JPD-Coloring of the Monohedral Tiling for the Plane

Abstract

We introduce a definition of coloring by using joint probability distribution “JPD-coloring” for the plane which is equipped by tilingI. We investigate the JPD-coloring of ther-monohedral tiling for the plane by mutually congruent regular convex polygons which are equilateral triangles atr= 3 or squares atr= 4 or regular hexagons atr= 6. Moreover we present some computations for determining the corresponding probability values which are used to color in the three studied cases by MAPLE-Package.