YoVDO

The Geometry of the Dihedrons and Quaternions - Famous Math Problems

Offered By: Insights into Mathematics via YouTube

Tags

Geometry Courses Determinants Courses Quaternion Courses Dot Product Courses Cross Product Courses Relativistic Geometry Courses

Course Description

Overview

Explore the fascinating geometry of Dihedrons and Quaternions in this 39-minute mathematics lecture. Delve into the rich mathematical structure of these algebras, comparing their similarities and differences. Discover how Dihedrons relate to 2x2 matrices and their fundamental quadratic form. Investigate the connections to relativistic geometry and generalized dot and cross products. Gain insights into the historical development of these concepts and their potential applications in modern mathematics and physics.

Syllabus

Introduction
The geometry
Quaternions
Quaternions in 4D
relativistic quadratic form
Dihedron geometry
Dihedron geometry and complex numbers


Taught by

Insights into Mathematics

Related Courses

How Chromogeometry Transcends Klein's Erlangen Program for Planar Geometries - N J Wildberger
Insights into Mathematics via YouTube
Isometry Groups in Planar Geometry - WildTrig: Intro to Rational Trigonometry - N J Wildberger
Insights into Mathematics via YouTube
The Three-Fold Symmetry of Chromogeometry - Rational Geometry Math Foundations
Insights into Mathematics via YouTube
Isometry Groups of the Projective Line - Rational Geometry Math Foundations
Insights into Mathematics via YouTube
Ptolemy's Theorem and Generalizations - Rational Geometry Math Foundations
Insights into Mathematics via YouTube