Tetrapentagonal tiling
Tetrapentagonal tiling
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Tetrapentagonal tiling

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Tetrapentagonal tiling

In geometry, the tetrapentagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t1{4,5} or r{4,5}.

A half symmetry [1+,4,5] = [5,5] construction exists, which can be seen as two colors of pentagons. This coloring can be called a rhombipentapentagonal tiling.

The dual tiling is made of rhombic faces and has a face configuration V4.5.4.5:

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