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Etymology

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First described by Karl Menger in 1926.

Noun

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Menger sponge (plural Menger sponges)

 
An illustration of M4, the sponge after four iterations of the construction process
  1. (mathematics) A fractal curve, a three-dimensional generalization of the Cantor set and Sierpinski carpet, formed by repeated subdivision of a cube, and having infinite surface area and zero volume.