"[2] In two dimensions, the basic cell for the optimal CVT is a regular hexagon as it is proven to be the most dense packing of circles in 2D Euclidean space.
Its three dimensional equivalent is the rhombic dodecahedral honeycomb, derived from the most dense packing of spheres in 3D Euclidean space.
For example, a grayscale image can be used as a density function to weight the points of a CVT, as a way to create digital stippling.
[4] Many patterns seen in nature are closely approximated by a centroidal Voronoi tessellation.
Examples of this include the Giant's Causeway, the cells of the cornea,[5] and the breeding pits of the male tilapia.