The Menger sponge, also known as the Menger cube, the Menger universal curve, the Sierpinski cube or the Sierpinski sponge, is a fractal curve and 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 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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Entity-backed identity for the object-kind enum value this mathematical object already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The object-kind fact itself stays on the object unchanged.
Sources
1. Wikipedia: Menger sponge
Introduction, sentence 2
It was first described by Karl Menger in 1926, in his studies of the concept of topological dimension.
Introduction, sentence 1
In mathematics, the Menger sponge (also known as the Menger cube, Menger universal curve, Sierpinski cube, or Sierpinski sponge) is a fractal curve.
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