Spherical tilings by congruent quadrangles: Forbidden cases and substructures

Authors

  • Yohji Akama Tohoku University, Japan
  • Nico Van Cleemput University of West Bohemia, Czech Republic

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.

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Published

2015-02-04

Issue

Vol. 8 No. 2 (2015)

Section

Articles

License

Articles in this journal are published under Creative Commons Attribution 4.0 International License
https://creativecommons.org/licenses/by/4.0/