Octonion
//ɒkˈtəʊ.ni.ən// noun
noun ·Rare ·Advanced level
Definitions
Noun
- 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."
Example
More examples"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."
Etymology
Blend of Latin octō (“eight”) + quaternion.
Related phrases
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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.