Euler characteristic

noun

The sum of even-dimensional Betti numbers minus the sum of odd-dimensional ones.

“A polygon's or polyhedron's Euler characteristic is just the number of corners minus the number of edges plus the number of faces.”

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Meanings

nounEuler characteristic (plural Euler characteristics)

plural Euler characteristics

  1. mathematicsThe sum of even-dimensional Betti numbers minus the sum of odd-dimensional ones.

    A polygon's or polyhedron's Euler characteristic is just the number of corners minus the number of edges plus the number of faces.

Cite this entry
APA

Euler characteristic. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Euler%20characteristic

MLA

“Euler characteristic.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Euler%20characteristic. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Euler characteristic,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Euler%20characteristic.

Source: Euler characteristic on Wiktionary, CC BY-SA 4.0.