Comments on: Less Annoying Hyperbolic Surfaces
https://blog.tanyakhovanova.com/2019/01/less-annoying-hyperbolic-surfaces/
Mathematics, applications of mathematics to life in general, and my life as a mathematician.Thu, 28 Feb 2019 14:11:23 +0000
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By: JF Peltier
https://blog.tanyakhovanova.com/2019/01/less-annoying-hyperbolic-surfaces/#comment-12839
Thu, 28 Feb 2019 14:11:23 +0000https://blog.tanyakhovanova.com/?p=1398#comment-12839Crocheting hyperbolic surfaces is very nice!
While playing with neodymium magnet balls, I did all sorts of spheres by removing some shapes that paves the plane, and then instead of removing I started adding more “fabric” of space and got hyperbolic surfaces.
Like for crochet, the easiest way is to make concentric circles of length greater than 6n, for example 7n or 8n… this is the equivalent to adding stiches every rank.
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By: Jim Stevenson
https://blog.tanyakhovanova.com/2019/01/less-annoying-hyperbolic-surfaces/#comment-12836
Sun, 24 Feb 2019 19:26:38 +0000https://blog.tanyakhovanova.com/?p=1398#comment-12836This is a rather belated response to your post “The Annoyance of Hyperbolic Surfaces”. I had not paid too much attention to these types of knitting or crocheting efforts, but your reference to exponential growth and a surface of constant negative curvature prompted me to explore the idea more deeply. (My interest was further fueled, of course, by the delightful humor of your tale.) I developed one light-weight post on the exponential growth (https://josmfs.net/2019/02/22/exponential-yarn/), but then got tangled in a deeper post on the constant negative curvature (https://josmfs.net/2019/02/24/bugles-trumpets-and-beltrami/), where I got off the track through an over-simplification and misunderstanding. It is amazing what one can learn doing a detailed example. I thank you for the stimulus to tackle such a problem. I should also say I have enjoyed a number of your other posts. (I was led to your involvement with the Coffin Problems from Nakul Dawra’s GoldPlatedGoof Youtube site and his presentation of the background and some examples.)
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By: Math for the knitting masses – The nth Root
https://blog.tanyakhovanova.com/2019/01/less-annoying-hyperbolic-surfaces/#comment-12806
Mon, 21 Jan 2019 00:03:44 +0000https://blog.tanyakhovanova.com/?p=1398#comment-12806[…] For my next project, I reduced the ratio. The light blue thingy has ratio 3/2. I continued making my life simpler. The next project, the purple surface on the left, has ratio 4/3. The last project on the right has a ratio of 5/4 and is my favorite. Mostly because I am lazy and it was the fastest to make. … (Tanya Khovanova’s Math Blog) […]
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