Sierpinski carpet [SEP] named after
Sierpinski carpet
The Sierpinski carpet is a plane fractal first described by Wacław Sierpiński in 1916. The carpet is one generalization of the Cantor set to two dimensions; another is the Cantor dust.
The technique of subdividing a shape into smaller copies of itself, removing one or more copies, and continuing recursively can be extended to other shapes. For instance, subdividing an equilateral triangle into four equilateral triangles, removing the middle triangle, and recursing leads to the Sierpinski triangle. In three dimensions, a similar construction based on
, who thought the fractal looked similar to "the part that prevents leaks in motors".
See also.
- Apollonian gasket, a set of mutually tangent circles with the same combinatorial structure as the Sierpinski triangle
- List of fractals by Hausdorff dimension
- Sierpinski carpet, another fractal named after Sierpinski and formed by repeatedly removing squares from a larger square
- Triforce, a relic in the Legend of Zelda series
External links.
- Sierpinski Gasket by Trema Removal at cut-the-knot