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refactor: simplify formula

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Justin Lin
2022-05-02 14:48:13 +08:00
parent 7ff012f360
commit 1c2fe403cb
1 changed files with 5 additions and 6 deletions
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11
src/stereographic_extrude.scad
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@@ -12,11 +12,10 @@ module stereographic_extrude(shadow_side_leng, convexity = 1) {
half_side_length = shadow_side_leng / 2;
outer_sphere_r = half_side_length / 3;
denominator = sqrt(4 * outer_sphere_r ^ 2 + 2 * half_side_length ^ 2);
cosa = 2 * outer_sphere_r / denominator;
sina = sqrt(2) * half_side_length / denominator;
x = 2 * outer_sphere_r;
y = sqrt(2) * half_side_length;
inner_sphere_r = outer_sphere_r * sina;
inner_sphere_r = outer_sphere_r * y / norm([x, y]);
intersection() {
translate([0, 0, outer_sphere_r])
@@ -24,9 +23,9 @@ module stereographic_extrude(shadow_side_leng, convexity = 1) {
sphere(outer_sphere_r);
sphere((outer_sphere_r + inner_sphere_r) / 2);
translate([0, 0, outer_sphere_r / 2])
#translate([0, 0, outer_sphere_r / 2])
linear_extrude(outer_sphere_r)
circle(inner_sphere_r * cosa);
circle(inner_sphere_r / 2);
}
linear_extrude(outer_sphere_r * 2, scale = 0.01, convexity = convexity)