Re: Definition of a fractal
From: Roger L. Bagula (rlbtftn_at_netscape.net)
Date: 07/08/04
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Date: Thu, 08 Jul 2004 20:16:55 GMT
Dear Dr. Edgar,
Well, then we should change the FAQ.
I was going on my conversation with him
and the lecture he gave a UC Riverside
while he was visiting Dr. Lapidus.
He was unaware how popular a movement he had started
and felt isolated Mathematically from popular thought.
He also thought that no one Mathematical method was
worthy of being a basis for early education as fractals had been
in some places used in high schools to begin student in Mathematics.
Mostly he thought that fractals were being misused
and abused by some people in their publications.
I can't afford two copies of books... I usually stick with the older
version.
I wish I had had enough to buy your book on fractals and differential
processes. Mandelbrot maintains there is no connection of fractal
behavior and fractional differential processes like the allometric
process of Ludwig von Bertalanffy in General System Theory.
G. A. Edgar wrote:
>>Fractal is a word coined by Dr. Mandelbrot in his book.
>>He was and still is very positive about what it defined:
>>Curves that have fractional dimensional measure.
>>That is pretty much the "formal" definition.
>
>
> Look in the second printing of THE FRACTAL GEOMETRY
> OF NATURE (page 458-9) to see that Mandelbrot now regrets
> the definition he gave at first, and prefers to leave
> the term "fractal" without a pedantic definition.
>
-- Respectfully, Roger L. Bagula tftn@earthlink.net, 11759Waterhill Road, Lakeside,Ca 92040-2905,tel: 619-5610814 : URL : http://home.earthlink.net/~tftn URL : http://victorian.fortunecity.com/carmelita/435/
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