How was this 3D abstract art generated?
This 3D abstract art fractal was generated using Apophysis 2.08 (3D Hack). This fractal is an experiment with hemisphere, linear, and julian transform variations. Hemisphere transform variations were used to model each individual sphere, and linear transform variations were used to essentially duplicate arrangement of the spheres in horizontal (x) and vertical (y) directions. In this case, the texture of each sphere became a simple matter of duplicating each hemisphere transform, removing pre-blur, and setting the transform visibility to invisible. Additionally, Xaos settings were used to further manipulate space (in this case, 3D spheres) by fine-tuning interactions between individual transforms (i.e. adjusting weight modifiers to/from transforms).
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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, it is called affine self-similar.Wikipedia
What is abstract art?
Abstraction indicates a departure from reality in depiction of imagery in art. This departure from accurate representation can be slight, partial, or complete. Abstraction exists along a continuum. Even art that aims for verisimilitude of the highest degree can be said to be abstract, at least theoretically, since perfect representation is likely to be exceedingly elusive. Artwork which takes liberties, altering for instance color and form in ways that are conspicuous, can be said to be partially abstract. Total abstraction bears no trace of any reference to anything recognizable. In geometric abstraction, for instance, one is unlikely to find references to naturalistic entities. Figurative art and total abstraction are almost mutually exclusive. But figurative and representational (or realistic) art often contain partial abstraction.Wikipedia