> Which means a sphere cannot be divided perfectly into more than 20 sections (the number of faces of the icosahedron)! any division scheme beyond that number is doomed to be imperfect.

Define "perfect". You can divide the sphere into 120 identical triangles, and that's just the most you can get using a Catalan solid. There's no upper limit if you allow general isohedral divisions.

This isn't pure nitpicking. The article talks says "Let’s say we wanted to divide earth into approximately equal pieces of land and give one to every human, what can we do?" and continues with a discussion of approximations. There's no need to approximate.

(When I say a sphere is divided into triangles, I mean that all the vertices are on the sphere.)