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...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/258436 |
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| author | S. A. El-Shehawy M. Basher |
| author_facet | S. A. El-Shehawy M. Basher |
| author_sort | S. A. El-Shehawy |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-936a18a05ee94e45a0b43e063c185ad4 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-936a18a05ee94e45a0b43e063c185ad42025-02-03T01:02:19ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/258436258436JPD-Coloring of the Monohedral Tiling for the PlaneS. A. El-Shehawy0M. Basher1Department of Mathematics, Faculty of Science, Menoufia University, Shebin El-Kom 32511, EgyptDepartment of Mathematics and Computer Science, Faculty of Science, Suez University, Suez 43518, EgyptWe 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.http://dx.doi.org/10.1155/2015/258436 |
| spellingShingle | S. A. El-Shehawy M. Basher JPD-Coloring of the Monohedral Tiling for the Plane Abstract and Applied Analysis |
| title | JPD-Coloring of the Monohedral Tiling for the Plane |
| title_full | JPD-Coloring of the Monohedral Tiling for the Plane |
| title_fullStr | JPD-Coloring of the Monohedral Tiling for the Plane |
| title_full_unstemmed | JPD-Coloring of the Monohedral Tiling for the Plane |
| title_short | JPD-Coloring of the Monohedral Tiling for the Plane |
| title_sort | jpd coloring of the monohedral tiling for the plane |
| url | http://dx.doi.org/10.1155/2015/258436 |
| work_keys_str_mv | AT saelshehawy jpdcoloringofthemonohedraltilingfortheplane AT mbasher jpdcoloringofthemonohedraltilingfortheplane |