Constrained Patterns, Part 2: Neighborhood Analysis

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A short web article by Ralph Griswold on how to determine the neighborhood constraint set of a black-and-white cell pattern by examining each cell's neighborhood template. It compares three ways of handling edge cells with incomplete neighborhoods: ignoring them, wrapping the pattern as a repeat, and keeping partial neighborhoods. It discusses the Morse-Thue carpet, an aperiodic pattern whose constraint set has 18 templates, and random patterns, which may use all 32 possible constraints. It is illustrated with grid diagrams and neighborhood templates.

Type
Web Doc
Date
June 23, 2002
Language
English
Pages
3
Archive notes
Last revised July 31, 2004
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From Ralph Griswold's Digital Archive, delivered by the University of Arizona.
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