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math.CO2018★ 1 cited
Tilings of the Sphere by Congruent Pentagons III: Edge Combination
Yohji Akama, Erxiao Wang, Min Yan
There are exactly eight edge-to-edge tilings of the sphere by congruent equilateral pentagons: three pentagonal subdivision tilings with 12, 24, 60 tiles; four earth map tilings wi…
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…