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Erschienen in:
2020 | OriginalPaper | Buchkapitel
A Mathematica Package for Plotting Implicitly Defined Hypersurfaces in
verfasst von : Luis A. Anto, Amelia M. Fiestas, Edgar J. Ojeda, Ricardo Velezmoro, Robert Ipanaqué
Erschienen in: Computational Science and Its Applications – ICCSA 2020
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Abstract
Plotting implicitly defined geometric objects is a very important topic on computer graphics, computer aided design and geometry processing. In fact, the most important computer algebra systems include sophisticated tools for plotting implicitly defined curves and surfaces. This paper describes a new Mathematica package, 
using a generalization of the bisection method that is applied to continuous functions of four variables by recursive bisection of segments contained in their domain. The output obtained is consistent with Mathematica’s notation and results. The performance of the package is discussed by means of several illustrative and interesting examples.
4DPlots, for plotting implicitly defined hypersurfaces (solids) in
using a generalization of the bisection method that is applied to continuous functions of four variables by recursive bisection of segments contained in their domain. The output obtained is consistent with Mathematica’s notation and results. The performance of the package is discussed by means of several illustrative and interesting examples.