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Self-Tiling Tile Sets - Futility Closet
These tiles have a remarkable property — by working together, the four can impersonate any one of their number (click to enlarge): The larger versions could then perform the same trick, and so on. Here’s another set: In this set, each of the six pieces is paved by some four of them: By the fathomlessly imaginative Lee Sallows. There’s more in his article “More on Self-Tiling Tile Sets” in last month’s issue of Mathematics Magazine.
Greg Ross