POV-Ray : Newsgroups : povray.binaries.images : Greg's mandels answering Warp on color differentiation vs. structure complexity : Greg's mandels answering Warp on color differentiation vs. structure complexity Server Time
19 Aug 2024 14:13:09 EDT (-0400)
  Greg's mandels answering Warp on color differentiation vs. structure complexity  
From: Greg M  Johnson
Date: 15 Nov 2000 13:30:57
Message: <3A12D505.1815CAD8@my-dejanews.com>
I had claimed that (until you hit a wall with precision) a fractal like
a Mandelbrot or perhaps a Julia would have infinite complexity to its
structure as one zoomed to higher and higher levels.

I argued that the parameter following the word mandel in the pigment
term --the "max iterations" merely determined the number of color levels
the pattern was divided into, NOT the actual complexity of the
structure. Here is my proof.

Four images, all with exactly the same scene file.  The only thing that
was changed was the iterations and the camera angle (effective zoom).

We have below
  mandel 30  iterations    camera angle 0.0002 //(200ppm)
  mandel 30  iterations    camera angle 0.02   //(20000ppm)
  mandel 300 iterations    camera angle 0.0002 //(200 ppm)
  mandel 300 iterations    camera angle 0.02   //(20000ppm)

The complexity of the structure doesn't change with changing the max
interations.  One's ability to see **some** of the finer detail does,
however.  He had confused these two concepts.

In Warp's Julia forest scene,  the complexity of the structure
determines the fineness of his "trees" and the max iterations parameter
determines the number of demarcations in tree height.


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30colors200ppm.jpg

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Preview of image '300colors20000ppm.jpg'
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