Timeline for What are some examples of ingenious, unexpected constructions?
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
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| Apr 17, 2023 at 18:45 | comment | added | Dabed | I know very little algebraic geometry so the paper is beyond me but for the moment I have added a citation to it and linked both Wikipedia articles to each other, thanks a lot! | |
| Apr 14, 2023 at 19:41 | comment | added | Misha | @Dabed: Yes and yes, except Kempe did not really prove anything (however, he described a general framework for a proof). math.ucdavis.edu/~kapovich/EPR/mod.pdf | |
| Apr 13, 2023 at 17:15 | comment | added | Dabed | Does Kempe's universality theorem fit here and does it relate with Mnev's Universality Theorem? | |
| Apr 8, 2023 at 9:18 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
http -> https (the question was bumped anyway)
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| Mar 12, 2012 at 10:29 | comment | added | Lennart Meier | For the third, you can find here: reocities.com/jshum_1999/polyhedra/counter.htm some pictures. | |
| Mar 12, 2012 at 4:00 | comment | added | Misha | Igor, you are right, but Richter-Gebert's result came after Mnev's and was inspired by his work. It is not uncommon that later results are stronger than the original one. Also, Richter-Gebert deals only with polytopes, while Mnev's original work (for matroids) has applications (primarily of algebro-geometric nature) which do not follow from Richter-Gebert's work (e.g, our work with Millson, work of Lafforgue, Belkale-Brosnan and of Vakil.) Concerning Briquard's examples: They were known for about 80 years before Connelly managed to eliminate intersections. | |
| Mar 12, 2012 at 0:31 | comment | added | Igor Rivin | Actually, re 2, there is a far stronger result of Richter-Gebert (which does everything in dimension 4, as opposed to unbounded dimension, as in Mnev's original result). For 3, there was the Briquard octahedron, which is only barely un-embedded, so it was maybe not so surprising. | |
| Mar 11, 2012 at 17:38 | comment | added | Robert Kucharczyk | That is really nice, in particular 1. I was totally unaware of 1 and 2. | |
| Mar 11, 2012 at 17:27 | history | edited | Misha | CC BY-SA 3.0 |
added 633 characters in body
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| Mar 11, 2012 at 6:46 | history | edited | Goldstern | CC BY-SA 3.0 |
fixed link to wikipedia (%27)
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| Mar 11, 2012 at 4:09 | history | answered | Misha | CC BY-SA 3.0 |