Timeline for Acute triangles from 100 points
Current License: CC BY-SA 4.0
15 events
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Dec 4, 2018 at 21:37 | history | edited | Empy2 | CC BY-SA 4.0 |
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Dec 1, 2018 at 13:05 | comment | added | Empy2 | @CarloBeenakker I am pretty sure the MSE answers establish the upper bound of 66.675%, by drawing a contradiction, but don't provide a pattern of points with a slightly lower percentage. | |
Dec 1, 2018 at 4:08 | comment | added | Gerry Myerson | See also math.stackexchange.com/questions/1509657/… and math.stackexchange.com/questions/2892862/… and cut-the-knot.org/Probability/ObtuseTriangle.shtml | |
Dec 1, 2018 at 2:14 | history | edited | Empy2 | CC BY-SA 4.0 |
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Dec 1, 2018 at 2:01 | history | edited | Adam P. Goucher | CC BY-SA 4.0 |
Converted to research mathematics
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Nov 30, 2018 at 23:39 | history | edited | YCor |
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Nov 30, 2018 at 22:38 | comment | added | LSpice | @NoamD.Elkies, certainly you are right and I am wrong. Despite my quoting it accurately, I read it as "from the 1970's". | |
Nov 30, 2018 at 22:35 | review | Close votes | |||
Dec 5, 2018 at 12:35 | |||||
Nov 30, 2018 at 22:34 | comment | added | Noam D. Elkies | @LSpice It's not vague at all. There's only one IMO each year, consisting of six problems. It's easy enough to locate online. Problem 6 reads "In a plane there are $100$ points, no three of which are collinear. Consider all possible triangles having these point as vertices. Prove that no more than $70\%$ of these triangles are acute-angled." artofproblemsolving.com/wiki/index.php?title=1970_IMO_Problems | |
Nov 30, 2018 at 22:17 | history | edited | Empy2 | CC BY-SA 4.0 |
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Nov 30, 2018 at 22:16 | comment | added | Empy2 | Yes, my question iis to fill in the gap between 2/3 and 5/9 | |
Nov 30, 2018 at 22:14 | comment | added | Carlo Beenakker | this question is fully answered at math.stackexchange.com/questions/1592964/… . | |
Nov 30, 2018 at 22:13 | history | edited | Empy2 | CC BY-SA 4.0 |
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Nov 30, 2018 at 22:05 | comment | added | LSpice | "An IMO question from 1970" is awfully vague. Could you give more pointers, and/or the statement? | |
Nov 30, 2018 at 22:02 | history | asked | Empy2 | CC BY-SA 4.0 |