There's a guy who blows glass and makes Klein bottles, and he is one of the most precious websites and needs to be protected at all costs.
Look at this website! It's like stepping through a portal to the past.
Down another road, if you want to create a single-sided surface, it's super easy you just take one with two sides and twist it once and tape it. Then you can show kids a magic trick by having them cut it in half lengthwise. It even looks decorative and cute.
Also, you can crochet hyperbolic surfaces by tying off more knots on outermore parts of the thing. Also coral does this.
Oh also also, look up what romanesco is. Isn't that fucked-up looking?
No model is accurate, some are useful.