Timeline for What is known about these spherical point distributions related to pinecones?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Jun 16, 2017 at 4:26 | comment | added | Robin Saunders | The paper "Spherical Fibonacci mapping" by Keinert, Innmann, Sänger, and Stamminger cites most of the other papers on the subject that I've found so far; it also contains an overview, a new practical result and a few nice pictures. The main paper not cited is "Point Sets on the Sphere $\mathbb S^2$ with Small Spherical Cap Discrepancy" by Aistleitner, Brauchart, and Dick, which is also the only paper published in a journal that's decisively about maths, and the only one on arXiv (arxiv.org/abs/1109.3265) - the rest are very implementation- and/or application- oriented. | |
| Jun 16, 2017 at 3:36 | answer | added | Alexey Ustinov | timeline score: 2 | |
| Jun 16, 2017 at 3:21 | comment | added | Robin Saunders | I note with some despair that more than one of the aforementioned rediscoverers appears to have successfully obtained a patent for the result. | |
| Jun 16, 2017 at 3:19 | comment | added | Robin Saunders | The citation list has a lot of things which almost certainly aren't relevant, many things which probably aren't, and so far none which probably are. You gave me the idea to try searching for the title of Vogel's paper alongside the word "spherical", which as far as I can see throws up a bunch of people rediscovering the same concept outlined here and going over basic properties. I haven't yet found anything particularly interesting, but will update if I do. The latter search also suggests the keywords "spherical Fibonacci", though the number $n$ of points need not itself be a Fibonacci number. | |
| Jun 16, 2017 at 3:10 | comment | added | j.c. | I've often seen this in reference to the subject of phyllotaxis: en.wikipedia.org/wiki/Phyllotaxis though perhaps that's too general. Vogel's article has 200 citations according to Google Scholar. Did you try looking at some of those citing books and articles? | |
| Jun 16, 2017 at 3:02 | history | asked | Robin Saunders | CC BY-SA 3.0 |