Applications of dual quaternions to 2D geometry
Four-dimensional algebra over the real numbers / From Wikipedia, the free encyclopedia
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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 which we will call the planar quaternions.
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The planar quaternions make up a four-dimensional algebra over the real numbers.[1][2] Their primary application is in representing rigid body motions in 2D space.
Unlike multiplication of dual numbers or of complex numbers, that of planar quaternions is non-commutative.