TITLE: Wrapped hexagon topology
QUESTION [12 upvotes]: When a square is wrapped at the edges, obtains a torus.
Is it possible to do the same for a hexagon?
What is the
shape/topology of wrapping a hexagon?


Note: I was just reading this https://github.com/aichallenge/aichallenge/wiki/Ants-Problem-Description
and came up with this question.
I'm a physicist.

REPLY [18 votes]: It's still a torus, lol - just with a 180° twist relative to the square-wrapped version:

Image source: http://www.math.cornell.edu/~mec/Winter2009/Victor/part1.htm