Twill Counters

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A short mathematical essay by Ralph Griswold on twill counters, the notation that describes which shafts are raised and not raised in a twill. It explains stacked and linear (slash) notation, how counters relate to twill tie-ups through rotation, and how to choose a standard form. It then presents a method for enumerating counters by treating them as compositions with an even number of terms, encoded as bit patterns, and distinguishes proper from inherited counters. A table gives counts of twill counters for 2 to 20 shafts.

Type
Web Doc
Date
May 16, 2002
Language
English
Pages
4
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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