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geometry > geometric figure > fractal > Menger sponge
geometry > topological space > Menger sponge

Preferred term

Menger sponge  

Definition

  • In mathematics, the Menger sponge (also known as the Menger cube, Menger universal curve, Sierpinski cube, or Sierpinski sponge) is a fractal curve. It is a three-dimensional generalization of the one-dimensional Cantor set and two-dimensional Sierpinski carpet. It was first described by Karl Menger in 1926, in his studies of the concept of topological dimension.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Menger_sponge)

Entry terms

  • Menger cube

In other languages

URI

http://data.loterre.fr/ark:/67375/PSR-K4XD50MX-Z

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RDF/XML TURTLE JSON-LD Created 7/18/23, last modified 7/18/23