3 ms·
Is every face a hexagon? I thought to cover a sphere you had to throw in at least a few things that weren't hexagons. Euler and all that.
by adrianratnapala 9y ago
Is every face a hexagon?
I thought to cover a sphere you had to throw in at least a few things that weren't hexagons. Euler and all that.
- rockinghigh 9y agoThere are pentagons: > The first H3 resolution (resolution 0) consists of 122 cells (110 hexagons and 12 icosahedron vertex-centered pentagons), referred to as the base cells. From: https://github.com/uber/h3/blob/9df3940473e2f0446cf38e22443c77c6b3935382/docs/doxyfiles/overview.md https://github.com/uber/h3/blob/9df3940473e2f0446cf38e22443c...
- jacobolus 9y agoIf you are willing to have some pairs of hexagons border each-other along two edges, you can squint and pretend to cover a sphere by hexagons alone. http://archive.bridgesmathart.org/2017/bridges2017-237.pdf http://archive.bridgesmathart.org/2017/bridges2017-237.pdf The way the discrete global grids people handle it (TFA is an implementation of that) is generally to stick 12 pentagonal pixels in their grid at the corners of an icosahedron.