Sierpinski carpet

Noun

Meaning

Sierpinski carpet (plural Sierpinski carpets)

(mathematics) A plane fractal, a generalization of the Cantor set to two dimensions, formed by repeated subdivision of a square.

Source: en.wiktionary.org

Examples

6 steps of the Sierpinski carpet. Source: Internet

However, by the results of Whyburn mentioned above, we can see that the Wallis sieve is homeomorphic to the Sierpinski carpet. Source: Internet

However, in 1958 Gordon Whyburn citation uniquely characterized the Sierpinski carpet as follows: any curve that is locally connected and has no 'local cut-points' is homeomorphic to the Sierpinski carpet. Source: Internet

For example, the disjoint union of a Sierpinski carpet and a circle is also a universal plane curve. Source: Internet

In the same paper Whyburn gave another characterization of the Sierpinski carpet. Source: Internet

The complement of the large circles is becoming a Sierpinski carpet In nature Close-up of a Romanesco broccoli further Self-similarity can be found in nature, as well. Source: Internet

Close letter words and terms

sierozem Sierpc Sierpinski Sierpinski cube Sierpinski curve Sierpinski gasket