Ideas for naming the triangulations/mappings?

[hcschuetz]

I am currently using the following names:

• "flat" for the triangulation of the octahedron face;
• "geodesic polyhedron" for the central projection of the flat triangulation to the sphere; actually I am only using "octahedral class-I geodesic polyhedra" according to this classification;
• "equispaced geodesics" for the approach from here and here;
• "parallels" for equispaced placing of vertices on equispaced parallels to the equator;
• "sine-based" for normalize((sin(x * 90°), sin(x * 90°), sin(x * 90°)));
• "based on angular barycentric coordinates" for the most uniform placing I have come up with;

Do you have any suggestions for better names? I am particularly unhappy with the latter two names.