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https://github.com/JustinSDK/dotSCAD.git
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57 lines
1.5 KiB
OpenSCAD
57 lines
1.5 KiB
OpenSCAD
use <fibonacci_lattice.scad>;
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use <polyline_join.scad>;
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use <polyhedron_hull.scad>;
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n = 150;
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radius = 12;
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constants = [
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"π3.141592653589793238462643383279502884197169399375105820974944592307816406286",
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"τ6.2831853071795864769252867665590057683943387987502116419498891846156328",
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"φ1.6180339887498948482045868343656381177203091798057628621354486227052604",
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"e2.7182818284590452353602874713526624977572470936999595749669676277240766303535"
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];
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font_name = "Arial Black";
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font_size = 2.5;
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txt_extrude = radius * 0.5;
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txt_scale = 1.5;
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spiral_math_constants(n, radius, constants, font_name, font_size, txt_extrude, txt_scale);
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module spiral_math_constants(n, radius, constants, font_name, font_size, txt_extrude, txt_scale) {
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pts = fibonacci_lattice(n, radius);
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polyhedron_hull(pts * 0.9);
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spirals = [for(j = [0:7])
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[for(i = j; i < len(pts); i = i + 8) pts[i]]
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];
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module constant_on_spiral(constant, spiral) {
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for(i = [0:len(spiral) - 1]) {
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x = spiral[i][0];
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y = spiral[i][1];
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z = spiral[i][2];
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ya = atan2(z, sqrt(x * x + y * y));
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za = atan2(y, x);
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render()
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translate(spiral[i])
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rotate([0, -ya, za])
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rotate([90, 0, -90])
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linear_extrude(txt_extrude, scale = txt_scale)
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mirror([-1, 0, 0])
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text(constant[i], size = font_size, font = font_name, valign = "center", halign = "center");
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}
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}
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for(i = [0:2:6]) {
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constant_on_spiral(constants[i / 2], spirals[i + 1]);
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}
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for(i = [0:2:6]) {
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polyline_join(spirals[i] * 0.9)
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sphere(.5, $fn = 4);
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}
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} |