I love tiling; I love grids.
@mtechman When I was in grad school, one of the members of our game group was a mathematician. We got to discussing squares vs hexagons for game maps. He suggested octagons, so you'd have even more directions to move.
"But octagons don't tile the plane," we said.
"Oh," he explained, "you have to use hyperbolic space."
@peterdrake I've always loved the hyperbolic ;)
My mother's cousin is a quilter, and I asked her something about a 3D project (tea cozy) and she asked if I wanted to hear the math thinking in her brain. YES! She got degree in chemistry at Trinity College Dublin in early 60's...and still has good math thinking!
I loved math in HS and college, but am now more at the appreciating it stage...