I can see how it's easy to get hooked (sorry) on knitting and maths. You might start off doing visualisations of various sequences. Next, you wonder what happens if Fink and Mao's necktie analysis [1] is extended to an exhaustive analysis of knitting stitches, and end up with all sorts of multidimensional stuff. Finally that becomes too easy and you attempt to use a length of yarn to model the world line of a single electron [2] and accidentally win a Nobel Prize! :-)
[1] http://www.tcm.phy.cam.ac.uk/~ym101/tie/aps97tie.html
[2] https://en.wikipedia.org/wiki/One-electron_universe