Keller's conjecture

proper noun

The conjecture that, in any tiling of n-dimensional Euclidean space by identical hypercubes, there are two hypercubes that share an entire (n − 1)-dimensional face with each other.

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Meanings

proper noun
  1. geometryThe conjecture that, in any tiling of n-dimensional Euclidean space by identical hypercubes, there are two hypercubes that share an entire (n − 1)-dimensional face with each other.

Origin

The conjecture was introduced by Ott-Heinrich Keller (1930).

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Cite this entry
APA

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

MLA

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

Chicago

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

Source: Keller's conjecture on Wiktionary, CC BY-SA 4.0.