How was this fractal piano art generated?
This 3D fractal piano art was generated in Apophysis 3D, a freeware fractal flame generator. Simple sinusoidal transforms were used to generate the piano keys, while variations of other fractal transforms were used to generate the patterns and special light effects.
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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
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Is music a fractal?
Some music, like that of Bach and Mozart, contains fractal structure in that it can be “decomposed into small units each of which reflects the structure as a whole.” The Hsus say that at least some music has fractal form in that fundamental musical patterns in it persist, even if notes are added or removed.NewScientist