pathion

Noun

pathion (plural pathions)

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 of the Ifa pantheon of Voodoo or Voudon, we’ll call these Pathions (for the “32...2002, Robert P. C. de Marrais, “Flying Higher Than a Box-Kite: Kite-Chain Middens, Sand Mandalas, and Zero-Divisor Patterns in the 2ⁿ-ions Beyond the Sedenions”, in arXiv, →DOI, page 7
   • 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.2022, Zlatka Valkova-Jarvis, Vladimir Poulkov, Viktor Stoynov, Dimitriya Mihaylova, Georgi Iliev, “A Method for the Design of Bicomplex Orthogonal DSP Algorithms for Applications in Intelligent Radio...

   Synonyms:

   trigintaduonion