Christopher Danielson has the most fabulous tiles (see, which include his spiraling pentagons (aka pentagrins) and the versatiles. And those have the most interesting angles. The pentagrins come from cutting up a decagon into equilateral (but not regular) pentagons, and the versatiles from a dodecagon. So I was wondering about the others and made this. It turns out only 7 to 12 sides are possible with pentagons. These flip when you click them. Solid point moves the tile, open point turns them.