Zamora Esquivel, J. C. Vanishing vector rotation in quadric geometric algebra. (English) Zbl 1497.15026 Adv. Appl. Clifford Algebr. 32, No. 4, Paper No. 46, 12 p. (2022). Summary: In the paper [J. Zamora-Esquivel, Adv. Appl. Clifford Algebr. 24, No. 2, 493–514 (2014; Zbl 1298.15033)] a generalization of CGA was introduced. Now \(G_{6, 3}\) is called Quadric Geometric Algebra (QGA), and in which the use of axis aligned quadrics and their intersections were presented. In this paper the rotation of \(G_{6, 3}\) geometric entities is described, introducing new concepts like vanishing vectors, also the polar representation of quadric geometric entities is being used. MSC: 15A66 Clifford algebras, spinors 15A67 Applications of Clifford algebras to physics, etc. Keywords:quadric geometric algebra; rotation; vanishing vectors Citations:Zbl 1298.15033 PDFBibTeX XMLCite \textit{J. C. Zamora Esquivel}, Adv. Appl. Clifford Algebr. 32, No. 4, Paper No. 46, 12 p. (2022; Zbl 1497.15026) Full Text: DOI References: [1] Bayro-Corrochano, E., Geometric Algebra Applications, Vol. II: Robot Modelling and Control (2020), Berlin: Springer Nature, Berlin · Zbl 1471.93001 [2] Breuils, S.; Fuchs, L.; Hitzer, E.; Nozick, V.; Sugimoto, A., Three-dimensional quadrics in extended conformal geometric algebras of higher dimensions from control points, implicit equations and axis alignment, Adv. Appl. Clifford Algebras, 29, 3, 1-22 (2019) · Zbl 1453.51010 [3] Easter, R.B.: G8,2 geometric algebra. dcga.viXra.org p. 46 (2015). http://vixra.org/pdf/1508.0086v5.pdf [4] Hildenbrand, D.: Foundations of geometric algebra computing. In: AIP Conference Proceedings, vol. 1479, pp. 27-30. American Institute of Physics (2012). doi:10.1007/978-3-642-31794-1 [5] Hrdina, J.; Návrat, A.; Vašík, P., Geometric algebra for conics, Adv. Appl. Clifford Algebras, 28, 3, 1-21 (2018) · Zbl 1398.51045 [6] Klawitter, D., Reflections in conics, quadrics and hyperquadrics via clifford algebra, Beiträge zur Algebra und Geometrie/Contrib. Algebra Geom., 57, 1, 221-242 (2016) · Zbl 1380.15018 [7] Li, H.; Hestenes, D.; Rockwood, A., Generalized homogeneous coordinates for computational geometry, Geometric Computing with Clifford Algebras, 27-59 (2001), Berlin: Springer, Berlin · Zbl 1073.68849 [8] Zamora-Esquivel, J., G6,3 geometric algebra; description and implementation, Adv. Appl. Clifford Algebras, 24, 2, 493-514 (2014) · Zbl 1298.15033 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.