pathion

A 32-dimensional hypercomplex number that is a nonassociative extension of a sedenion.

Noun

  1. 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...
    • 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,...
    • 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. - 2023,...

Origin

Blend of path + quaternion. Named after the 32 paths of wisdom of Kabbalah.

Forms

pathions

Synonyms

trigintaduonion

Related

quaternion octonion sedenion chingon routon voudon