I'm interested in even (or "proportional") disrtributions of points on 2D areas. Here is the initial question, but many others ideas appeared later.
Centroidal Voronoi tessellation is well known construction.
But what about equiareal Voronoi tessellation, so areas of all cells are equal?
Using Mathematica there is no problem to find (numerically!) some example.
Is there some general algorythm for equiareal tessellation of plane figures, especially with Voronoi diagrams?