10 citations · 31 across the 16 of their papers we have counts for
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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…
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…
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…
On Deformed Dodecahedron Tiling
Yohji Akama, Min Yan
There is only one type of tilings of the sphere by congruent pentagons. These tilings are isohedral.
Spherical tilings by congruent quadrangles over pseudo-double wheels (III) - the essential uniqueness in case of convex tiles
Yohji Akama, Yudai Sakano
In [B.Gruenbaum, G.C. Shephard, Spherical tilings with transitivity properties, in: The geometric vein, Springer, New York, 1981, pp. 65-98], they proved "for every spherical norma…
Classification of spherical tilings by congruent quadrangles over pseudo-double wheels (I) -- a special tiling by congruent concave quadrangles
Yohji Akama
Every simple quadrangulation of the sphere is generated by a graph called a pseudo-double wheel with two local expansions (Brinkmann et al. "Generation of simple quadrangulations o…