On the Numbers of Patterns Which Can Be Derived from Certain Elements
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A mathematical article by J. E. A. Steggall counting the distinct repeating patterns that can be built from n×n squares with n shaded cells, one per row and column (permutation elements). It derives formulas that account for cyclic shifts and constant additions, works special cases (n prime, n = ab, n = a^a, n = 2^r), and ends with a table of counts for n from 1 to 12. The treatment is purely combinatorial, with no weaving drafts or textile terms, though the shaded-square patterns resemble twill-like and satin-like arrangements.
- Type
- Article
- Date
- 1908
- Language
- English
- Pages
- 6
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From Ralph Griswold's Digital Archive, delivered by the University of Arizona.
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