Usually means: Eight-dimensional, non-associative algebra extension.
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We found 6 dictionaries that define the word octonion:

General (3 matching dictionaries)
  1. octonion: Wordnik
  2. octonion: Wiktionary
  3. Octonion: Wikipedia, the Free Encyclopedia

Computing (1 matching dictionary)
  1. Octonion: Encyclopedia

Science (2 matching dictionaries)
  1. Octonion: Eric Weisstein's World of Mathematics
  2. octonion: PlanetMath Encyclopedia

Definitions from Wiktionary (octonion)

noun:  (mathematics) 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).

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