Transitive Perfect Colorings of 2-Uniform Tilings

  • Rene P. Felix University of the Philippines Diliman
  • Lawrence A. Eclarin Mariano Marcos State University


In this work, a method to determine the nontrivial colorings of perfect and transitive 2-uniform tilings is presented. This method has been applied to determine all nontrivial transitive perfect colorings of 2-uniform tilings that use the least number of colors. In addition, the equivalence of the colorings obtained was also ascertained.

Keywords: Perfect colorings, 2-uniform tilings, equivalent colorings