On Dual Type Octonions and Their Properties

Year 2025, Volume: 17 Issue: 1, 93 - 101, 30.06.2025

Ali Dağdeviren , Ferhat Kuruz

https://doi.org/10.47000/tjmcs.1590392

Abstract

In this study, we will define dual-type octonions by drawing inspiring from dual quaternions and Galilean geometry. Besides giving the basic properties of dual-type octonions and defining isotropic and non-isotropic dual-type octonions, we present Euler's and De Moivre's formulas for dual-type octonions. Finally, we give a matrix representation of dual-type octonions.

Keywords

Octonions , dual-type octonions , Euler’s formula , De-Moivre formula , Galilean Geometry5

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