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Harborth's Tiling


HarborthTilesHarborthTiling

A tiling consisting of a rhombus such that 17 rhombuses fit around a point and a second tile in the shape of six rhombuses stuck together. These two tiles can fill the plane in exactly four different ways. Two tiles which tile the plane in n ways can be constructed using a rhombus of a shape such that 6n-7 pack around a point together with a complex piece made by sticking 2n-2 rhombuses together (Wells 1991).


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References

Harborth, H. "Prescribed Numbers of Tiles and Tilings." Math. Gaz. 61, 296-299, 1977.Wells, D. The Penguin Dictionary of Curious and Interesting Geometry. Middlesex, England: Penguin Books, pp. 90-91, 1991.

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Harborth's Tiling

Cite this as:

Weisstein, Eric W. "Harborth's Tiling." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HarborthsTiling.html

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