Abstract
In this article we show the non-existence of a class of spherical tilings by congruent quadrangles. We also prove several forbidden substructures for spherical tilings by congruent quadrangles. These are results that will help to complete of the classification of spherical tilings by congruent quadrangles.
| Original language | English |
|---|---|
| Pages (from-to) | 297-318 |
| Number of pages | 22 |
| Journal | Ars Mathematica Contemporanea |
| Volume | 8 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2015 |
Keywords
- Monohedral tiling
- Quadrangulation
- Spherical tiling by congruent quadrangles
ASJC Scopus subject areas
- Theoretical Computer Science
- Algebra and Number Theory
- Geometry and Topology
- Discrete Mathematics and Combinatorics