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 language | English |
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Article number | 107881 |
Journal | Advances in Mathematics |
Volume | 394 |
DOIs | |
Publication status | Published - 2022 Jan 22 |
Keywords
- Classification
- Pentagon
- Spherical tiling
ASJC Scopus subject areas
- Mathematics(all)