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Has anyone tried adapting traditional games to penrose tilings? I thought chinese checkers might make a good match:
It's a five player game, each player starts with 10 counters, one in each rhombus in their home area. Everyone is trying to get to the circle two steps clockwise (or anticlockwise, doesn't matter as long as everyone goes the same direction!).
You can move from any rhombus to one of the four adjacent rhombuses. Since the rhombuses have parallel sides, jumping is intuitive. As in standard chinese checkers, you can string together as many jumps as you like, over any player's pieces including your own.
When compared to traditional chinese checkers, this has fewer move options - the 'squares' have only four sides instead of six. Also, the entrances to the home areas are very small. But the geometry is quite interesting, so hopefully that makes up for it!
Anyways, hope you guys like it!