Word.ws English Dictionary

octonions

octonions is the plural of octonion.

Meaning of octonion

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...

Questions about octonions

What is octonions the plural of?
Octonions is the plural of octonion.

Words near octonions in the dictionary

  1. octonian
  2. octonion
  3. octonionic
  4. octonionically
  5. octonionics
  6. octonions
  7. octonocular
  8. octonucleate
  9. octoon
  10. octopal
  11. octopamine

Source and license

Adapted from Wiktionary: octonions (page history and authors); 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.

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Cite this entry: “octonions.” Word.ws, https://word.ws/octonions. Based on Wiktionary, CC BY-SA 4.0.