On Deformed Dodecahedron Tiling

2014/03/27 by Yohji Akama, Min Yan, Akama, Yohji +1 · 2 citations
Materials Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #FOS: Mathematics #Mathematics and Applications #Metric Geometry (math.MG) #Quasicrystal Structures and Properties

paper · pdf · doi:10.48550/arxiv.1403.6907

openalex publication_date 2014/03/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Citations

• Tilings of the Sphere by Congruent Pentagons I

Cited by

• Tilings of the Sphere by Congruent Pentagons I: Edge Combinations a²b²c and a³bc
• Tilings of the Sphere by Congruent Quadrilaterals with Exactly Two Equal\n Edges

Related

• Tilings of the Sphere by Congruent Pentagons I
• Tilings of the Sphere by Congruent Pentagons III: Edge Combination a⁵
• Tilings of the Sphere by Congruent Pentagons II: Edge Combination a³b²
• Tilings of the Sphere by Congruent Quadrilaterals or Triangles
• Tilings of the sphere by congruent pentagons V: Edge combination a⁴b with rational angles