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3d/voronoi/voronoi.scad
2024-04-13 12:48:55 -04:00

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// (c)2013 Felipe Sanches <juca@members.fsf.org>
// licensed under the terms of the GNU GPL version 3 (or later)
function normalize(v) = v/(sqrt(v[0]*v[0] + v[1]*v[1]));
module voronoi(points, L=200, thickness=1, round=6, nuclei=true){
for (p=points){
difference(){
minkowski(){
intersection_for(p1=points){
if (p!=p1){
translate((p+p1)/2 - normalize(p1-p) * (thickness+round))
assign(angle=90+atan2(p[1]-p1[1], p[0]-p1[0])){
rotate([0,0,angle])
translate([-L,-L])
square([2*L, L]);
}
}
}
circle(r=round, $fn=20);
}
if (nuclei)
translate(p) circle(r=1, $fn=20);
}
}
}
module random_voronoi(n=20, nuclei=true, L=200, thickness=1, round=6, min=0, max=100, seed=42){
x = rands(min, max, n, seed);
y = rands(min, max, n, seed+1);
for (i=[0:n-1]){
difference(){
minkowski(){
intersection_for(j=[0:n-1]){
if (i!=j){
assign(p=[x[i],y[i]], p1=[x[j],y[j]]){
translate((p+p1)/2 - normalize(p1-p) * (thickness+round))
assign(angle=90+atan2(p[1]-p1[1], p[0]-p1[0])){
rotate([0,0,angle])
translate([-L,-L])
square([2*L, L]);
}
}
}
}
circle(r=round, $fn=20);
}
if (nuclei)
translate([x[i],y[i]]) circle(r=1, $fn=20);
}
}
}
// example with an explicit list of points:
// point_set = [[0,0],[30,0],[20,10],[50,20],[15,30],[85,30],[35,30],[12,60], [45,50],[80,80],[20,-40],[-20,20],[-15,10],[-15,50]];
// voronoi(points=point_set, round=4, nuclei=false);
// example with randomly generated set of points
random_voronoi(n=64, round=6, min=0, max=300);