Recursive Exercises IV: Rep-Tiles

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If a polyomino can be divided into congruent copies similar to itself, it is called an -reptile. Rep-tiles are self-similar pieces and so can be regarded as fractals. This Demonstration shows three polyominoes that are 4-reptiles: the P-pentomino, the L-triomino, and the sphinx—which is a polyiamond.

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By decreasing opacity, a 3D shape behind shows up; by turning it, you are presented with architectural designs based on these shapes.

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Contributed by: Jaime Rangel-Mondragon (March 2011)
Open content licensed under CC BY-NC-SA


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