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05 December 2010 @ 08:36 am
Hyperbolic Plane, Negative Curvature 5:6  
Mum bought me Crocheting Adventures with Hyperbolic Planes for my birthday. I have just finished chapter 1 (go me!!!)







The curvature of a surface is a measure of, well, how curvy it is. Most curved surfaces have positive curvature, turning them into spheres or ellipsoids and the like. If a surface has negative curvature you end up with, well, a frill, which is what I crocheted above by the cunning device of adding in an extra sixth stitch for every 5 on the row below (hence the ratio of 5:6).

This entry was originally posted at http://purplecat.dreamwidth.org/26700.html.
 
 
 
lukadreaminglukadreaming on December 5th, 2010 09:28 am (UTC)
I now know what positive and negative curvature is. Don't test me on the rest!
louisedennislouisedennis on December 5th, 2010 02:20 pm (UTC)
I'm working up to the rest. My next project is to crochet something large enough to put lines on... then I'll have another shot at explaining all the parallelism stuff.
lukadreaminglukadreaming on December 5th, 2010 02:29 pm (UTC)
*Iz impressed*

OK! You are broadening my education no end *g*.
bigtitchbigtitch on December 5th, 2010 10:53 am (UTC)
Excellent. I am impressed by anyone who can crochet - I can knit and tat, but have never got away with crocheting!
louisedennislouisedennis on December 5th, 2010 02:19 pm (UTC)
I'm fairly impressed with myself too. I'm also impressed how quick it is!

I do need to get to grips with the terminology though. Luka asked if I could crochet her a hat and the online instructions I found were in gibberish.