JA Smith, Formulas and Spreadsheets for Simple, Composite, and Complex Rotations of Vectors and Bivectors in Geometric (Clifford) Algebra


James A. Smith, Formulas and Spreadsheets for Simple, Composite, and Complex Rotations of Vectors and Bivectors in Geometric (Clifford) Algebra, vixra preprint: http://vixra.org/abs/1712.0393, Free PDF download: http://vixra.org/pdf/1712.0393v1.pdf

Abstract: We show how to express the representations of single, composite, and “rotated” rotations in GA terms that allow rotations to be calculated conveniently via spreadsheets. Worked examples include rotation of a single vector by a bivector angle; rotation of a vector about an axis; composite rotation of a vector; rotation of a bivector; and the “rotation of a rotation”. Spreadsheets for doing the calculations are made available via live links.

Comments: 29 Pages. Formulas and Spreadsheets for Simple, Composite, and Complex Rotations of Vectors and Bivectors in Geometric (Clifford) Algebra

Source: http://vixra.org/abs/1712.0393, accessed: 2 Feb. 2018.

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