## Fractals, Chaos, Self-SimilarityThe following is a collection of fractal, chaos and attractors by the author. It includes most known formulations, including but not limited to L-Systems, IFS (Iterated Function Systems), attractors and both 2D and 3D geometric fractals. Also included are a number of numerical solutions for computing dimensionality and other metrics.
Random space filling of the plane
DLA (Diffusion Limited Aggregation) Fractal forms found by using Google Earth. The geometric beauty of leaves. Time exists so that not everything happens at once.
Rendering Wada-type basins of attraction
Fractal Dimension and Self Similarity --
Box counting fractal dimension of volumetric data --
Box counting fractal dimension of point data I wonder whether fractal images are not touching the very structure of our brains. Is there a clue in the infinitely regressing character of such images that illuminates our perception of art? Could it be that a fractal image is of such extraordinary richness, that it is bound to resonate with our neuronal circuits and stimulate the pleasure I infer we all feel?
Volumetric fractals --
Visualising volumetric fractals --
3D volumetric fractal trajectories
Noise
Polyhedral fractals
IFS (Iterated Function Systems)
L-Systems (Lindenmayer Systems) I could be bounded in a nutshell and count myself a king of infinite space.
The Pale Blue Dot from Space - Earth. "That's here. That's home. That's us. On it everyone you love, everyone you know, everyone you ever heard of, every human being who ever was, lived out their lives. The aggregate of our joy and suffering, thousands of confident religions, ideologies and economic doctrines, every hunter and forager, every hero and coward, every creator and destroyer of civilization, every king and peasant, every young couple in love, every mother and father, hopeful child, inventor and explorer, every teacher of morals, every corrupt politician, every superstar, every supreme leader, every saint and sinner in the history of our species lived there - on a mote of dust suspended in a sunbeam."
Contributions by Gayla Chandler Fractals: A Symmetry Approach Gasket Photography
Why is the winner of the Miss Universe contest always from planet Earth?
Other ... Colouring Attractors Fractals and Computer Graphics (Historic interest only) Introduction to fractals (Historic interest only)
In any field, find the strangest thing and then explore it.
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