Advances in Applied Clifford Algebras

, Volume 27, Issue 1, pp 231–239 | Cite as

Using the Symmetries of the Cube and Tetrahedron as a Vehicle for Introducing Some Clifford Algebra to High School Students and Undergraduate College Students

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Abstract

This paper outlines how Clifford Algebra can be presented to high school or college students to deal with the symmetries of the Platonic solids. I concentrate on the cube but all five solids are discussed.

Mathematics Subject Classification

51-01 97-01 

Keywords

Rotations Symmetry groups for the cube and tetrahedron Clifford algebra for high school and undergraduate college students Platonic solids 

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References

  1. 1.
    Snygg J.: A New Approach to Differential Geometry Using Clifford’s Geometric Algebra. Birkhäuser, New York (2012)CrossRefMATHGoogle Scholar

Copyright information

© Springer Basel 2015

Authors and Affiliations

  1. 1.East OrangeUSA

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