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Cantor DustCantor 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
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