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An image that accompanies this article will show two sets of quaternions that represent two different types of spaces - Cartesian and Octonionic.

Ask AI: If quaternions represent Cartesian space but octonions do not, why ?

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Question: If quaternions represent Cartesian space but octonions do not, why ?

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Octonions are non-associative, meaning that when operating with them, expressions don't always produce the same result when the order of the operands change. This makes them difficult to work with and unsuitable for representing Cartesian space which relies on commutative and associative operations.

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Published: Friday, December 16, 2022

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