Re: The Fractal Challenge

From: Roger Bagula (tftn_at_earthlink.net)
Date: 11/25/04 

Date: Thu, 25 Nov 2004 15:10:16 GMT

Most of this information was available.
The definition isn't clear to those who know nothing of
Klein groups, Møbius transforms and
half plane transforms.
It isn't a "linear" affine IFS, so defining circles
as this does , doesn't specify their transformations
An actual mathematical definition of the transforms that can be
"performed" is necessary.
Thus, a working program is preferred.
Dr . Mauldin gave a definition like this of the appolonian gasket:
It wasn't adequate for most people to construct a working program.
It was actually clearer than this one is!
If it was easy , it would already be on the Internet.
Roger Bagula wrote:

> Dear Dr. Edgar,
> That's the Dr. Monk data alright but the challenge was:
> "The fractal challenge is to reconstruct the IFS for the Pharoah's
> breast plate in translatable
> ( at least two recognized computer languages)
> Computer code."
>
> C++, Basic, Mathematica, MatLab, Maple...
> Any varifiable computer language that runs on more than one system.
>
> All I care about is that the method isn't lost.
> G. A. Edgar wrote:
>
>> In article <419E0393.7050102@earthlink.net>, Roger Bagula
>> <tftn@earthlink.net> wrote:
>>
>>
>>
>>> The cover of Mandelbrot's book " Multifractals
>>> and 1/f Noise" has the Pharoah's breast plate. (ref page 126-127 of
>>> this book)
>>> The original IFS of this was done by Dr. Monk, but he has lost the
>>> material and has only a vague idea of how to reconstruct it using 6
>>> transforms.
>>>
>>>
>>
>>
>> Interesting. Here it is...
>> http://www.math.ohio-state.edu/~edgar/BPlate/index.html
>>
>>
>>
> 

-- 
Respectfully, Roger L. Bagula
tftn@earthlink.net, 11759Waterhill Road, Lakeside,Ca 92040-2905,tel: 619-5610814 :
alternative email: rlbtftn@netscape.net
URL :  http://home.earthlink.net/~tftn

Relevant Pages

  • Re: The Fractal Challenge
    ... half plane transforms. ... It wasn't adequate for most people to construct a working program. ... Roger Bagula wrote: ... > (at least two recognized computer languages) ...
    (sci.nonlinear)
  • Re: The Fractal Challenge
    ... half plane transforms. ... It wasn't adequate for most people to construct a working program. ... Roger Bagula wrote: ... > (at least two recognized computer languages) ...
    (sci.math)
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