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, 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.
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Acknowledgements
The authors would like to thank to the authorities of the Universidad Nacional de Piura for the acquisition of the Mathematica 11.0 license and the reviewers for their valuable comments and suggestions.
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Anto, L.A., Fiestas, A.M., Ojeda, E.J., Velezmoro, R., Ipanaqué, R. (2020). A Mathematica Package for Plotting Implicitly Defined Hypersurfaces in 
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In: Gervasi, O., et al. Computational Science and Its Applications – ICCSA 2020. ICCSA 2020. Lecture Notes in Computer Science(), vol 12250. Springer, Cham. https://doi.org/10.1007/978-3-030-58802-1_9
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