Meanings
nounMenger sponge (plural Menger sponges)
plural Menger sponges
- mathematicsA 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.
Origin
First described by Karl Menger in 1926.
Full word history & related roots →Cite this entry
APA
Menger sponge. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Menger%20sponge
MLA
“Menger sponge.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Menger%20sponge. Accessed November 4, 2026.
Chicago
WatkinsX Dictionary, s.v. “Menger sponge,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Menger%20sponge.
Source: Menger sponge on Wiktionary, CC BY-SA 4.0.