List of fractals by Hausdorff dimension
- List of fractals by Hausdorff dimension
A fractal is a geometric object whose Hausdorff dimension (δ) strictly exceeds its topological dimension. Presented here is a list of fractals ordered by increasing Hausdorff dimension, with the purpose of visualizing what it means for a fractal to have a low or a high dimension.
Deterministic fractals
Random and natural fractals
See also
* Fractal dimension
* Hausdorff dimension
* Scale invariance
Notes
References
* 1Kenneth Falconer, "Fractal Geometry", John Wiley & Son Ltd; ISBN 0-471-92287-0 (March 1990)
Further reading
* Benoît Mandelbrot, "The Fractal Geometry of Nature", W. H. Freeman & Co; ISBN 0-7167-1186-9 (September 1982).
*Heinz-Otto Peitgen, "The Science of Fractal Images", Dietmar Saupe (editor), Springer Verlag, ISBN 0-387-96608-0 (August 1988)
*Michael F. Barnsley, "Fractals Everywhere", Morgan Kaufmann; ISBN 0-12-079061-0
*Bernard Sapoval, « Universalités et fractales », collection Champs, Flammarion.
External links
* [http://mathworld.wolfram.com/search/?query=fractal The fractals on Mathworld]
* [http://local.wasp.uwa.edu.au/~pbourke/fractals/ Other fractals on Paul Bourke's website]
* [http://soler7.com/Fractals/FractalsSite.html Soler's Gallery]
* [http://www.mathcurve.com/fractals/fractals.shtml Fractals on mathcurve.com]
* [http://1000fractales.free.fr/index.htm 1000fractales.free.fr - Project gathering fractals created with various softwares]
* [http://library.thinkquest.org/26242/full/index.html Fractals unleashed]
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