This post is about a series of tests that I did by making voronoi cells inside a cube, and altering its faces and cell volume in a grasshopper definition (download).
A voronoi diagram or voronoi tessellation on a 2d plain is obtain by partitioning a plain into region based on the shortest distances of points to a subset of points. The number of points are specified beforehand. A single region is also refereed as cell. A voronoi pattern can be seen on a girafa, on a dragon fly wings and etc.
Voronoi Diagram in 2d Voronoi Diagram in 3d
Here is a basic logic of the voronoi definition
Final image after 3d printing