The Menger sponge, also known as the Menger cube, the Menger universal curve, the Sierpiński cube or the Sierpiński sponge, is a fractal curve and a three-dimensional generalization of the two-dimensional Sierpiński carpet. It was first described by Karl Menger in 1926 in his studies of the concept of topological dimension. It shares properties with the Cantor set and Cantor dust, since its construction requires removing the inner third of each remaining piece at every step, the same operation used to build those two sets.
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Menger Sponge
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It was first described by Karl Menger in 1926, in his studies of the concept of topological dimension.
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In mathematics, the Menger sponge (also known as the Menger cube, Menger universal curve, Sierpiński cube, or Sierpiński sponge) is a fractal curve.
Attributed To: Karl Menger, Lead sentence, attribution
first described by Karl Menger in 1926
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Principal Result Of: Karl Menger, Article textQuote, Principal Result Of: Karl Menger, Article text
His most famous popular contribution was the Menger sponge (mistakenly known as Sierpinski's sponge), a three-dimensional version of the Sierpiński carpet.
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