Timeline for Are there examples of non-orientable manifolds in nature?
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
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| Jul 26, 2017 at 4:40 | history | edited | j.c. | CC BY-SA 3.0 |
fix broken images
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| Feb 14, 2012 at 0:24 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
Fixed broken image link.
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| Nov 12, 2010 at 23:23 | comment | added | J. M. isn't a mathematician | Yes, there is a fair bit of, to use chemical terminology, steric and torsional strain in these. When Hückel aromaticity is good enough for Nature's purposes, there's really no need for Möbius. | |
| Nov 12, 2010 at 20:15 | history | made wiki | Post Made Community Wiki by S. Carnahan♦ | ||
| Nov 12, 2010 at 20:01 | comment | added | j.c. | @Mariano: In naturally occuring reactions, (due to random collisions and the like) the products with lower energy will generically be preferred. The strain energy in these Möbius rings is high (due to the twisting; the $p_z$ orbitals prefer to be parallel (as that's what the lower energy π-bonding eigenfunctions look like)) compared to nontwisted rings. | |
| Nov 12, 2010 at 16:25 | history | edited | Joseph O'Rourke | CC BY-SA 2.5 |
Added universal recycling sign for grins.
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| Nov 12, 2010 at 16:24 | comment | added | Mariano Suárez-Álvarez | Why don't they occur in nature? | |
| Nov 12, 2010 at 16:16 | comment | added | Joseph O'Rourke | @J.M.: Thanks for the expert clarification! | |
| Nov 12, 2010 at 16:07 | comment | added | J. M. isn't a mathematician | Möbius-aromatic compounds don't really occur in nature, though there is this Nature article on a compound with this property: dx.doi.org/10.1038/nature02224 . It is interesting that the concept was proposed in 1964, and only practically realized with the synthesis of a compound with this property nearly forty years later. (Yes, I'm a chemist. :) ) | |
| Nov 12, 2010 at 15:24 | history | answered | Joseph O'Rourke | CC BY-SA 2.5 |