Abstract
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.
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Hestenes, D. (2002). Point Groups and Space Groups in Geometric Algebra. In: Dorst, L., Doran, C., Lasenby, J. (eds) Applications of Geometric Algebra in Computer Science and Engineering. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0089-5_1
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DOI: https://doi.org/10.1007/978-1-4612-0089-5_1
Publisher Name: Birkhäuser, Boston, MA
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Online ISBN: 978-1-4612-0089-5
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