I'm new to the world of fractals. I understand that the colouring which makes them so beautiful is more or less arbitrarily assigned to the escape values of the iterations of the Mandelbrot function (I don't understand the math or the technical terms) and that the number of iterations is also arbitrarily chosen, and that the detail gets finer if the number of iterations is increased. I'd like to know if anyone has found a "natural" or naturally occurring colour system with which to map the colours? For instance, the wavelengths of the spectrum of the colours visible to the human eye. The Mandelbrot looks to me very much like the signature of a super-consciousness hiding in the mathematics, but if there is such a signature the colouring that makes it visible can't be random, or at the whim of whoever is running the program. I'd appreciate hearing about any research that might have been done into this. On Sat, 13 Aug 2022 at 21:28, Harold Lane <hallane@earthlink.net> wrote:
Albrecht's "The New Mandelbrot" was created using his multifractal_12 (MFR) formula.
Below are the "shortlinks" I created to his image and its PAR file on my server.
Here's Albrecht's suburb alternate Mandel: I especially like the "gold dust" sprinkled throughout his New Mandelbrot! https://bit.ly/50205-53-GIF
Here's its PAR file -- complete with the multifractal_12 formula: https://bit.ly/50205-53-PAR
- Hal Lane
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