Timeline for Golden ratio in contemporary mathematics
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Sep 5, 2021 at 2:05 | comment | added | Brian Hopkins | @StevenStadnicki, thanks. For the Euclidean algorithm analysis, there are still details being worked out. A coauthor and I just had "Ties in Worst-Case Analysis of the Euclidean Algorithm" published (Math. Commun. 26 (2021) 9-20) where we worked out the other pairs that take as many steps as the minimal Fibonacci pair. For instance, in $(a,b)$ with $a \le b \le 12$, the pairs $(5,8)$, $(7,11)$, $(7,12)$ and $(8,11)$ all require four steps. The golden ratio came up all over the asymptotic analysis of other families of solutions. (I'm not up to date on mathematical phyllotaxis.) | |
| Sep 5, 2021 at 1:46 | comment | added | Steven Stadnicki | I like the reference to the golden mean shift, but I don't know that TAOCP and the 1977 phyllotaxis article quite count as 'contemporary mathematics' at this point... | |
| S Sep 5, 2021 at 0:55 | history | answered | Brian Hopkins | CC BY-SA 4.0 | |
| S Sep 5, 2021 at 0:55 | history | made wiki | Post Made Community Wiki by Brian Hopkins |