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Strongly Normal Sets of Tiles in N Dimensions

✍ Scribed by Punam K. Saha; T.Yung Kong; Azriel Rosenfeld


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
271 KB
Volume
46
Category
Article
ISSN
1571-0661

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Strongly normal sets of contractible til
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The second and third authors and others have studied collections of (usually) convex "tiles"-a generalization of pixels or voxels-in R 2 and R 3 that have a property called strong normality (SN): for any tile P, only finitely many tiles intersect P, and any nonempty intersection of those tiles also

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A convex polygon in R, or a convex polyhedron in R, will be called a tile. A connected set P of tiles is called a partial tiling if the intersection of any two of the tiles is either empty, or is a vertex or edge (in R: or face) of both. P is called strongly normal (SN) if, for any partial tiling P-

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