Teruhisa Sugimoto

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20152026

most citedConvex Polygons for Aperiodic Tiling

1 citations · 3 across the 17 of their papers we have counts for

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math.MG2015

Exact value of Tammes problem for N=10

Teruhisa Sugimoto, Masaharu Tanemura

Let $C_{i}$ ( $i = 1, \dots, N$ ) be the $i$ -th open spherical cap of angular radius $r$ and let $M_{i}$ be its center under the condition that none of the spherical caps contains…

math.MG2015★ 1 cited

Tiling Problem: Convex Pentagons for Edge-to-Edge Monohedral Tiling and Convex Polygons for Aperiodic Tiling

Teruhisa Sugimoto

We show that convex pentagons that can generate edge-to-edge monohedral tilings of the plane can be classified into exactly eight types. Using these results, it is also proved that…