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JPD-Coloring of the Monohedral Tiling for the Plane

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  • S. A. El-Shehawy
  • M. Basher

Abstract

We introduce a definition of coloring by using joint probability distribution “JPD-coloring” for the plane which is equipped by tiling . 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.

Suggested Citation

  • S. A. El-Shehawy & M. Basher, 2015. "JPD-Coloring of the Monohedral Tiling for the Plane," Abstract and Applied Analysis, Hindawi, vol. 2015, pages 1-8, February.
    • Handle: RePEc:hin:jnlaaa:258436
    DOI: 10.1155/2015/258436
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