Types
There are many different kinds of fractal images and can be subdivided into several groups.
- Fractals derived from standard geometry by using iterative transformations on an initial common figure like a straight line (the Cantor dust or the von Koch curve), a triangle (the Sierpinski triangle), or a cube (the Menger sponge). The first fractal figures invented near the end of the 19th and early 20th centuries belong to this group.
- IFS (iterated function systems).
- Strange attractors.
- Fractal flame.
- L-system fractals.
- Fractals created by the iteration of complex polynomials: perhaps the most famous fractals.
- Newton fractals, including Nova fractals
- Quaternionic and (recently) hypernionic fractals
- Fractal terrains generated by random fractal processes.
Fractal expressionism is a term used to differentiate traditional visual art that incorporates fractal elements such as self-similarity for example. Perhaps the best example of fractal expressionism is found in Jackson Pollock's dripped patterns. They have been analysed and found to contain a fractal dimension which has been attributed to his technique.
Read more about this topic: Fractal Art
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—Camille Paglia (b. 1947)
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