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20 December 2010 @ 05:33 pm
Pseudospheres  






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.
 
 
 
bigtitch: merlin_geoffreybigtitch on December 20th, 2010 05:53 pm (UTC)
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.. ;)
louisedennislouisedennis on December 21st, 2010 12:02 pm (UTC)
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!
lukadreaminglukadreaming on December 20th, 2010 05:56 pm (UTC)
I remember what negative curvature is!
louisedennislouisedennis on December 21st, 2010 12:07 pm (UTC)
Glad to know some of it is sticking!
wellinghallwellinghall on December 20th, 2010 06:18 pm (UTC)
louisedennislouisedennis on December 21st, 2010 12:08 pm (UTC)
I'd not. The book has instructions for crocheting a klein bottle, though you have to make two Mobius strips first.
fredbassettfredbassett on December 20th, 2010 07:57 pm (UTC)
I just keep wondering wht you're going to do with them all!
louisedennislouisedennis on December 21st, 2010 12:08 pm (UTC)
I'm wondering that, especially since we don't really go in for trinkets.