“Dreamweaver” – Fractal Animation in Chaotica

“Dreamweaver” is a procedural fractal animation using the animation editor in Chaotica.

How was the “Dreamweaver” animation generated?

The “Dreamweaver” animation was generated using Chaotica, a fractal generator that allows the user complete control over color dynamics, animation, and fractal iterations. The freeware version has limitations on resolution and animation length, but it is still excellent.

What are fractals?

In mathematics, a fractal is a self-similar subset of Euclidean space whose fractal dimension strictly exceeds its topological dimension. Fractals appear the same at different levels, as illustrated in successive magnifications of the Mandelbrot set; because of this, fractals are encountered ubiquitously in nature.

Fractals exhibit similar patterns at increasingly small scales called self similarity, also known as expanding symmetry or unfolding symmetry; if this replication is exactly the same at every scale, as in the Menger sponge,[5] it is called affine self-similar.

Wikipedia

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Dreamweaver XML Data

Copy and paste the below XML into Chaotica to play with the fractal and generate your own art! Leave a comment and a link if you made your own art with my XML data.

612 668 2 1 0 strong 37.4 0 0.015 1.3877787807814457e-17 1 false 3.209999999999999 0.9299999999999999 false 0.10299999999999976 0.1 0 0.16666663 0.5151515 0.75757575 1 0 0.106060565 0.41919193 0.7777778 1 1 1 0 0 0 1 1 0 0 0 1 1 1 1 30 30 0.0333 uniform 1.5 0 0 8 144.729065726504 1 -104.05097632455336 1 0 4.9666667 10.366667 15.7 20.533333 26 30 0.04583003 -0.25820777 1.9195231 0.9150522 -1.0730253 1.2011923 -1.3412817 -0.7481371 0.3219076 -1.195231 0.95976156 -0.67660207 0.04583003 -0.25820777 0 0 0 0 0 0 1 1 0 0 0 0 0 0 mobius 1 0.16078519479001374 0.8081075090410051 -0.46025310167156414 0.02255030826721587 1.0262153611896405 0.2932118134525356 -1.0091049350903907 0.33677391097144005 bubble 1.0116845278706483 curl 0.8399589638706002 0.28231582104749986 -1.0321967629707922 mobius 1 -1.0091049350903907 0.33677391097144005 0.46025310167156414 -0.02255030826721587 -1.0262153611896405 -0.2932118134525356 0.16078519479001374 0.8081075090410051 0.5493139711855693 0.18552238242586166 1 1 1 1 1 1 1.0643391276937912 1.4694565881167203 1.812116670156773 1 18.834298305014666 1 112.96057013892195 1 -0.01243482249566883 -0.43065613037649586 mobius ¨C11C linear ¨C12C mobius ¨C13C 0.22715460369454743 0.1581115536441785 1 ¨C14C 1 1.7752662579487462 6.860023096249674 1.404735362167856 1 -46.4440003730142 0.9999999999999999 63.15013320230004 1 ¨C15C ¨C16C ¨C17C ¨C18C mobius ¨C19C curl ¨C20C mobius ¨C21C 0.8478198978607141 0.412330403851925 1 ¨C22C 1 1.0653210776900757 4.318469668154148 1.0381671573096758 1 ¨C23C

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