Spherical tilings by congruent quadrangles: Forbidden cases and substructures

Yohji Akama, Nico Van Cleemput

Research output: Contribution to journalArticle

2 Citations (Scopus)

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 languageEnglish
Pages (from-to)297-318
Number of pages22
JournalArs Mathematica Contemporanea
Volume8
Issue number2
DOIs
Publication statusPublished - 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

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