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Tilings of the Sphere by Congruent Pentagons I
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math.MG
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congruentpentagonsspheretheretilingsbeyondcombinationsdegree
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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 degree 3 and the edge length combinations are three of the five possibilities.
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