Hitzer, Eckhard M. S. Euclidean geometric objects in the Clifford geometric algebra of {origin, 3-space, infinity}. (English) Zbl 1083.15045 Bull. Belg. Math. Soc. - Simon Stevin 11, No. 5, 653-662 (2004). The author derives explicit formulas for geometric objects of 3D Euclidean geometry using a special homogeneous conformal model of Euclidean space. Such parametrisations may play a role in computer based visualisations. Specifying a basis and two ideal elements, the origin and the line at infinity, explicit equations for pairs of points, lines, circles and spheres are given. Reviewer: Bertfried Fauser (Konstanz) Cited in 4 Documents MSC: 15A66 Clifford algebras, spinors 51M15 Geometric constructions in real or complex geometry 51M25 Length, area and volume in real or complex geometry Keywords:Euclidean geometry; conformal models of Euclidean geometries; parametric equations; circles; points; ideal elements; geometric objects Software:KamiWaAi PDF BibTeX XML Cite \textit{E. M. S. Hitzer}, Bull. Belg. Math. Soc. - Simon Stevin 11, No. 5, 653--662 (2004; Zbl 1083.15045) Full Text: arXiv OpenURL