Timeline for Trees with a maximal convex hull: are the only optimal solutions Steiner trees?
Current License: CC BY-SA 3.0
7 events
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Sep 22, 2014 at 7:06 | comment | added | Wolfgang | Thank you also for the two links. After seeing your answer, I realized that this is closely related to those questions about curves in $\mathbb R^2$ or $\mathbb R^3$. How misleading it can be to stick too much to the idea of "trees"! | |
| Sep 22, 2014 at 6:52 | vote | accept | Wolfgang | ||
| Sep 22, 2014 at 6:48 | comment | added | Wolfgang | And even for $n=5$, taking 5 sides of an octagon yields an area $2\sqrt{3}(1+\sqrt{2})\approx8.36>8.$ | |
| Sep 21, 2014 at 19:59 | history | edited | Jan Kyncl | CC BY-SA 3.0 |
added 342 characters in body
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| Sep 21, 2014 at 19:41 | comment | added | Wolfgang | Great approach and big surprise! It looks like you are right. For $n$ as small as $n=6$, taking half of a 12-gon yields an area $6+4\sqrt{3}\approx 12.93>12$. | |
| Sep 21, 2014 at 19:21 | history | answered | Jan Kyncl | CC BY-SA 3.0 |