Science Fair Project Encyclopedia
Cantor dust
Cantor dust, named after the mathematician Georg Cantor, is the two-dimensional version of the Cantor set.
In the limit, starting from a square the construction produces a set with an infinite number of square sections each having zero area — the sum of all areas also decreases to zero in the limit.
The three-dimensional form of this is called the Menger sponge. An alternate generalization of the Cantor set produces the Sierpinski carpet.
See also: fractal
10-26-2009 08:16:03
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The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details