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

Hoi Ping Luk; Min Yan

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arxiv 1308.4207 v4 pith:DEQWH5UK submitted 2013-08-20 math.MG

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

Hoi Ping Luk , Min Yan This is my paper

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keywords anglesphereedge-to-edgepentagonstilingscongruentmethodtiling

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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.

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

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