Applications of dual quaternions to 2D geometry: Difference between revisions

Revision as of 15:53, 30 June 2022

Revision as of 15:54, 30 June 2022

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In this article, we discuss certain applications of the [[dual quaternion]] algebra to 2D geometry. At this present time, the article is focused on a 4-dimensional subalgebra of the dual quaternions. Its primary application is in representing [[rigid body motion|rigid body motions]] in 2D space.

Unlike multiplication of [[dual number]]s or of [[complex number]]s, that of dual-complex quaternions numbers is [[non-commutative]].

== Definition ==