Timeline for Which polygons can be turned inside out by a smooth deformation?
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
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| Aug 28, 2019 at 19:53 | comment | added | Joseph O'Rourke | @IvanMeir: Very nice example! | |
| Aug 28, 2019 at 18:09 | comment | added | Ivan Meir | @JosephO'Rourke Actually I believe I found a counterexample to the zero area conjecture based on the figure in your answer - see my update. | |
| Aug 28, 2019 at 13:24 | comment | added | Ivan Meir | @JosephO'Rourke Thanks, definitely looks plausible based on this. | |
| Aug 28, 2019 at 13:12 | comment | added | Joseph O'Rourke | @IvanMeir: I added their Fig.1, which supports your zero-area criterion. | |
| Aug 28, 2019 at 13:10 | history | edited | Joseph O'Rourke | CC BY-SA 4.0 |
added 29 characters in body
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| Aug 28, 2019 at 13:08 | comment | added | Ivan Meir | @MarkGrant Thank you - interesting to see such sophisticated results arising from an elementary problem. | |
| Aug 28, 2019 at 13:01 | comment | added | Ivan Meir | Thank you Joseph, that's a very elegant result that should be better know given it is such a natural question to ask. I am still thinking about the question of whether having a configuration with 0 area is also equivalent to a shape being reconfigurable. I think this follows from the paper but I need to think a bit more about this. | |
| Aug 28, 2019 at 12:38 | comment | added | Mark Grant | See also e.g. the work of Kapovich and Millson math.ucdavis.edu/~kapovich/EPR/plane.pdf or Farber and Schuetz arxiv.org/abs/math/0609140 for topological studies of moduli spaces of polygons. | |
| Aug 28, 2019 at 12:35 | vote | accept | Ivan Meir | ||
| Aug 28, 2019 at 11:34 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
added doi and a free link
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| Aug 28, 2019 at 11:32 | history | answered | Joseph O'Rourke | CC BY-SA 4.0 |