## Abstract and Applied Analysis

- Abstr. Appl. Anal.
- Volume 2015 (2015), Article ID 258436, 8 pages.

### JPD-Coloring of the Monohedral Tiling for the Plane

S. A. El-Shehawy and M. Basher

#### Abstract

We introduce a definition of coloring by using joint probability distribution “JPD-coloring” for the plane which is equipped by tiling $\mathfrak{I}$. 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.

#### Article information

**Source**

Abstr. Appl. Anal., Volume 2015 (2015), Article ID 258436, 8 pages.

**Dates**

First available in Project Euclid: 15 April 2015

**Permanent link to this document**

https://projecteuclid.org/euclid.aaa/1429103756

**Digital Object Identifier**

doi:10.1155/2015/258436

**Mathematical Reviews number (MathSciNet)**

MR3316989

**Zentralblatt MATH identifier**

1347.52017

#### Citation

El-Shehawy, S. A.; Basher, M. JPD-Coloring of the Monohedral Tiling for the Plane. Abstr. Appl. Anal. 2015 (2015), Article ID 258436, 8 pages. doi:10.1155/2015/258436. https://projecteuclid.org/euclid.aaa/1429103756