From the Cartesian Plane to Hyperspace. A Model for Visualizing Hypersurfaces in 5D with Mathematica
Keywords:
pentadimensional geometry; immersion; hypersurfaces; Mathematica; geometric visualization.Synopsis
This book presents a geometric model for visualizing objects in the fifth dimension, specifically hypercylindrical and hyperparabolic hypersurfaces, using the Mathematica software. The work guides the reader from the fundamentals of analytic geometry in the Cartesian plane to the advanced immersion techniques that allow projecting pentadimensional objects into three-dimensional space. Through the systematic study of parametric curves, basic surfaces, and structural properties of the hypercylinder and the hyperparaboloid in 4D and 5D, the author demonstrates how symbolic computation and interactive visualization transform our capacity to understand structures that transcend three-dimensional spatial intuition. The work constitutes a significant contribution to the field of computational geometry and offers practical tools for researchers and students interested in higher dimensions.
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References
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Published
August 17, 2026
Series
Copyright (c) 2026 Judith Keren Jiménez Vilcherrez, Ricardo Velezmoro León, Víctor Bernardo Sosa Gonzales, Reucher Correa Morocho, María Cristina Ramírez Carrasco (Autor/a)
Details about the available publication format: PDF
PDF
ISBN-13 (15)
978-9907-820-14-0
Publication date (01)
2026-08-17
How to Cite
Jiménez Vilcherrez, J. K., Velezmoro León, R., Sosa Gonzales, V. B., Correa Morocho, R., & Ramírez Carrasco, M. C. (2026). From the Cartesian Plane to Hyperspace. A Model for Visualizing Hypersurfaces in 5D with Mathematica. Atik Editorial. https://doi.org/10.46652/atikbook37
