Abstract and Applied Analysis

JPD-Coloring of the Monohedral Tiling for the Plane

S. A. El-Shehawy and M. Basher

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Abstract

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.

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


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