←back to thread

Making Minecraft Spherical

(www.bowerbyte.com)
899 points iamwil | 1 comments | | HN request time: 0.342s | source
Show context
scotty79 ◴[] No.45095466[source]
Why can't you cover spherical surface with quads so that 4 lines meet at every vertex? How would the proof of that look?
replies(1): >>45095787 #
crazygringo ◴[] No.45095787[source]
> 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

replies(1): >>45103774 #
1. ◴[] No.45103774[source]