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
Metropolitan railway

... branches - the Uxbridge branch and the Northwood branch Uxbridge Branch (continuing from Harrow on the Hill) West Harrow[?] Rayners Lane[?] Eastcote[?] ...