# Tag Archive: Small Image

Aug 18 2011

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!)

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

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 is based on a variation of the formula for Newton’s method applied to x^3 = 1.

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.