Graphic constructions of real three-dimensional quadrics as cuts of four-dimensional cones with three-dimensional spaces are described. All the constructions are presented on interactive models in GeoGebra 5 with use of descriptive geometry methods, which are based on a visualization technique of double orthogonal projection of the four-dimensional space onto two perpendicular three-dimensional spaces. We visualize a four-dimensional cone, its cutting 3-space and the section simultaneously in one figure. For detailed reasoning and verifications, the constructions are also supported analytically.
CITATION STYLE
Zamboj, M. (2019). Quadric sections of four-dimensional cones. In Advances in Intelligent Systems and Computing (Vol. 809, pp. 500–513). Springer Verlag. https://doi.org/10.1007/978-3-319-95588-9_41
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