Word.ws English Dictionary

Menger sponge

Menger sponge noun: a 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.

menger sponge: a fractal curve, a three-dimensional generalization of the Cantor set and Sierpinski carpet, formed...
Image: Niabot, CC BY 3.0, via Wikimedia Commons

Noun

Menger sponge (plural Menger sponges)

  1. A 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.

Forms of Menger sponge

pluralMenger sponges

Origin of Menger sponge

First described by Karl Menger in 1926.

Questions about Menger sponge

What does Menger sponge mean?
Menger sponge means a 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.
What part of speech is Menger sponge?
Menger sponge is a noun.
What is the plural of Menger sponge?
The plural of Menger sponge is Menger sponges.

Words near Menger sponge in the dictionary

  1. Mengels
  2. Mengen
  3. mengenillid
  4. mengenillids
  5. Menger
  6. Menger sponge
  7. Menger sponges
  8. Menger's theorem
  9. Mengerian
  10. Mengerink
  11. Mengerinks

Source and license

Adapted from Wiktionary: Menger sponge (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

Last updated:

Cite this entry: “Menger sponge.” Word.ws, https://word.ws/menger_sponge. Based on Wiktionary, CC BY-SA 4.0.