Tilings of the Sphere by Congruent Pentagons I
Metric Geometry
2018-03-09 v5
Abstract
We show that there are no edge-to-edge tilings of the sphere by congruent pentagons beyond the minimal dodecahedron tiling, such that there is a tile with all vertices having degree 3 and the edge length combinations are three of the five possibilities.
Keywords
Cite
@article{arxiv.1310.2219,
title = {Tilings of the Sphere by Congruent Pentagons I},
author = {Ka Yue Cheuk and Ho Man Cheung and Min Yan},
journal= {arXiv preprint arXiv:1310.2219},
year = {2018}
}
Comments
33 pages, 22 figures