routon

R1O1U1T1O1N1

noun

A 128-dimensional hypercomplex number.

Scrabble 6

Meanings

routon1

nounrouton (plural routons)

plural routons

  1. mathematicsA 128-dimensional hypercomplex number.

    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, 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
    2 more examples

    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.

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

Routon2

proper nounRouton (plural Routons)

plural Routons

Origin

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

Full word history & related roots →

Rhymes & wordplay

Anagrams

Cite this entry
APA

routon. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/routon

MLA

“routon.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/routon. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “routon,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/routon.

Source: routon on Wiktionary, CC BY-SA 4.0.