Add gnomon, reuleaux, theodorus and triangletoy

Author: whosawhatsis

Reuleaux/reuleaux-n-gon.scad

@@ -0,0 +1,31 @@
+// File reuleaux-n-gon.scad
+// Prints out a Reuleaux n-gon and an enclosure for it to roll in
+// (c) 2020 Rich Cameron
+// Released under a CC-BY 4.0 International License
+
+width = 50; // width of the object, in mm
+sides = 3; // must be an odd number (>=3) 
+height = 10; // height in z direction 
+wall = 1; // thickness of vertical walls
+base = .6; // thickness of solid base
+clearance = .2; // clearance between n-gon and enclosure
+
+$fs = .2;
+$fa = 2;
+
+if((sides % 2) != 1 || sides < 3) {
+	echo("Reuleaux polygons must have an odd number of sides.");
+} else {
+	difference() {
+		linear_extrude(height - base) intersection_for(a = [0:360 / sides:359]) rotate(a) translate([width / (sin(180 / sides) / sin(90 / sides)), 0, 0]) circle(width);
+		translate([0, 0, base]) linear_extrude(height) offset(-wall) intersection_for(a = [0:360 / sides:359]) rotate(a) translate([width / (sin(180 / sides) / sin(90 / sides)), 0, 0]) circle(width);
+	}
+	
+	translate([-width - wall * 2 - clearance, 0, 0]) difference() {
+		linear_extrude(height) rotate(180 / (sides + 1)) circle((width / 2 + wall + clearance) / cos(180 / (sides + 1)), $fn = sides + 1);
+		translate([0, 0, base]) linear_extrude(height) offset(-wall) rotate(180 / (sides + 1)) circle((width / 2 + wall + clearance) / cos(180 / (sides + 1)), $fn = sides + 1);
+	}
+	
+	
+	%circle(r = width / (sin(180 / sides) / sin(90 / sides)), $fn = sides);
+}

Triangles/theodorus.scad

@@ -0,0 +1,29 @@
+// theodorus.scad
+// makes a spiral of theodorus
+// (c) 2020, Rich Cameron, licensed Creative Commons CC-BY4.0
+
+max = 53; // number of triangles to be made
+// the last triangle's sides will be sqrt(max), 1 and sqrt(max + 1)
+
+xyscale = 10;
+wall = 1;
+base = 1;
+
+zstep = .2; //should be a multiple of layer height
+
+$fs = .2;
+$fa = 2;
+
+
+function angle(n) = (n > 1) ? asin(1 / sqrt(n)) + angle(n - 1) : 0;
+
+for(i = [1:max]) rotate(angle(i)) linear_extrude(base + (max + 1 - i) * zstep) difference() {
+	offset(wall / 2) polygon(xyscale * [[0, 0], [sqrt(i), 0], [sqrt(i), 1]]);
+	offset(-wall / 2) polygon(xyscale * [[0, 0], [sqrt(i), 0], [sqrt(i), 1]]);
+}
+
+for(i = [1:max]) rotate(angle(i)) linear_extrude(base) difference() {
+	polygon(xyscale * [[0, 0], [sqrt(i), 0], [sqrt(i), 1]]);
+}
+
+echo(angle(max + 1) % 360);

triangle toy.scad Triangles/triangleToy.scadtriangle toy.scad renamed to Triangles/triangleToy.scad

@@ -1,9 +1,12 @@
-length = [50, 170];
+// File TriangleToy.scad
+// Prints out a triangle with swingable sides
+// (c) 2020 Rich Cameron
+// Released under a CC-BY 4.0 International License
+
+length = [50, 170]; // [short side, long sides]
 hole = 12;
 width = 8;
 thick = 2;
-fit = .1;
-
 
 $fs = .2;
 $fa = 2;
@@ -18,7 +21,6 @@ translate([width * 2 + 1, 0, 0]) rotate(180) linear_extrude(thick) difference()
 	for(i = [1, -1]) translate([0, i * length[0] / 2, 0]) circle(hole / 2);
 }
 
-//for(i = [0, 1]) rotate([90, 0, i * 180]) translate([length[0] / 2, width, -thick]) rotate(90 - angles[i]) {
 for(i = [0, 1]) rotate(i * 180) translate([i * (width + 1), -length[1] / 2 + width / 2, 0]) linear_extrude(thick) difference() {
 	union() {
 		circle(width);

gnomon.scad

@@ -0,0 +1,20 @@
+// File gnomon.scad
+// Prints out a gnomon with sun angle marked 
+// Long side goes on the ground, short side is the gnomon 
+// (c) 20019-2020 Rich Cameron
+// Released under a CC-BY 4.0 International License
+
+size = 80; //hieght of the gnomon
+max_angle = 65; //maximum sun angle that can be measured 
+
+rotate([0, -90, 0]) {
+	linear_extrude(size) square(10);
+	mirror([0, 1, 0]) translate([0, -10, -10]) cube([10, size * tan(max_angle) + 10 + 1, 10 - .2]);
+	mirror([0, 0, 1]) linear_extrude(10) difference() {
+		mirror([0, 1, 0]) translate([0, -10, 0]) square([10, size * tan(max_angle) + 10 + 1]);
+		for(i = [10:10:max_angle]) translate([10, -size * tan(i) + 1, 0]) text(str(90 - i), size = 4.5, halign = "right");
+		for(i = [0:10:max_angle]) translate([0, -size * tan(i), 0]) square([10, .2]);
+		for(i = [0:5:max_angle]) translate([0, -size * tan(i), 0]) square([8, .2]);
+		for(i = [0:1:max_angle]) translate([0, -size * tan(i), 0]) square([2, .2]);
+	}
+}