Timeline for Besides the tracioid are there other surfaces of revolution that have a constant negative curvature?
Current License: CC BY-SA 4.0
7 events
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| Dec 4, 2018 at 16:53 | history | edited | YCor | CC BY-SA 4.0 |
fixed Chebyshev's spelling, formatting
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| Apr 13, 2017 at 12:19 | history | edited | CommunityBot |
replaced http://math.stackexchange.com/ with https://math.stackexchange.com/
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| Oct 5, 2014 at 21:08 | comment | added | Willemien | be careful, it is a "pseudo spherical surface of the hyperbolic (ring) type" not an "pseudoshere of the hyperbolic type " not sure about your other remarks better put them at the stackechange question | |
| Oct 5, 2014 at 20:57 | comment | added | Narasimham | @Willemien: Thanks, I just seen it.We agree beyond any doubt it is the ring/hyperbolic type.. parameters b^2 and m are related, but it is not important.One can as DIY activity or engaging a carpenter for mold undertake to duplicate Beltrami's pseudosphere using tough cloth or fiberglass material with resin. The main question remaining is G(u,v) parametrization required in geodesic polar coordinates.Here (u,v) are not $(r,\theta)$ for surface of revolution, but (radial, circumferential) of a circular patch in the cushion/saddle area Beltrami chose to make his paper model. | |
| Oct 5, 2014 at 20:11 | comment | added | Willemien | Hi i added an answer to your question at stackexchange, (and i think it is the ring / hypperbolic type) it is all rather complicated Klein 's vorlesungen" on page 284 (abb 217) refers to a $b^2$ not to an $m$ not sure how to get from b to m. ps i refer the first edition (1928) | |
| Oct 4, 2014 at 20:31 | history | edited | Narasimham | CC BY-SA 3.0 |
added 24 characters in body
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| Oct 4, 2014 at 20:26 | history | answered | Narasimham | CC BY-SA 3.0 |