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dotSCAD/examples/spiral_polygons/square_pursuit_3d.scad
2022-06-06 13:11:46 +08:00

46 lines
1.1 KiB
OpenSCAD

use <polyline_join.scad>
length = 100;
diff_scale = 0.125;
diameter = 2;
n = 30;
$fn = 6;
module square_pursuit_3d(length, diff_scale, diameter, n) {
function inter_p(p1, p2, leng, d) =
let(
vp = p2 - p1,
u = vp / leng
)
p1 + u * d;
module _square_pursuit_3d(pts, diff_scale, diameter, n) {
if(n != 0) {
vp = pts[1] - pts[0];
leng = norm(vp);
d = leng * diff_scale;
npts = [for(i = [0:3]) inter_p(pts[i], pts[(i + 1) % 4], leng, d)];
polyline_join([each npts, npts[3], npts[0]])
sphere(d = diameter);
_square_pursuit_3d(npts, diff_scale, diameter, n - 1);
}
}
half_length = length / 2;
pts = [
[0, 0, 0],
[length, 0, 0],
[half_length, half_length, sqrt(2) * half_length],
[0, length, 0]
];
polyline_join([each pts, pts[3], pts[0]])
sphere(d = diameter);
_square_pursuit_3d(pts, diff_scale, diameter, n - 1);
}
square_pursuit_3d(length, diff_scale, diameter, n);