If K=0 and P=1 (or vice versa), anything can happen - the dots and dashes of morse code can be knit into an account of creation theory, for example.
Kristen Haring's piece spells out the text of a letter that Leibniz wrote to a Jesuit missionary who was a mathematician in contact with the Chinese emperor. The piece is 88 stitches wide - doubly lucky in China. She talks about her morse code knitting, and other binary systems, here. (She's a mathematician and historian of science -- who had the good fortune to be born into a hands-on crafty family.)
Other ways of generating pattern during the knitting process are shown here. Stocking stitch, anyone?
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