Rep-tiles and the Sphinx
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The shapes called rep-tuiles (rep-tiles in English) can be broken down into an arrangement of n copies of a single piece, for some integer n (such a shape is then called rep-n), with each piece similar to the original shape. These shapes were studied by the mathematician Solomon Golomb, known for his rediscovery of polyominoes. One of the best-known rep-tiles is the Sphinx.
Two rep-2 shapes. By subdividing each piece again, you can make rep-4 shapes, then rep-8, rep-16…
