octonion

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octonion

  • /ɒkˈtəʊ.ni.ən/ UK
  • /ɑkˈtoʊ.ni.ən/ US

Rhymes with -əʊniən

Where it comes from

Blend of Latin octō (“eight”) + quaternion.

noun octonions

  1. An 8-dimensional nonassociative extension of a quaternion with a real part and 7 imaginary parts (each a real multiple of a distinct square root of −1). According to the logic of doubling the dimensions on which Cayley–Dickson algebra is built, after quaternions the so-called 8D octonions (#92;mathbbO—Octonions) can be obtained, followed by 16D sedenions, 32D pathions, 64D chingons, 128D routons, and 256D voudons.

Translations

Every language

noun nonassociative extension of a quaternion

Españoloctonión
Françaisoctonion
DeutschOktave, Oktonion
Italianoottonione, ottetto
Русскийоктонио́н oktonión

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Cite this
MLA

"octonion." Wiktionary, via Micwyn, micwyn.com/word/octonion. Accessed 6 Nov. 2026.

APA

octonion. (n.d.). In Wiktionary, via Micwyn. Retrieved November 6, 2026, from https://micwyn.com/word/octonion

Chicago

"octonion." Wiktionary, via Micwyn. Accessed November 6, 2026. https://micwyn.com/word/octonion.

BibTeX
@misc{octonion_2026,
  title = {octonion},
  howpublished = {Wiktionary, via Micwyn},
  year = {2026},
  url = {https://micwyn.com/word/octonion},
  urldate = {2026-11-06}
}