Tilings of the Sphere by Edge Congruent Pentagons
arXiv:1301.0677
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.
36 pages, 34 figures