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ⓘ Sphinx tiling. In geometry, the sphinx tiling is a tessellation of the plane using the sphinx, a pentagonal hexiamond formed by gluing six equilateral triangles ..



Sphinx tiling
                                     

ⓘ Sphinx tiling

In geometry, the sphinx tiling is a tessellation of the plane using the "sphinx", a pentagonal hexiamond formed by gluing six equilateral triangles together. The resultant shape is named for its reminiscence to the Great Sphinx at Giza. A sphinx can be dissected into any square number of copies of itself, some of them mirror images, and repeating this process leads to a non-periodic tiling of the plane. The sphinx is therefore a rep-tile. It is one of few known pentagonal rep-tiles and is the only known pentagonal rep-tile whose sub-copies are equal in size.

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