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Pronunciation varies by accent · noun
(mathematics) A 32-dimensional hypercomplex number that is a nonassociative extension of a sedenion..
Let’s expand our horizons to the 32-D and 64-D cases and give them names (since they currently don’t have any!). Following the convention adopted by Tony Smith, who has called the 2⁸-ions Voudons after the 256 deities of the Ifa pantheon of Voodoo or Voudon, we’ll call these Pathions (for the “32 Paths” of Kabbalah) and Chingons (for the 64 Hexagrams of the I Ching or Book of Changes).
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.
There is no theoretical limit to multispace dimensional numbering as there are definitions for octonion (8D), sedenion (16D), pathion (32D), chingon (64D), routon (128D), and voudon (256D) numbered space.
Use pathion when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Pathion means (mathematics) A 32-dimensional hypercomplex number that is a nonassociative extension of a sedenion..
Common synonyms include trigintaduonion.
The opposite depends on the specific sense.
Let’s expand our horizons to the 32-D and 64-D cases and give them names (since they currently don’t have any!). Following the convention adopted by Tony Smith, who has called the 2⁸-ions Voudons after the 256 deities of the Ifa pantheon of Voodoo or Voudon, we’ll call these Pathions (for the “32 Paths” of Kabbalah) and Chingons (for the 64 Hexagrams of the I Ching or Book of Changes).
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