Voronoi Diagrams on Three-Dimensional Surfaces
This Demonstration partitions the surface of a cylinder, cone, Möbius strip, sphere, or torus into Voronoi cells based on a set of up to 24 random points (sites) uniformly distributed over the surface.[more]
You can choose from three different distance functions (Euclidean, Manhattan, or chessboard). You can choose the cell colors according to eight color schemes.[less]
The regions are created using Mathematica's built-in function ParametricPlot3D. NearestFunction using the selected DistanceFunction is used as a MeshFunction to partition the regions into Voronoi cells.