most citedTilings of the Sphere by Congruent Pentagons I

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math.MG2013★ 4 cited

Tilings of the Sphere by Congruent Pentagons I

Ka Yue Cheuk, Ho Man Cheung, Min Yan

We show that there are no edge-to-edge tilings of the sphere by congruent pentagons beyond the minimal dodecahedron tiling, such that there is a tile with all vertices having degre…