sites

====== Voronoi Diagrams ====== Voronoi diagrams are constructed from their sites (given in homogeneous coordinates).


> $VD = new VoronoiPolyhedron(SITES=>[[1,1,1],[1,0,1],[1,-1,1],[1,1,-1],[1,0,-1],[1,-1,-1]]);
> $VD->VISUAL_VORONOI;

sites

Explode

Automatic explosion

Exploding speed

Transparency

depthWrite

Rotation

x-axis

y-axis

z-axis

Rotation speed

Display

Objects

Camera

SVG

Actually, via lifting to the standard paraboloid, Voronoi diagrams are derived from ''%%Polytope%%''. That's why they have ''%%VERTICES%%'', ''%%FACETS%%'', and such.


> print $VD->FACETS;
2 -2 -2 1
1 0 -2 1
2 2 -2 1
2 -2 2 1
1 0 2 1
2 2 2 1
1 0 0 0
> print $VD->VERTICES;
0 0 1 2
0 1 0 2
1 1/2 0 -1
0 -1 0 2
0 0 -1 2
1 -1/2 0 -1