Transitive perfect colorings of the non-regular Archimedean tilings

Abstract

In this work, we give a method to obtain nontrivial transitive perfect colorings of the non-regular Archimedean tilings using the least possible number $n$ of colors. We also look for other non-equivalent transitive perfect $n$-colorings of a given non-regular Archimedean tiling.

arXiv comment8 pages, 8 figures