Pantactic Designs: Part 1, 5x5 Pantactic Squares

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A short web document by Ralph Griswold introducing 5x5 pantactic squares, two-color grid patterns in which every 2x2 subpattern is different. It explains the hexadecimal labeling of the sixteen 2x2 subpatterns, the 800 essentially different squares, and their lack of symmetry. It also covers limits on connected paths and blocks, and how basic blocks can tile into larger repeating patterns, with two tiling examples. It closes with open questions about larger, non-square, and multi-color pantactic designs.

Type
Web Doc
Date
March 27, 2006
Language
English
Pages
2
Archive notes
Revised June 27, 2006
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From Ralph Griswold's Digital Archive, delivered by the University of Arizona.
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