Tilings of the Sphere by Congruent Pentagons II: Edge Combination $a^3b^2$

Erxiao Wang; Min Yan

Tilings of the Sphere by Congruent Pentagons II: Edge Combination $a^3b^2$

Metric Geometry 2021-06-29 v3

Authors: Erxiao Wang , Min Yan

Abstract

There are fifteen edge-to-edge tilings of the sphere by congruent pentagons with the edge combination $a^3b^2$ : five one-parameter families of pentagonal subdivision tilings, and ten flip modifications of three special cases of two pentagonal subdivision tilings.

Keywords

sphere tiling congruent pentagons edge combination pentagonal subdivision flip modification

Cite

@article{arxiv.1903.02712,
  title  = {Tilings of the Sphere by Congruent Pentagons II: Edge Combination $a^3b^2$},
  author = {Erxiao Wang and Min Yan},
  journal= {arXiv preprint arXiv:1903.02712},
  year   = {2021}
}

Comments

81 pages, 43 figures

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