aspbb / (\aspaa + \aspab + \aspba + \aspbb)}
    % Find Cartesian.
    \pgfmathsetlengthmacro{\xa}{{barytocartx(\apaa,\apab,\apba,\apbb)}}
    \pgfmathsetlengthmacro{\ya}{{barytocarty(\apaa,\apab,\apba,\apbb)}}
    \pgfmathsetlengthmacro{\za}{{barytocartz(\apaa,\apab,\apba,\apbb)}}
}

\DeclareRobustCommand{\@setBaryPointsB}[5][]{%
    % Scale the probabilities.
    \pgfmathsetmacro{\bspaa}{#2 / \saa}
    \pgfmathsetmacro{\bspab}{#3 / \sab}
    \pgfmathsetmacro{\bspba}{#4 / \sba}
    \pgfmathsetmacro{\bspbb}{#5 / \sbb}
    % Normalize the probabilities.
    \pgfmathsetmacro{\bpaa}{\bspaa / (\bspaa + \bspab + \bspba + \bspbb)}
    \pgfmathsetmacro{\bpab}{\bspab / (\bspaa + \bspab + \bspba + \bspbb)}
    \pgfmathsetmacro{\bpba}{\bspba / (\bspaa + \bspab + \bspba + \bspbb)}
    \pgfmathsetmacro{\bpbb}{\bspbb / (\bspaa + \bspab + \bspba + \bspbb)}
    % Find Cartesian.
    \pgfmathsetlengthmacro{\xb}{{barytocartx(\bpaa,\bpab,\bpba,\bpbb)}}
    \pgfmathsetlengthmacro{\yb}{{barytocarty(\bpaa,\bpab,\bpba,\bpbb)}}
    \pgfmathsetlengthmacro{\zb}{{barytocartz(\bpaa,\bpab,\bpba,\bpbb)}}
}

\newcommand{\@setdefaultpointkey}{%
    \tikzset{
        point/.is family,
        point,
        color/.initial=black,
        label/.initial=,
        label position/.initial=right,
        size/.initial=2pt,
    }%
}
\@setdefaultpointkey
\newcommand{\@pointkey}[1]{\pgfkeysvalueof{/tikz/point/#1}}

\DeclareRobustCommand{\point}[5][1]{%
    % Process keys.
    \@setdefaultpointkey
    \tikzset{point,#1}
    % Find Cartesian.
    \pgfmathsetlengthmacro{\x}{{barytocartx(#2,#3,#4,#5)}}
    \pgfmathsetlengthmacro{\y}{{barytocarty(#2,#3,#4,#5)}}
    \pgfmathsetlengthmacro{\z}{{barytocartz(#2,#3,#4,#5)}}
    % Draw node.
    \node[circle,fill=\@pointkey{color},inner sep=0pt,minimum size=\@pointkey{size},label=\@pointkey{label position}:{\@pointkey{label}}] at (\x,\y,\z) {};
}

\DeclareRobustCommand{\@scaledPointA}[1][]{%
    \@setdefaultpointkey%
    \tikzset{point,#1}%
    \node[circle,fill=\@pointkey{color},inner sep=0pt,minimum size=\@pointkey{size},label=right:{\@pointkey{label}}] at (\xa,\ya,\za) {};
}

\newif\ifdebuglayers
\newif\ifdebugcameradistance
\newif\ifdebugshading
\newcommand{\@setdefaultlinekey}{%
    \tikzset{
        line/.is family,
        line,
        color/.initial=black,
        segments/.initial=6,
        line style/.initial=solid,
        layer scale/.initial=1,
        line width scale/.initial=1,
        debug layers/.is if=debuglayers,%
        debug camera distance/.is if=debugcameradistance,%
        debug shading/.is if=debugshading,%
    }%
}
\@setdefaultlinekey
\newcommand{\@linekey}[1]{\pgfkeysvalueof{/tikz/line/#1}}
\DeclareRobustCommand{\@perspectiveline}[7][]{%
    \@setdefaultlinekey
    \tikzset{line,#1}
    \foreach \i [evaluate=\i] in {1,...,\@linekey{segments}} {
        \pgfmathsetlengthmacro{\f}{{(\i - 1)/\@linekey{segments}}}
        \pgfmathsetlengthmacro{\s}{{(\i)/\@linekey{segments}}}
        
        \pgfmathsetlengthmacro{\xb}{{#2*\f+(1-\f)*#5}}
        \pgfmathsetlengthmacro{\yb}{{#3*\f+(1-\f)*#6}}
        \pgfmathsetlengthmacro{\zb}{{#4*\f+(1-\f)*#7}}
        
        \pgfmathsetlengthmacro{\xe}{{#2*\s+(1-\s)*#5}}
        \pgfmathsetlengthmacro{\ye}{{#3*\s+(1-\s)*#6}}
        \pgfmathsetlengthmacro{\ze}{{#4*\s+(1-\s)*#7}}

        \pgfmathsetlengthmacro{\xm}{(\xb + \xe)/2}
        \pgfmathsetlengthmacro{\ym}{(\yb + \ye)/2}
        \pgfmathsetlengthmacro{\zm}{(\zb + \ze)/2}

        \pgfmathsetlengthmacro{\sxm}{\xm * \@linekey{layer scale}}
        \pgfmathsetlengthmacro{\sym}{\ym * \@linekey{layer scale}}
        \pgfmathsetlengthmacro{\szm}{\zm * \@linekey{layer scale}}
        
        % Scaled camera distance for scaled layers.
        \@setcameradistance{\sxm}{\sym}{\szm}{\@polytopekey{rotate x}}{\@polytopekey{rotate z}}{0.8}
        % Magic constant here to scale to integer layers.
        \pgfmathparse{{int(round(50 * \cd - 20))}}
        \edef\layer{\pgfmathresult}
        \edef\layername{layer\layer}
        
        % Real camera distance.
        \@setcameradistance{\xm}{\ym}{\zm}{\@polytopekey{rotate x}}{\@polytopekey{rotate z}}{0.8}
        \pgfmathsetlengthmacro{\lw}{{\@linekey{line width scale}/\cd}}
        
        % Shading magic constants.
        \pgfmathparse{{int(round(120 - 50 * \cd))}}
        \edef\shading{\pgfmathresult}

        % Debug layers.
        \ifdebuglayers
            \filldraw[\@pointkey{color}] (\xm,\ym,\zm) circle (0.0pt) node[anchor=east]{\layer};
        \else \fi
        \ifdebugcameradistance
            \filldraw[\@pointkey{color}] (\xm,\ym,\zm) circle (0.0pt) node[anchor=west]{\cd};
        \else \fi
        \ifdebugshading
            \filldraw[\@pointkey{color}] (\xm,\ym,\zm) circle (0.0pt) node[anchor=west]{\shading};
        \else \fi

        \begin{pgfonlayer}{\layername}
            \draw [{\@linekey{color}!\shading},line width=\lw,\@linekey{line style}] (\xb,\yb,\zb) -- (\xe,\ye,\ze);
        \end{pgfonlayer}
    }
}

\DeclareRobustCommand{\@scaledBaryPerspectiveLineAB}[1][]{%
    \@perspectiveline[#1]{\xa}{\ya}{\za}{\xb}{\yb}{\zb}
}

\DeclareRobustCommand{\@baryperspectiveline}[9][]{%
    \pgfmathsetlengthmacro{\xa}{{barytocartx(#2,#3,#4,#5)}}
    \pgfmathsetlengthmacro{\ya}{{barytocarty(#2,#3,#4,#5)}}
    \pgfmathsetlengthmacro{\za}{{barytocartz(#2,#3,#4,#5)}}
    \pgfmathsetlengthmacro{\xb}{{barytocartx(#6,#7,#8,#9)}}
    \pgfmathsetlengthmacro{\yb}{{barytocarty(#6,#7,#8,#9)}}
    \pgfmathsetlengthmacro{\zb}{{barytocartz(#6,#7,#8,#9)}}
    \@perspectiveline[#1]{\xa}{\ya}{\za}{\xb}{\yb}{\zb}
}

\DeclareRobustCommand{\@cameraline}[0]{%
    \pgfmathsetlengthmacro{\xc}{{sin(\@polytopekey{rotate x}) * sin(\@polytopekey{rotate z})}}
    \pgfmathsetlengthmacro{\yc}{{-sin(\@polytopekey{rotate x}) * cos(\@polytopekey{rotate z})}}
    \pgfmathsetlengthmacro{\zc}{{cos(\@polytopekey{rotate x})}}
    \draw [green] (0,0,0)--(\xc,\yc,\zc);
}

\DeclareRobustCommand{\@setcameradistance}[6]{%
    \pgfmathsetlengthmacro{\xc}{{sin(#4) * sin(#5)}}
    \pgfmathsetlengthmacro{\yc}{{-sin(#4) * cos(#5)}}
    \pgfmathsetlengthmacro{\zc}{{cos(#4)}}
    \pgfmathsetlengthmacro{\cd}{{#6 - (\xc * #1) - (\yc * #2) - (\zc * #3)}}
}

\makeatother