i’ve been looking into mathematical knitting a bit lately (george and i had a fun talk about it tonight, which was hilarious because neither of us knew what the other was talking about for the most part) and i guess the thing about it that frustrates me, that i’m struggling with, is that you really can’t make pretty things! i mean, there are some kind of cute, like, moebius cowls, but they’re very limited, and then there are some decorative hyperbolic surfaces, klein bottles, tauri, pseudospheres, and while they’re topologically cool…
i dunno. i guess my issue is that, and i know this isn’t a hard and fast rule, but at least in my mind, knitted things should by and large be wearable or practical in some way, and visually appealing in those functions. and like, lumpy squiggly things in garter or seed stitch, or maybe ribbing, are just, like… ugh. and, okay, i get the idea behind klein bottle hats, because technically they have a structure similar enough to hats to work in that way, but you’re never going to wear it! you’ll wear it, like, maybe once to take pictures for your ravelry page, and then to a couple math conferences, and then what? it just doesn’t make sense to me.
i just want to make pretty things that also have radical mathematical properties and some kind of utility.
wire-knit hyperbolic surfaces could actually be pretty cool for jewelry, i think. maybe in habu or something, there’s an idea.
i’m just speculating, but i think one thing that a lot of the klein bottle hats are missing out on is the opportunity to be slouchy. they tend to have the “neck” quite stiff, sticking up very conspicuously, which i get if you want to emphasize it’s klein bottleyness, but if you wanted to downplay that, i think you could make a pretty cute hat that looks more or less like a normal slouchy hat, but then you pull it off and hey! it’s a klein bottle. i dunno. maybe it wouldn’t work. i feel like it would though!