PuzzelMblue2

Puzzle piece image mapped around the Mandelbrot set. Note the double nubbin shape at the inner edge, which shows that this is really a tiling of a hyperbolic space (topologically the dual of the semiregular 4.3.4.3.4 tiling). I think that it can be proven that each piece is unique, and hence one could assemble the (infinite) set of uncolored pieces into R2 minus M in just one way (up to symmetry).

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Uploaded on October 13, 2006