Encyclopedia > Cantor dust

  Article Content

Cantor dust

Cantor dust, named after the mathematician Georg Cantor, is the diadic (two-dimensional) version of the Cantor set.

In the limit, starting from a square, this 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 triadic (three-dimensional) form of this is called the Menger sponge. An alternate diadic generalization of the Cantor set produces the Sierpinski carpet.

See also: fractal

All Wikipedia text is available under the terms of the GNU Free Documentation License

  Search Encyclopedia

Search over one million articles, find something about almost anything!
  Featured Article
Thomas a Kempis

... written in Latin, a French translation was made as early as 1447, which still remains in manuscript. The first printed French copies appeared at Toulouse ...

This page was created in 28.8 ms