Word.ws English Dictionary

octonion

UK/ɒkˈtəʊ.ni.ən/US/ɑkˈtoʊ.ni.ən/

octonion noun: 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).

Noun

octonion (plural 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.2022, Zlatka Valkova-Jarvis, Vladimir Poulkov, Viktor Stoynov, Dimitriya Mihaylova, Georgi Iliev, “A Method for the Design of Bicomplex Orthogonal DSP Algorithms for Applications in Intelligent Radio...
    • There is no theoretical limit to multispace dimensional numbering as there are definitions for octonion (8D), sedenion (16D), pathion (32D), chingon (64D), routon (128D), and voudon (256D) numbered space.2023, Melanie Swan, Renato P. dos Santos, “Quantum Intelligence: Responsible Human-AI Entities”, in AAAI 2023 Spring Symposia, Socially Responsible AI for Wellbeing, March 27–29, 2023, USA, CEUR...

Forms of octonion

pluraloctonions

Origin of octonion

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

Words formed from octonion

Words that rhyme with octonion

48 more rhymesFewer rhymes

Questions about octonion

What does octonion mean?
Octonion means 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).
What part of speech is octonion?
Octonion is a noun.
How do you pronounce octonion?
Octonion is pronounced /ɒkˈtəʊ.ni.ən/ (UK).
What is the plural of octonion?
The plural of octonion is octonions.

Words near octonion in the dictionary

  1. octonaries
  2. octonarii
  3. octonarius
  4. octonary
  5. octonian
  6. octonion
  7. octonionic
  8. octonionically
  9. octonionics
  10. octonions
  11. octonocular

Source and license

Adapted from Wiktionary: octonion (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: “octonion.” Word.ws, https://word.ws/octonion. Based on Wiktionary, CC BY-SA 4.0.