Notes on the representational possibilities of projective quadrics in four dimensions

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dc.contributor.authorBácsó, Sándor
dc.contributor.authorSzilasi, Zoltán
dc.date.accessioned2024-09-04T09:45:24Z
dc.date.available2024-09-04T09:45:24Z
dc.date.issued2006-06-01
dc.description.abstractThe paper deals with hyper-quadrics in the real projective 4-space. According to [1] there exist 11 types of hypersurfaces of 2nd order, which can be represented by 'projective normal forms' with respect to a polar simplex as coordinate frame. By interpreting this frame as a Cartesian frame in the (projectively extended) Euclidean 4-space one will receive sort of Euclidean standard types of hyper-quadrics resp., hypersurfaces of 2nd order: the sphere as representative of hyper-ellipsoids, equilateral hyper-hyperboloids, and hyper-cones of revolution. It seems to be worthwhile to visualize the "typical" projective hyper-quadrics by means of descriptive geometry in the (projectively extended) Euclidean 4-space using Maurin's method [4] or the classical (skew) axonometric mapping of that 4-space into an image plane.en
dc.formatapplication/pdf
dc.identifier.citationTeaching Mathematics and Computer Science, Vol. 4 No. 1 (2006) , 167-177
dc.identifier.doihttps://doi.org/10.5485/TMCS.2006.0114
dc.identifier.eissn2676-8364
dc.identifier.issn1589-7389
dc.identifier.issue1
dc.identifier.jatitleTeach. Math. Comp. Sci.
dc.identifier.jtitleTeaching Mathematics and Computer Science
dc.identifier.urihttps://hdl.handle.net/2437/379576
dc.identifier.volume4
dc.languageen
dc.relationhttps://ojs.lib.unideb.hu/tmcs/article/view/14766
dc.rights.accessOpen Access
dc.rights.ownerSándor Bácsó and Zoltán Szilasi
dc.subjectprojective quadricsen
dc.subjectEuclidean and projective spacesen
dc.subjectMaurin’s projectionen
dc.subjectaxonometryen
dc.titleNotes on the representational possibilities of projective quadrics in four dimensionsen
dc.typefolyóiratcikkhu
dc.typearticleen
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