[seqfan] Re: Spiral generated from A001045 a(n) = a(n-1) + 2*a(n-2)

Dale Gerdemann dale.gerdemann at gmail.com
Wed Dec 24 03:27:02 CET 2014


Hello Seqfans,

It seems obvious once you see it, but I didn't realize that one part of the
picture can be rotated to fit into the other like a puzzle piece. I made a
very short video to show what I mean:
https://www.youtube.com/watch?v=6k6V5TnGrVk

On Tue, Dec 23, 2014 at 12:10 PM, Dale Gerdemann <dale.gerdemann at gmail.com>
wrote:

> Hello Ed, Hello Seqfans,
>
> Yes, it looks a bit like the golden spiral. But I rather doubt that it is
> the same since it was generated from a recurrence other than the Fibonacci
> recurrence. So I wouldn't expect the golden ratio to play a role.
>
> Dale Gerdemann
>
> On Tue, Dec 23, 2014 at 3:50 AM, L. Edson Jeffery <lejeffery2 at gmail.com>
> wrote:
>
>> >Is this perhaps a well known, well studied spiral?
>>
>> Dale, it looks kind of like the golden spiral:
>>
>> http://mathworld.wolfram.com/GoldenSpiral.html
>>
>> Ed Jeffery
>>
>> _______________________________________________
>>
>> Seqfan Mailing list - http://list.seqfan.eu/
>>
>
>



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