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Octonion |
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The octonions are a non-associative extension of the quaternions.
They were discovered by John T. Graves[?] in 1843, and independently by Arthur Cayley[?], who published the first paper on them in 1845.
They are sometimes referred to as Cayley numbers or the Cayley algebra.
The octonions form an 8-dimensional algebra over the real numbers, and can therefore be thought of as octets of real numbers. Every octonion is a real linear combination of the unit octonions 1, e1, e2, e3, e4, e5, e6 and e7, the multiplication table for which looks as follows.
See also Hypercomplex numbers. External links:
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