Sedenion

noun

noun ·Rare ·Advanced level

Definitions

Noun
  1. 1
    A 16-dimensional nonalternative extension of an octonion with one real part and 15 imaginary parts, each a real multiple of a distinct, independent 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."

Synonyms

All synonyms
hexadecanion

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 sēdecim (“sixteen”) + quaternion.

Related phrases

square root

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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.