Timeline for Dividing a sphere into thirds with two planes
Current License: CC BY-SA 3.0
4 events
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Dec 18, 2022 at 2:06 | comment | added | marty cohen | Nice. I'd be interested in seeing your manipulation. (I.e., I'm too lazy to do it myself.) | |
Dec 17, 2022 at 20:46 | comment | added | Semiclassical | This is an example of the so-called "casus irreducibilis" case of the cubic equation. As such, there is a trigonometric solution for the desired root. After some manipulation, this yields a surprisingly simple width: $d=4 \sin\Big(\frac13 \sin^{-1}\frac13\Big).$ I do wonder if there's a geometric interpretation of this, but I can't say I have much hope. | |
Apr 3, 2015 at 4:43 | history | edited | marty cohen | CC BY-SA 3.0 |
fix typo
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Apr 3, 2015 at 4:29 | history | answered | marty cohen | CC BY-SA 3.0 |