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Pattern reproduction in tessellation automata of arbitrary dimension

✍ Scribed by Thomas J. Ostrand

Publisher
Elsevier Science
Year
1971
Tongue
English
Weight
179 KB
Volume
5
Category
Article
ISSN
0022-0000

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✦ Synopsis

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 spaces of any finite dimension.

πŸ“œ SIMILAR VOLUMES

Tessellation structures for reproduction
Tessellation structures for reproduction of arbitrary patterns
✍ Serafino Amoroso; Gerald Cooper πŸ“‚ Article πŸ“… 1971 πŸ› Elsevier Science 🌐 English βš– 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.

Bodies of constant width in arbitrary di
Bodies of constant width in arbitrary dimension
✍ Thomas Lachand-Robert†; Γ‰douard Oudet πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 252 KB

## Abstract We give a number of characterizations of bodies of constant width in arbitrary dimension. As an application, we describe a way to construct a body of constant width in dimension __n__, one of its (__n__ – 1)‐dimensional projection being given. We give a number of examples, like a four‐d