routon

English

Etymology

Blend of route +‎ quaternion. Named after Massachusetts Route 128.

Noun

routon (plural routons)

1. (mathematics) A 128-dimensional hypercomplex number.
   • 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:

     For completeness’ sake, we name the 2⁷-ions too, dubbing them Routons, after that legendary source of high-tech innovativeness, Route 128 of the “Massachusetts Miracle” that paralleled Silicon Valley’s on the “Left Coast” of this country.

   • 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 Access Networks”, in Symmetry, volume 14, number 3, MDPI AG, →DOI, →ISSN:

     According to the logic of doubling the dimensions on which Cayley–Dickson algebra is built, after quaternions the so-called 8D octonions (${\displaystyle \mathbb {O} }$—Octonions) can be obtained, followed by 16D sedenions, 32D pathions, 64D chingons, 128D routons, and 256D voudons.

   • 2023, Melanie Swan, Renato P. dos Santos, “Quantum Intelligence: Responsible Human-AI Entities”, in AAAI 2023 Spring Symposia, Socially Responsible AI for Wellbeing, March 27–29, 2023, USA, CEUR Workshop Proceedings, →DOI:

     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.

Synonyms

• centumduodetrigintanion

See also

• (mathematics):
  • octonion
  • sedenion
  • trigintaduonion
  • pathion
  • chingon
  • voudon