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You clearly put a lot of work into this, but I think it's hopeless. Difficult geometry compared to regular tilings, huge number of pieces, many of them with difficult or unclear moves. The chances of a human playing this strategically are almost zero.
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Of course, David’s next challenge is to make chess variants for all of the regular polygon tilings. Or, if that’s too ambitious, how about a chess variant for this tiling.
The possibilities are nearly endless...