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sedenion

sedenion noun: a 16-dimensional nonalternative extension of an octonion with one real part and 15 imaginary parts, each a real multiple of a distinct, independent square root of −1.

Noun

sedenion (plural sedenions)

  1. A 16-dimensional nonalternative extension of an octonion with one real part and 15 imaginary parts, each a real multiple of a distinct, independent square root of −1.
    • 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...
    • 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...
    Synonyms:
    hexadecanion

Synonyms of sedenion

Forms of sedenion

pluralsedenions

Origin of sedenion

Blend of Latin sēdecim (“sixteen”) + quaternion.

Words formed from sedenion

Questions about sedenion

What does sedenion mean?
Sedenion means a 16-dimensional nonalternative extension of an octonion with one real part and 15 imaginary parts, each a real multiple of a distinct, independent square root of −1.
What part of speech is sedenion?
Sedenion is a noun.
What is the plural of sedenion?
The plural of sedenion is sedenions.

Words near sedenion in the dictionary

  1. sedecillions
  2. sedecimal
  3. sedecimarticulate
  4. sedecuple
  5. Sedelsberg
  6. sedenion
  7. sedenionic
  8. sedenions
  9. Sedeno
  10. Sedenos
  11. sedent

Source and license

Adapted from Wiktionary: sedenion (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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Cite this entry: “sedenion.” Word.ws, https://word.ws/sedenion. Based on Wiktionary, CC BY-SA 4.0.