Point Groups and Space Groups in Geometric Algebra

  • David Hestenes


Geometric algebra provides the essential foundation for a new approach to symmetry groups. Each of the 32 lattice point groups and 230 space groups in three dimensions is generated from a set of three symmetry vectors. This greatly facilitates representation, analysis and application of the groups to molecular modeling and crystallography.


Point Group Geometric Algebra Fundamental Region Reflection Group Symmetry Vector 
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© Springer Science+Business Media New York 2002

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  • David Hestenes

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