Gabriel López
Gabriel López

Polychromatic chess


This article explores how to extend the geometry and rules of classic chess to hexagonal boards using sequences of colors which alow new movements for the pieces. By dividing the plane with regular hexagonal mosaics and coloring the resulting map with three and four colors, new geometric and topological configurations do appear which suggest a natural way of generalizing the game of chess. Behind these configurations of hexagonal boards lie two old and beautiful mathematical problems: dividing the plane with a regular tessellation and the four colors problem. Here we study the relationships that appear between these fundamental problems and the idea of generalizing quadrangular chess to boards with different tessellations and colorings.


The reader may reproduce this copyrighted material for non-commercial, personal use at will. Paper sizes A1 and A2 are strongly recommended. A four-colors board is shown in Figure 7 in the included article.






The a preprint of the article is in the following link.




The complete set of rules is in the following  link