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math.MG2018
Properties of Convex Pentagonal Tiles for Periodic Tiling
Teruhisa Sugimoto
A convex pentagonal tile is a convex pentagon that admits a monohedral tiling. We show that a convex pentagonal tile that admits a periodic tiling has a property in which the sum o…
math.MG2018
Convex Pentagons with Positive Heesch Number
Teruhisa Sugimoto
We found convex pentagons whose Heesch number is equal to one, and which admit an edge-to-edge corona. In this manuscript, we present a new classification of these convex pentagons…