TITLE:
2D Curves in Conformal Hyperquaternion Algebras H⊗2m
AUTHORS:
Grégoire Lutanda Panga
KEYWORDS:
Clifford Algebra, Hyperquaternion Algebra, Conformal Hyperquaternion Al-gebra
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.11 No.10,
October
23,
2023
ABSTRACT: The aim of this paper is to outline the conditions of a conformal hyperquaternion algebra H⊗2m in which a higher order plane curve can be described by generalizing the well-known cases of conics and cubic curves in 2D. In other words, the determination of the order of a plane curve through n points and its conformal hyperquaternion algebra H⊗2m is the object of this work.