The Geometry of the Dihedrons and Quaternions - Famous Math Problems
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Overview
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This course develops the geometry of Dihedrons, or split-quaternions, alongside the more familiar Quaternions. It examines their 2×2 matrix structure, determinant-based quadratic form, relativistic geometry, and connections with complex numbers and generalized dot and cross products.
Syllabus
Introduction
The geometry
Quaternions
Quaternions in 4D
relativistic quadratic form
Dihedron geometry
Dihedron geometry and complex numbers
Taught by
Insights into Mathematics