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Reproduction in tessellation structures

โœ Scribed by Wallace L. Hamilton; John R. Mertens Jr.

Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
203 KB
Volume
10
Category
Article
ISSN
0022-0000

No coin nor oath required. For personal study only.

โœฆ Synopsis

For arbitrary state alphabet, dimension and neighborhood index a parallel transformation is defined that gives a tessellation structure that reproduces any finite pattern. The reproduced copies will occur in a quiescent environment if the cardinality of the alphabet is a power of a prime number 248

๐Ÿ“œ SIMILAR VOLUMES

Tessellation structures for reproduction
Tessellation structures for reproduction of arbitrary patterns
โœ Serafino Amoroso; Gerald Cooper ๐Ÿ“‚ Article ๐Ÿ“… 1971 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 533 KB

For an arbitrary state alphabet A, one-and two-dimensional tessellation structures are defined that have the ability to reproduce any finite pattern (formed from the symbols in A) in the sense of Moore . The reproduced patterns will occur in quiescent environments if # A is prime.

Pattern reproduction in tessellation aut
Pattern reproduction in tessellation automata of arbitrary dimension
โœ Thomas J. Ostrand ๐Ÿ“‚ Article ๐Ÿ“… 1971 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 179 KB

Amoroso and Cooper have shown that for an arbitrary state alphabet A, one-and two-dimensional tessellation automata are definable which have the ability to reproduce any finite pattern contained in the tessellation space. This note shows that the same construction may be applied to tessellation spac