[seqfan] Re: Recaman Video
graememcrae at gmail.com
Fri May 24 01:24:53 CEST 2013
That second video is private, Dale.
On Thu, May 23, 2013 at 7:00 AM, Dale Gerdemann <dale.gerdemann at gmail.com>wrote:
> Dear Seqfans,
> I've jut put a video on YouTube which should be of general interest here.
> I've been playing around with Fibonacci Word Fractals for about half a
> year now and have left a rather messy record of vides on YouTube, Recently
> it occurred to me that the Fibonacci word was not necessary for the
> construction of these fractals. One could just as well use a slightly
> modified Zeckendorf representation, looking at the positions of the least
> significant non-zero digits. This raises the possibility of making
> fractals, or at least interesting images, for any sequence that can somehow
> be used for a numeration system. I chose to try this idea out with the
> Recaman sequence since it is well known and has a quirky definition which
> would suggest some difficulty. I tried one other odd sequence and got a a
> very nice wire-sculpture kind of result:
> The sequence used was: a(n) = 5*a(n-1) - n/2 (where the division is integer
> division, throwing away the remainder.
> A while back, Neil wrote that he was working on a math museum. Perhaps the
> kind of turtle graphics on steroids that I've been working on would be fun
> for young museum visitors). In any case, I'm not selling anything, I don't
> make money from the videos and I'm willing to give away what I've got if
> Neill is at all interested.
> Dale Gerdemann
> Seqfan Mailing list - http://list.seqfan.eu/
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