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;

Explode

Automatic explosion

Exploding speed

Transparency

depthWrite

Rotation

x-axis

y-axis

z-axis

Reset

Rotation speed

Display

Objects

Camera

Perspective
Orthographic

SVG

Download
New tab

Screenshot

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