Signature Sequences in Weave Design
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A short paper by Ralph Griswold on using Kimberling fractal integer sequences, especially signature sequences of irrational numbers, to generate threading and treadling sequences for weaving drafts. It explains fractal sequences, upper and lower trimming, and signature sequences for numbers such as the golden mean, e and pi. It then covers reducing terms by residues modulo the number of shafts and treadles, and reflecting a portion of a sequence to get symmetric repeats. Most pages are figures: grid plots of sequences, residue plots, and drawdowns for 16-shaft, 16-treadle twill tie-ups using different number and term-range combinations.
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From Ralph Griswold's Digital Archive, delivered by the University of Arizona.
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