English

Icosahedral Tilings Revisited

Combinatorics 2016-08-16 v1

Abstract

Icosahedral tilings, although non-periodic, are known to be characterized by their configurations of some finite size. This characterization has also been expressed in terms of a simple alternation condition. We provide an alternative proof - shorter and arguably easier - of this fact. We moreover conjecture that the alternation condition can be weakened.

Keywords

Cite

@article{arxiv.1608.03962,
  title  = {Icosahedral Tilings Revisited},
  author = {Nicolas Bédaride and Thomas Fernique},
  journal= {arXiv preprint arXiv:1608.03962},
  year   = {2016}
}

Comments

5 pages, 1 figure

R2 v1 2026-06-22T15:19:01.108Z