Timeline for Packing and isoperimetrics
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 27, 2013 at 12:09 | answer | added | Frank Morgan | timeline score: 8 | |
| Apr 9, 2013 at 17:55 | answer | added | Yoav Kallus | timeline score: 3 | |
| Jul 6, 2012 at 11:16 | answer | added | j.c. | timeline score: 4 | |
| Jul 6, 2012 at 10:11 | answer | added | Joseph O'Rourke | timeline score: 4 | |
| Jul 6, 2012 at 6:49 | history | edited | David Feldman | CC BY-SA 3.0 |
added 5 characters in body
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| Jul 6, 2012 at 6:48 | comment | added | David Feldman | Are you holding the mass contained within an individual containers constant? Yes, as I think my first sentence indicates. 2. I'm betting hexagons with corners rounded into circular arcs. 3. Yes, that's what I meant. | |
| Jul 6, 2012 at 6:33 | comment | added | Will Sawin | 3. Where they do not touch, the containers can be thought of as soap bubbles, in an equilibrium of surface temperature and pressure. I've heard that this would imply a surface with contant mean curvature but I don't know the proof. | |
| Jul 6, 2012 at 6:31 | comment | added | Will Sawin | 1. Are you holding the mass contained within an individual containers constant? The surface area of an individual container constant? If neither, how do you prevent arbitrarily large containers rendering the isoperimetric component trivial? 2. Have you considered solving the 2-dimensional version first? It seems to me that the containers would have the same shape as the set of points of distance no more than $a$ from a regular hexagon of radius $b$ for some $a$ and $b$. | |
| Jul 6, 2012 at 4:52 | history | asked | David Feldman | CC BY-SA 3.0 |