Timeline for The sequence $a_{n+1}=\left\lceil \frac{-1+\sqrt{5}}{2}a_{n}-a_{n-1} \right\rceil$ is periodic
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
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| Feb 5, 2016 at 8:21 | comment | added | Wolfgang | There are already so many lines... Yes indeed, there appear to be wedges of 2 kinds, both resembling to a pentagonal version of the Sierpinsky triangle, with the colored shapes being the "iterations" of a certain fractal. | |
| Feb 4, 2016 at 22:14 | comment | added | David E Speyer | Suggestion: Draw in the lines at $x=\tau y$ and $y = \tau x$, with $\tau = (1+\sqrt{5})/2$. I think that there are $10$ "wedges" which are permuted cyclically (the other boundaries are at $x=0$, $y=0$ and $x=-y$, which are already drawn. | |
| Feb 3, 2016 at 14:52 | history | answered | Wolfgang | CC BY-SA 3.0 |