On Deformed Dodecahedron Tiling

Abstract

There is only one type of tilings of the sphere by $12$ congruent pentagons. These tilings are isohedral.

9 pages, 8 figures

References in corpus (3)

• Spherical Tiling by 12 Congruent Pentagons
• Spherical tilings by congruent quadrangles over pseudo-double wheels (III) - the essential uniqueness in case of convex tiles
• Tilings of the Sphere by Congruent Pentagons I

Cited by in corpus (5)

• Tilings of the Sphere by Congruent Pentagons I
• Edge-to-edge Tilings of the Sphere by Angle Congruent Pentagons
• Tilings of the Sphere by Congruent Pentagons I: Edge Combinations $a^2{b}^{2}c$ and $a^{3}bc$
• Tilings of the Sphere by Congruent Quadrilaterals with Exactly Two Equal Edges
• Moduli Spaces of Pentagonal Subdivision Tilings