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math.MG2018
Classification of spherical tilings by congruent quadrangles over pseudo-double wheels (II)
Yohji Akama
We classify all edge-to-edge spherical isohedral 4-gonal tilings such that the skeletons are pseudo-double wheels. For this, we characterize these spherical tilings by a quadratic…
math.MG2018
Hyperbolic polyhedral surfaces with regular faces
Yohji Akama, Bobo Hua
We study hyperbolic polyhedral surfaces with faces isometric to regular hyperbolic polygons satisfying that the total angles at vertices are at least The combinatorial inform…
math.MG2018★ 1 cited
Areas of spherical polyhedral surfaces with regular faces
Yohji Akama, Bobo Hua, Yanhui Su
For a finite planar graph, it associates with some metric spaces, called (regular) spherical polyhedral surfaces, by replacing faces with regular spherical polygons in the unit sph…