Operations on Patterns, Part 2: Geometrical Transformations

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A short mathematical article by Ralph Griswold, the second in a series on operations on patterns, covering geometrical transformations of grid-based patterns. It defines rotations in 90-degree increments (clockwise convention) and four flips (horizontal, vertical, right diagonal, left diagonal), illustrated with square and oblong pixel patterns. It also gives identities relating the operations and how they affect pattern height and width, shows how compound operations derive from a few basic ones, and ends with a summary table of symbols.

Type
Web Doc
Date
May 7, 2002
Language
English
Pages
2
Archive notes
Last revised August 1, 2004
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From Ralph Griswold's Digital Archive, delivered by the University of Arizona.
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