Ralph Griswold describes William J. Jones's MultiReduce method, which permutes the columns and rows of an image to produce new images, and explores variations on it. He discusses which images work best (symmetric, striped, checked and large images), permutation periods, block permutations and 'mutations' that delete or duplicate columns. He notes that permutations preserve loom-controlled weavability and need the same shafts and treadles as the original, so they can serve as weave-design tools. He also covers animated permutations on the web, the difficulty of getting permutations into weaving software via WIF files, and ideas for further work.