Timeline for Golden ratio in contemporary mathematics
Current License: CC BY-SA 4.0
41 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 7 at 12:14 | answer | added | Marco Ripà | timeline score: 2 | |
| Dec 16, 2022 at 14:43 | answer | added | Oscar Lanzi | timeline score: 2 | |
| Dec 15, 2022 at 23:17 | comment | added | Michael Hardy | Currently the subject line of this question is "Golden ratio in contemporary mathematics." Should the term "contemporary mathematics" be construed as "contemporary mathematical research", in the sense in which the word "research" is used when mathoverflow is described as being for research-level mathematics, or might there be more to mathematics than mathematical research, including scientific and engineering applications and pedagogy? And how much do answers to this question depend on the answer to that? | |
| Dec 15, 2022 at 16:41 | answer | added | James Propp | timeline score: 2 | |
| Nov 25, 2022 at 21:19 | answer | added | Alessandro Della Corte | timeline score: 0 | |
| Nov 25, 2022 at 20:51 | answer | added | John Jiang | timeline score: 5 | |
| Sep 7, 2021 at 12:31 | answer | added | Denis Serre | timeline score: 5 | |
| Sep 7, 2021 at 8:55 | answer | added | coudy | timeline score: 4 | |
| Sep 6, 2021 at 20:04 | answer | added | Sylvain JULIEN | timeline score: 1 | |
| Sep 6, 2021 at 19:40 | answer | added | László Kozma | timeline score: 15 | |
| Sep 6, 2021 at 14:27 | answer | added | David Richter | timeline score: 4 | |
| Sep 6, 2021 at 13:06 | comment | added | user44143 | Related, for simulations which yield the golden ratio : stats.stackexchange.com/questions/514045. The shortest example there is that a random walk which goes +2 or -1 with equal likelihood will be below its maximum $1/\phi$ of the time, on average. | |
| Sep 6, 2021 at 12:11 | comment | added | will | Another quick example is the Golden-section search for finding the extremum of a function within a range. Arranging the points according to the gold ratio maximises search efficiency. | |
| Sep 6, 2021 at 8:57 | answer | added | polfosol | timeline score: 10 | |
| Sep 6, 2021 at 8:44 | answer | added | Roland Bacher | timeline score: 5 | |
| Sep 6, 2021 at 4:29 | answer | added | Sebastien Palcoux | timeline score: 8 | |
| Sep 6, 2021 at 2:29 | answer | added | Timothy Chow | timeline score: 6 | |
| Sep 5, 2021 at 14:44 | answer | added | Jakub Konieczny | timeline score: 7 | |
| Sep 5, 2021 at 11:18 | comment | added | Claude Chaunier | The golden ratio is all over the place in geometry involving regular pentagons, and there is no end to research even there. See my MO user picture! | |
| Sep 5, 2021 at 8:40 | comment | added | Džuris | IT SHOW s uP evRYwhErE!!1 | |
| Sep 5, 2021 at 6:26 | answer | added | ho boon suan | timeline score: 34 | |
| Sep 5, 2021 at 2:39 | answer | added | Tony Huynh | timeline score: 8 | |
| Sep 5, 2021 at 0:55 | answer | added | Brian Hopkins | timeline score: 5 | |
| Sep 5, 2021 at 0:52 | answer | added | KConrad | timeline score: 9 | |
| Sep 4, 2021 at 23:37 | answer | added | Alexandre Eremenko | timeline score: 4 | |
| Sep 4, 2021 at 22:24 | vote | accept | johhnyelgerton | ||
| Sep 4, 2021 at 21:13 | answer | added | Wojowu | timeline score: 8 | |
| Sep 4, 2021 at 20:58 | answer | added | Ian Agol | timeline score: 7 | |
| Sep 4, 2021 at 20:45 | answer | added | Pietro Majer | timeline score: 12 | |
| Sep 4, 2021 at 20:42 | history | became hot network question | |||
| Sep 4, 2021 at 20:36 | answer | added | wlad | timeline score: 4 | |
| Sep 4, 2021 at 20:27 | answer | added | Tom Copeland | timeline score: 5 | |
| Sep 4, 2021 at 16:04 | history | made wiki | Post Made Community Wiki by Stefan Kohl♦ | ||
| Sep 4, 2021 at 15:15 | answer | added | Joseph Van Name | timeline score: 8 | |
| Sep 4, 2021 at 15:13 | comment | added | Benjamin Steinberg | Probably this is too old to be modern but the Fibonacci numbers were used by Lamé in his proof of the time complexity of the Euclidean Algorithm for finding the gcd. | |
| Sep 4, 2021 at 14:26 | answer | added | JoshuaZ | timeline score: 24 | |
| Sep 4, 2021 at 13:58 | comment | added | Joseph Van Name | In music, you can argue that an interval (ratio of frequencies) of the golden ratio is the most dissonant interval. Just type successive Fibonacci numbers into a tone generator here szynalski.com/tone-generator and play them at the same time. | |
| Sep 4, 2021 at 13:53 | comment | added | johhnyelgerton | Very interesting! | |
| Sep 4, 2021 at 13:14 | answer | added | Matt Zaremsky | timeline score: 48 | |
| Sep 4, 2021 at 13:07 | comment | added | Wojowu | It is used for instance in the study of Fibonacci and related sequences. The recent proof that 144 is the largest perfect power in the Fibonacci sequence used crucially exponential equations with base, you guessed it, the golden ratio. | |
| Sep 4, 2021 at 12:41 | history | asked | johhnyelgerton | CC BY-SA 4.0 |