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change param
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@@ -3,20 +3,19 @@ fn = 4;
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number_of_polygons = 10;
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height = 20;
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thickness = 1.5;
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thickness_offset_factor = 1.5;
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spacing = 0.5 * thickness;
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extrude_ratio = 1;
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fidget_polygon(beginning_radius, fn, number_of_polygons, height, thickness, thickness_offset_factor);
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fidget_polygon(beginning_radius, fn, number_of_polygons, height, thickness, spacing, extrude_ratio);
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module fidget_polygon(beginning_radius, fn, n, height, thickness, thickness_offset_factor) {
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module fidget_polygon(beginning_radius, fn, n, height, thickness, spacing, extrude_ratio) {
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theta = 180 / fn;
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thickness_offset = thickness * thickness_offset_factor;
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y = beginning_radius - beginning_radius * cos(theta);
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dr = y / cos(theta) + thickness_offset;
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dr = y / cos(theta) + thickness + spacing;
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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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// 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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@@ -25,10 +24,10 @@ module fidget_polygon(beginning_radius, fn, n, height, thickness, thickness_offs
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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] + thickness_offset) / rs[i - 1]];
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s = [for(i = [1: n]) (rs[i] + thickness + spacing) / rs[i - 1]] * extrude_ratio;
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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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