Timeline for Is it possible to capture a sphere in a knot?
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 30 at 22:57 | comment | added | LSpice | Responding, I think, to @AntonGeraschenko's answer. | |
| Dec 9, 2009 at 17:30 | comment | added | Reid Barton | I did try briefly but was unsuccessful. One first needs some point to play the role of C. I suppose it could even be the case that any point inside the face will do; my intuition for spherical geometry is very bad. | |
| Dec 8, 2009 at 22:17 | comment | added | David E Speyer | I didn't follow all the details, but I'll ask anyway: Can this be adapted to show that any trivalent graph with a pentagonal face can't be a local minimum? Because every trivalent planar graph has a face with <= 5 sides. | |
| Dec 8, 2009 at 20:22 | comment | added | zeb | nice argument! (slicker than my argument for the cube, too) What do you think about the graph you get by shrinking the top and bottom faces of the dodecahedron to points? The only motion I can think of for that one that might decrease length is moving the remaining ten vertices all upwards simultaneously. | |
| Dec 8, 2009 at 17:13 | history | answered | Reid Barton | CC BY-SA 2.5 |