On: Making Minecraft Spherical

[scotty79]

Why can't you cover spherical surface with quads so that 4 lines meet at every vertex? How would the proof of that look?

[crazygringo → scotty79]

> If you want only quadrilaterals, and you want most vertices to be a meeting between 4 quadrilaterals, but some places 3 quadrilaterals meet, you can use the Euler characteristic to deduce that there must be 8 of these degenerate vertices.

https://math.stackexchange.com/a/4904806