Spherical tilings by congruent quadrangles: Forbidden cases and substructures

Authors

  • Yohji Akama Graduate School of Science, Tohoku University
  • Nico Van Cleemput University Of West Bohemia

DOI:

https://doi.org/10.26493/1855-3974.581.a6a

Keywords:

Spherical tiling by congruent quadrangles, monohedral tiling, quadrangulation.

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.

Author Biographies

Yohji Akama, Graduate School of Science, Tohoku University

Department of Mathematics

Nico Van Cleemput, University Of West Bohemia

Department of Mathematics

Published

2015-02-04

Issue

Section

Articles