This reminds me vaguely of those diagrams we all saw in school of the auditory canal. It is a Julia set of a rational functions (probably some version of 1/(x^2 + a) + b. I still can’t save these parameter files, though! (Maybe next week!)

# Tag Archive: Small Image

Aug 18 2011

## Spiny Newton

…not to be confused with “Spiny Norman” of Monty Python fame. It isn’t hard to tell the difference. Spiny Newton is a fractal and Spiny Norman is a 50 foot high hedgehog.

This is another preview of the next version of Fractal Domains. I still haven’t implemented saving these fractals as a parameter …

Aug 18 2011

## Hypnotic Chain

This is another preview of the next version of Fractal Domains. Since I still haven’t implemented saving these fractals as a parameter file (soon, I promise!), I can’t reproduce this. This is a Julia set of some rational function with angular decomposition. Even and odd dwell regions are rendered with separate color maps.

Aug 18 2011

## Rainbow Swirl

This is another preview of the next version of Fractal Domains. Since I still haven’t implemented saving these fractals as a parameter file (soon, I promise!), I can’t reproduce this. (Actually, I think I can remember how I did this one, so you may see a parameter file for it when Fractal Domains …

Aug 18 2011

## Crescents

This is another preview of the next version of Fractal Domains. Since I still haven’t implemented saving these fractals as a parameter file, I can’t reproduce this. This is a Julia set with the “stalk” option turned on, but I can’t even remember the nature of the function (I should start writing these …

Aug 18 2011

## Bands

This is another preview of the next version of Fractal Domains. Since I still haven’t implemented saving these fractals as a parameter file, I can’t reproduce this. It’s some sort of Julia set, almost certainly based on a Newton’s method-like formula. Angular decomposition was chosen as the “dwell method” and an even/odd region …

Aug 18 2011

## Filigree

Aug 18 2011

## Attack of the Rainbows

This is another one by my stepdaughter Ronda. (She chose the title, also.) It is a portion of the Mandelbrot Set with the stalk options, and a regions split by dwell value. She had it with “Trap Interior Points” turned off so you could see the Mandelbrot members, and prefers it that way, …

Aug 18 2011

## Illuminated Spheres III

This is a part of a Julia set with a circular orbit trap.

Downloads

Aug 18 2011

## Jungle Flower

This is a part of the Mandelbrot set with the “stalks” option turned on. Points with low iteration counts are excluded from the orbit trap test. This removes some large stalks that would have obscured the finer detail.

Downloads