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add spiral_polygon_fidget
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54
examples/spiral_polygons/spiral_polygon_fidget.scad
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54
examples/spiral_polygons/spiral_polygon_fidget.scad
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use <ellipse_extrude.scad>;
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use <util/sum.scad>;
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beginning_radius = 7.5;
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fn = 5;
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number_of_polygons = 10;
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height = 30;
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thickness = 1.5;
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spiral_plate(beginning_radius, fn, number_of_polygons, height);
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module spiral_plate(beginning_radius, fn, n, height) {
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theta = 180 / fn;
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y = beginning_radius - beginning_radius * cos(theta);
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dr = y / cos(theta) + thickness * 1.5;
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pw = pow((beginning_radius + dr) * sin(theta), 2);
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function a(ri, ro, i) = acos((pow(ro, 2) + pow(ri, 2) - pw * pow(0.985, i)) / (2 * ro * ri));
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module drawPolygon(r) {
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circle(r, $fn = fn);
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}
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rs = [for(i = [0: n]) beginning_radius + i * dr];
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//as = [for(i = [1: n]) a(rs[i - 1], rs[i], i) / 2];
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s = [for(i = [1: n]) (rs[i] * 1.2) / rs[i - 1]];
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half_height = height / 2;
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module half() {
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translate([0, 0, -half_height]) {
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linear_extrude(half_height, scale = s[0])
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difference() {
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drawPolygon(beginning_radius);
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drawPolygon(beginning_radius - thickness);
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}
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for(i = [1:n - 1]) {
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//rotate(as[i] * 2)
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linear_extrude(half_height, scale = s[i])
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difference() {
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drawPolygon(rs[i]);
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drawPolygon(rs[i] - thickness);
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}
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}
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}
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}
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half();
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mirror([0, 0, 1])
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half();
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}
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