Tilings of the sphere by congruent pentagons III: Edge combination a5

Yohji Akama, Erxiao Wang, Min Yan

Research output: Contribution to journalArticlepeer-review

Abstract

There are exactly eight edge-to-edge tilings of the sphere by congruent equilateral pentagons: three pentagonal subdivision tilings with 12, 24, 60 tiles; four earth map tilings with 16, 20, 24, 24 tiles; and one flip modification of the earth map tiling with 20 tiles.

Original languageEnglish
Article number107881
JournalAdvances in Mathematics
DOIs
Publication statusAccepted/In press - 2021

Keywords

  • Classification
  • Pentagon
  • Spherical tiling

ASJC Scopus subject areas

  • Mathematics(all)

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