Timeline for Triangle centers as power sum minimizing points: Which is the locus of all these points?
Current License: CC BY-SA 2.5
7 events
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| Feb 9, 2020 at 17:21 | history | edited | YCor |
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| Jun 29, 2010 at 17:28 | comment | added | Matthew Conroy | When $q \rightarrow \infty$, $P$ does not (generally) approach the circumcenter. Consider an obtuse isosceles triangle. If we let the obtuse angle approach $\pi$, the circumcircle radius grows to infinity, so the center grows arbitrarily far from the vertices of the triangle. Such a point clearly cannot minimize $f_q$. In this case, P approaches the midpoint of the side opposite the obtuse angle. | |
| Jun 28, 2010 at 7:40 | answer | added | Matthew Conroy | timeline score: 3 | |
| Jun 27, 2010 at 21:09 | history | edited | Andreas Rüdinger | CC BY-SA 2.5 |
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| May 30, 2010 at 8:11 | answer | added | Suresh Venkat | timeline score: 1 | |
| May 30, 2010 at 1:41 | comment | added | S. Carnahan♦ | Don't you lose convexity when $q$ is small? It seems like you would get local minima near each corner in the zero limit. | |
| May 29, 2010 at 22:58 | history | asked | Andreas Rüdinger | CC BY-SA 2.5 |