You have a sphere with an hexagonal grid. How many colours do

>>9038206
It's the same as the plane. Just cut a point out of the sphere

You can't have a purely hexagonal grid on a sphere.

>>9038252
>You can't have a purely hexagonal grid on a sphere.
[citation needed]

>>9038257
https://en.wikipedia.org/wiki/Theorema_Egregium

>>9038252
Ok, how can I know which shapes can be made into a grid on a sphere? I know a cube can be deformed into a sphere, so squares can so long as it is 6 of them. I imagine triangles can too.

>>9038374
So only regular polyhedra I suppose.

>>9038382
You can have a grid of 2+ hexagons as long as you include exactly 12 pentagons.

File: 1486769114457.jpg (128KB, 476x349px) Image search: [Google]

128KB, 476x349px

Why do you fucking autists care if the hexagons are regular hexagons? The question presented is about coloring the hexagons.

Btw the answer is 3. 3 in flat space, 3 in curved space. The plane can be mapped onto a sphere. So the answer is as simple as creating an infinite flat plane with all your hexagons, and then putting them on a Riemann sphere with stereographic projection. This is perfectly possible to do with minimal wonkiness. Although admittedly there will be a singularity at one of the sphere's poles that is every color all at once. But this shouldn't be a problem because that singularity also has zero area so no hexagons actually "border" it.

>>9038435
It's not about the hexagons being regular. It's a question about whether the OP means an infinite grid or a finite grid on a sphere.

An infinite grid is dull, because the answer is obvious, and basically what you said.

A finite grid, however can't be done without introducing a some non-hexagonal shape somewhere. So maybe that's the more interesting question. Which I'm guessing you don't have an answer for.

>>9038206
Two. Have you ever seen a soccerball?