POV-Ray : Newsgroups : povray.binaries.images : Fibonacci Mosaics (151KB & 145KB) : Re: Fibonacci Mosaics (151KB & 145KB) Server Time
28 Apr 2024 06:27:55 EDT (-0400)
  Re: Fibonacci Mosaics (151KB & 145KB)  
From: Ron Parker
Date: 8 Sep 2000 10:47:40
Message: <slrn8rhvp0.19a.ron.parker@fwi.com>
On Thu, 07 Sep 2000 22:12:32 -0500, David Fontaine wrote:
>Tor Olav Kristensen wrote:
>
>> It's also interesting to see how well the curves
>> in the Fibonacci pattern follows the edges of the
>> flower's leafs.
>
>Yeah, there's probably 1000 different places you could find the golden
>ratio or a Fibannochi number on a single plant...

You realize, of course, that there's a relationship between the two.

If F(n) is the n'th Fibonacci number, then 

  lim    F(n)/F(n-1) = phi      
n -> oo 

(where "oo" should be taken as a low-resolution version of the symbol for
infinity.)

-- 
Ron Parker   http://www2.fwi.com/~parkerr/traces.html
My opinions.  Mine.  Not anyone else's.


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