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Cantor dust - Definition and Overview |
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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
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