Dihedral Tilings of the Sphere by Regular Polygons and Quadrilaterals II: Regular Polygons with High Gonality and Rhombi

2024/03/09 by Ho Man Cheung, Cheung, Ho Man, Hoi Ping Luk +1
Engineering · Materials Science · Mathematics · #05B45 #51M09 #51M20 #52C20 #Advanced Materials and Mechanics #Combinatorics (math.CO) #FOS: Mathematics #Mathematics and Applications #Quasicrystal Structures and Properties

paper · pdf · doi:10.48550/arxiv.2403.07014

openalex publication_date 2024/03/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We classify the dihedral edge-to-edge tilings of the sphere by regular polygons with gonality at least 5 and rhombi.

Related

• Dihedral Tilings of the Sphere by Regular Polygons and Quadrilaterals I: Squares and Rhombi
• Dihedral Tilings of the Sphere by Regular Polygons and Quadrilaterals I: Quadrilaterals with Equal Opposite Edges
• Tiling the Sphere with Regular Polygons
• The Rest of the Tilings of the Sphere by Regular Polygons
• Tilings of the Sphere by Congruent Quadrilaterals or Triangles