Harris: Myers Game
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:
Can you:
- 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.
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Krister Jonsson said,
December 9, 2009 at 10:58 am
One rule could be that new tiles have to touch two other tiles, one of which have to be the previous tile played. So the tile played as tile number 5 have to touch tile nr 4 and another tile.
Maybe, just throwing it out there.