Tilings of the Sphere by Edge Congruent Pentagons
Metric Geometry
2013-04-16 v2 Combinatorics
Abstract
We study edge-to-edge tilings of the sphere by edge congruent pentagons, under the assumption that there are tiles with all vertices having degree 3. We develop the technique of neighborhood tilings and apply the technique to completely classify edge congruent earth map tilings.
Keywords
Cite
@article{arxiv.1301.0677,
title = {Tilings of the Sphere by Edge Congruent Pentagons},
author = {Ka Yue Cheuk and Ho Man Cheung and Min Yan},
journal= {arXiv preprint arXiv:1301.0677},
year = {2013}
}
Comments
36 pages, 34 figures