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
β¦ LIBER β¦
Strongly Normal Sets of Tiles in N Dimensions
β 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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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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