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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.
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