Timeline for Largest possible volume of the convex hull of a curve of unit length
Current License: CC BY-SA 3.0
13 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 23, 2014 at 1:02 | answer | added | Joseph O'Rourke | timeline score: 7 | |
| Aug 22, 2014 at 21:35 | comment | added | Włodzimierz Holsztyński | @Gerard, if you meant an actual angle (with two sharp vertices) between the arcs then orange slice is not a consideration. The angles should be rounded. If one does it to some degree that the shape would be something between your example and my (perhaps failed) answer--it somewhat reminds both a tetrahedron and a cube at the same time. Now it could be a pretty good contender. | |
| Aug 22, 2014 at 19:58 | comment | added | Włodzimierz Holsztyński | @Gerard: I like your answer (an attempt :-). I could apply your way to my attempt below by adjusting the angles of arcs which at this time are set rigidly along being roughly parallel. | |
| Aug 22, 2014 at 19:31 | answer | added | Włodzimierz Holsztyński | timeline score: -2 | |
| S Aug 22, 2014 at 17:41 | history | suggested | Wolfgang | CC BY-SA 3.0 |
added tag about variations
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| Aug 22, 2014 at 17:39 | review | Suggested edits | |||
| S Aug 22, 2014 at 17:41 | |||||
| Dec 9, 2011 at 22:26 | comment | added | Steve Huntsman | related: mathoverflow.net/questions/26212 | |
| Dec 9, 2011 at 6:43 | vote | accept | Vladimir Reshetnikov | ||
| Dec 9, 2011 at 6:27 | answer | added | Gjergji Zaimi | timeline score: 28 | |
| Dec 9, 2011 at 5:42 | comment | added | Gerhard Paseman | I nominate a fractional orange slice: A slightly warped semicircular arc and part of a second one in a plane perhaps 120 degrees from the first one, sharing common end points. I leave the details to those with the computational power. Gerhard "Not Ready To Compute Volumes" Paseman, 2011.12.08 | |
| Dec 9, 2011 at 4:22 | comment | added | Vladimir Reshetnikov | It is definitely not a sphere. | |
| Dec 9, 2011 at 4:14 | comment | added | Anton Petrunin | If the optimal object is not a round sphere then the answer is not known. (There are few exceptions, but it is almost true.) | |
| Dec 9, 2011 at 3:47 | history | asked | Vladimir Reshetnikov | CC BY-SA 3.0 |