Tilings of the Sphere by Congruent Quadrilaterals or Triangles
arXiv:2204.02736
Abstract
We completely classify edge-to-edge tilings of the sphere by congruent quadrilaterals. As part of the classification, we also present a modern version of the classification of edge-to-edge tilings of the sphere by congruent triangles. Together with our series of papers that classifies edge-to-edge tilings of the sphere by congruent pentagons, we complete the classification of edge-to-edge tilings of the sphere by congruent polygons.
135 pages, 76 figures. slight update on the notations and constructions for tilings