Pseudospheres

[purplecat]

Pseudospheres are basically just the hyperbolic planes I've crocheted up before only this time in a spiral. Historically they are the first shapes that were hypothesized as examples of non-euclidean surfaces with negative curvature.

Practically speaking it's difficult to know when to stop crocheting up a pseudosphere...

This entry was originally posted at http://purplecat.dreamwidth.org/29537.html.

Comments

[bigtitch.livejournal.com]

They're very pretty.

Practically speaking it's difficult to know when to stop crocheting up a pseudosphere...
Ah yes, classically the only limits to non-euclidean geometry has always been the supply of yarn.. ;)

[purplecat]

I was actually persuaded to stop before I had run out of yarn but only on the grounds that the circumference of the pseudosphere was now the same length as the pattern on the yarn!

[lukadreaming.livejournal.com]

I remember what negative curvature is!

[purplecat]

Glad to know some of it is sticking!

[wellinghall.livejournal.com]

Have you seen these?
http://www.kleinbottle.com/klein_bottle_hats.htm

[purplecat]

I'd not. The book has instructions for crocheting a klein bottle, though you have to make two Mobius strips first.

[fredbassett]

I just keep wondering wht you're going to do with them all!

[purplecat]

I'm wondering that, especially since we don't really go in for trinkets.

[wellinghall.livejournal.com]

And then there's this ...

http://www.etsy.com/listing/33976760/two-headed-black-snake-scarf?ref=sr_gallery_1&ga_search_query=snake+two+headed&ga_search_type=handmade&ga_page=&order=&includes[0]=tags&includes[1]=title&filter[0]=handmade