Celebrate and Remember Textiles$$Note $6$ Mathematics and computing both owe an immense debt to textiles, where many key ideas originated.$$Instructions for knitting patterns will tell you to begin by $$casting on$$ the needle some multiple$$of m plus r$,$ where m is the number of stitches to create one repetition of the pattern and r is the$$number of stitches needed for the two edges of the piece. For example, in the simple rib stitch$$pattern below, the repeating pattern is of length m $=4,$ and you need r $=2$ stitches for the edges.