Timeline for Is there a generalisation of the "sunflower spiral" to higher dimensions?
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| Aug 18, 2015 at 15:24 | history | edited | Carlo Beenakker | CC BY-SA 3.0 |
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| May 22, 2010 at 16:48 | comment | added | Henry Segerman | On $r=k^{1/3}$, this choice ensures that the density of points inside large spheres centered at the origin approaches a limit as the radii go to infinity. I guess it isn't necessary to the spirit of the problem to require this, but it seems sensible. | |
| May 22, 2010 at 14:30 | comment | added | Henry Segerman | Apart from the first few in your example sequence, you're picking out one of the spirals for which consecutive terms differ by a particular Fibonacci number (in this case 21). In the 2D version, these spirals are apparent only for a small range of radii, before larger Fibonacci number differences show up in neighbouring points. So presumably in 3D there would have to be many different sea-shells with different "angles" (rates of growth, corresponding to the increasing Fibonacci number differences). | |
| May 22, 2010 at 6:56 | history | answered | jeremy | CC BY-SA 2.5 |