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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Hindawi Limited
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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doaj-936a18a05ee94e45a0b43e063c185ad42020-11-24T22:15:58ZengHindawi LimitedAbstract 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
S. A. El-Shehawy M. Basher |
| spellingShingle |
S. A. El-Shehawy M. Basher JPD-Coloring of the Monohedral Tiling for the Plane Abstract and Applied Analysis |
| author_facet |
S. A. El-Shehawy M. Basher |
| author_sort |
S. A. El-Shehawy |
| title |
JPD-Coloring of the Monohedral Tiling for the Plane |
| title_short |
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_sort |
jpd-coloring of the monohedral tiling for the plane |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2015-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/2015/258436 |
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AT saelshehawy jpdcoloringofthemonohedraltilingfortheplane AT mbasher jpdcoloringofthemonohedraltilingfortheplane |
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1725792059768438784 |