Math and knitting are natural partners.
i've done Moebius scarves, (not cat's cast on, but the same center out style) and i have done Klein bottle hats, and most recently a hat created using a fibonacci sequence. (free pattern outline on my blog!)
currently, i am knitting the phylotaxix scarf from knitting nature.
be sure to check out Woollythoughts, and Hex and Bin meet my friends Knit and Purl. there is more math there than you can imagine.
you could do nothing but knit mathmatical models, and have a life times of knitting to contend with!