Your link #1 is about the volume of a ball, not the surface area of a sphere. There are hundreds of different ways of segmenting a sphere. Your link #2 a relat

Your link #1 is about the volume of a ball, not the surface area of a sphere. There are hundreds of different ways of segmenting a sphere. Your link #2 a relatively obscure one which is potentially worth evaluating for some uses (e.g. you start with a fine latitude/longitude grid but want to group your data into coarser histogram bins, and you them to have equal area), but is pretty far removed from the mostly hexagonal tilings in the OP. For a summary of some other methods, I recommend Popko’s book Divided Spheres, http://www.dividedspheres.com http://www.dividedspheres.com