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arXiv · 1308.4207

Edge-to-edge Tilings of the Sphere by Angle Congruent Pentagons

Hoi Ping Luk·Min Yan
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Abstract

We develop a systematic method for computing the angle combinations at all vertices in an edge-to-edge tiling of the sphere by pentagons with the same five angles. The method is a useful and necessary step in many tiling problems about pentagonal tilings of the sphere. As an application, we find all edge-to-edge tilings of the sphere by angle congruent pentagons, that allow free and continuous choice of two angle values.

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Hoi Ping Luk, Min Yan. 2013-08-20. Edge-to-edge Tilings of the Sphere by Angle Congruent Pentagons. https://arxiv.org/abs/1308.4207

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