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Fractals are mathematical objects that typically have the following characteristics
Fractals often are associated with natural objects, such as the branchings of a tree, or the tributaries of a stream. A great deal has been written about fractals, and there are several web sites that deal exclusively with fractals (see our list of images on the web).
- a fine structure (detail on abitrarily small scales)
- too irregular to be described in traditional geometrical language, both locally and globally
- has some form of self-similarity, perhaps approximate or statistical
- its "fractal dimension" is greater than its topological dimension
- is defined in a very simple way, perhaps recursively.
- The cubic connectedness locus (CCL) is a four-dimensional analog of the familiar Mandelbrot set.
- Cloud simulations using spectral synthesis.
- The Henon map is a 2-dimensional generalization of the logistic equation.
- Amoeba Fractal
- An aperiodic tiling
- Antoine's Necklace
- Arbitrary substitution tiling
- Brot Cheese Fractal
- DodecaFoam! First Stellation
- DodecaFoam! Second Stellation
- DodecaFoam! Third Stellation
- Garden at Midday
- Garden at Sunset
- Nebula Fractal
- Plants on Island in Water
- Three Ring Circus
- Variety of Flowering Plants
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Created: Tue Feb 11 7:10:26 CST 1997
Last modified: Tue Feb 11 7:10:26 CST 1997
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