JPD-Coloring of the Monohedral Tiling for the Plane

We introduce a definition of coloring by using joint probability distribution “JPD-coloring” for the plane which is equipped by tiling I. We investigate the JPD-coloring of the r-monohedral tiling for the plane by mutually congruent regular convex polygons which are equilateral triangles at r = 3 or...

Full description

Bibliographic Details
Main Authors: S. A. El-Shehawy, M. Basher
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2015/258436
Description
Summary:We introduce a definition of coloring by using joint probability distribution “JPD-coloring” for the plane which is equipped by tiling I. We investigate the JPD-coloring of the r-monohedral tiling for the plane by mutually congruent regular convex polygons which are equilateral triangles at r = 3 or squares at r = 4 or regular hexagons at r = 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.
ISSN:1085-3375
1687-0409