Timeline for Does every ellipse inside a tetrahedron inside a ball fit in a triangle inside the ball?
Current License: CC BY-SA 3.0
13 events
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Dec 10, 2017 at 18:09 | history | edited | Martin Sleziak |
added top-level tag; https://meta.mathoverflow.net/questions/1457/why-are-mo-tags-formatted-as-they-are (The question has been bumped anyway,)
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Oct 10, 2012 at 17:13 | vote | accept | Matt Pusey | ||
Oct 8, 2012 at 15:02 | answer | added | Matt Pusey | timeline score: 7 | |
Oct 8, 2012 at 3:46 | answer | added | zeb | timeline score: 7 | |
Oct 5, 2012 at 8:42 | history | edited | Matt Pusey |
added projective-geometry tag as per Marcos Cossarini's request
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Oct 5, 2012 at 3:59 | comment | added | Marcos Cossarini | Please add the tag "projective-geometry". | |
Oct 3, 2012 at 21:07 | answer | added | Marcos Cossarini | timeline score: 7 | |
Oct 2, 2012 at 14:16 | answer | added | Karl Fabian | timeline score: 3 | |
Sep 29, 2012 at 8:18 | comment | added | Fedor Petrov | It looks probable that one may assume (by applying appropriate projective transformation) that the ellipse is a circle. Then the condition that it may not be put in the triangle is $OI^2>R^2-2Rr$, where $I$, $r$ denote center, radius of the circle, $O$, $R$ of the section of ball by the plane of this circle. This may help at least in computational brute force approach. | |
Sep 29, 2012 at 2:09 | comment | added | Joseph O'Rourke | A narrower question that may be easier to answer is this: Is a triangle $T_s \supset E$ such that $E$ is a Steiner ellipse of $T_s$ itself in the ball: $T_s \subset B$? The Steiner ellipse of a triangle is the unique ellipse inscribed in the triangle touching at the side midpoints. | |
Sep 28, 2012 at 15:36 | answer | added | Gerhard Paseman | timeline score: 0 | |
Sep 28, 2012 at 13:15 | answer | added | Joseph O'Rourke | timeline score: 1 | |
Sep 28, 2012 at 11:16 | history | asked | Matt Pusey | CC BY-SA 3.0 |