Menger sponge

Also known as Menger universal curve, Menger cube, Sierpinski sponge

3d fractal

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An illustration of M4, the sponge after four iterations of the construction process In mathematics, the Menger sponge (also known as the Menger cube, Menger universal curve, Sierpiński cube, or Sierpiński sponge) is a fractal curve. It is a three-dimensional generalization of the two-dimensional Sierpinski carpet. It was first described by Karl Menger in 1926, in his studies of the concept of topological dimension.

It has similar properties as the Cantor set and the Cantor dust, because the construction requires in both cases the removal of the inner third.