Here’s an idea for a general tiling game. Start with a set of shapes and 2 (or more) people. Each person takes it in turn to place onto a patch of tiling. The winner is the last person to move.
So here’s the puzzle:
Take the Myer’s polyhex tile:
- Find rules to avoid easy draws (for example wandering off in one direction to infinity).
- Find a winning strategy?
I personally have no idea, so this is a challenge problem!
If you have access to a Laser Cutter or other fancy computer device the cut files are on Thingiverse.