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math.MG2019★ 5 cited
Tilings of the Sphere by Congruent Pentagons II: Edge Combination
Erxiao Wang, Min Yan
There are fifteen edge-to-edge tilings of the sphere by congruent pentagons with the edge combination : five one-parameter families of pentagonal subdivision tilings, and t…
math.MG2018★ 2 cited
Tilings of the Sphere by Congruent Pentagons I: Edge Combinations and
Erxiao Wang, Min Yan
We develop the basic tools for classifying edge-to-edge tilings of the sphere by congruent pentagons. Then we prove that, for the edge combination , such tilings are three…