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math.CO2019
Moduli Spaces of Pentagonal Subdivision Tilings
Jinjin Liang, Erxiao Wang, Min Yan
Pentagonal subdivision gives three families of edge-to-edge tilings of the sphere by congruent pentagons. Each family forms a two dimensional moduli. We describe the moduli in deta…
math.CO2019
Pentagonal Subdivision
Min Yan
We develop a theory of simple pentagonal subdivision of quadrilateral tilings, on orientable as well as non-orientable surfaces. Then we apply the theory to answer questions relate…
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…