Quartet

Same parameters, but with angle of superiteration near PI / 4

And let there be color ...

Well, not so colorized, but just add some red outlines.
Pretty isn'it ?

Superiteration 2.0

So first previous image was with only one level of superiteration : here is the version 2.0 (superiteration 2). Notice the transparent concentration effects.

Superiteration

As title means it : at each iteration / contraction, let be a new iterator, with augmented contractive ratio and angle.
Code : redesign is now needed. Let's use XOTcl for objects and classes, and let's define iterator, superiterator, shape, svg renderer ...

But first let's play with shapes and parameters ...

First image

Say it, get it. Basic.
Code : imperative, raw, and so many things hardcoded.
Next : iterate on iterators.

Planning

Howto :

• I love Tcl, so I've got my generative tool :-)
• I want to use vector shapes, so use SVG. As for display tool, use Inkscape.
• Maths ? For the moment, basic contractive mapping : take a circle, translate it, rotate it, scale it down, and iterate.
  

Inspiration

Abstract : Mandelbrot reconstruction, and beyond.

More precisely :
- Mandelbrot set is beautifull, but uncontrollable. You have to iterate z2 + c.
- Mandelbrot set is rasterized : compute each pixel, and let the brain rebuild the shape
- Mandelbrot set is limited : despite the variety of shapes and coloring algorithm, you find always the same contracting pattern.

So why not create a new kind of generative code to push the enveloppe ...

Fractalyze 0.0

Birth. Every story has a beginning, so let's do it