Zeckendorf's theorem

proper noun

A theorem stating that every positive integer can be represented uniquely as the sum of one or more distinct Fibonacci numbers in such a way that the sum does not include any two consecutive Fibonacci numbers.

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Meanings

proper noun
  1. mathematicsA theorem stating that every positive integer can be represented uniquely as the sum of one or more distinct Fibonacci numbers in such a way that the sum does not include any two consecutive Fibonacci numbers.

Origin

Named after Belgian mathematician Edouard Zeckendorf.

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Cite this entry
APA

Zeckendorf's theorem. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Zeckendorf's%20theorem

MLA

“Zeckendorf's theorem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Zeckendorf's%20theorem. Accessed November 4, 2026.

Chicago

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

Source: Zeckendorf's theorem on Wiktionary, CC BY-SA 4.0.