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Residue Sequences in Weave Design

Most integer sequences that come to mind — such as the integers, the squares, the cubes, the Fibonacci numbers, and the primes — have terms that get larger and larger. For most design purposes, values need to be limited to a fixed range, such as the number of shafts or treadles available. The most natural way to bring an integer sequence into a fixed range is to use modular arithmetic — to use the remainders or residues* of the terms on division by a specified modulus. For example, the sequence of the cubes