Considerations regarding the representation of the invisible: Monge’s method in four dimensions

The graphic representation of fourdimensional space, between the nineteenth and twentieth centuries, deserves a prominent place in the history of graphic thinking. As happened in the development of the Renaissance perspective, the study of polyhedra and polytopes by a few ‘graphic mathematicians’ wa...

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Bibliographic Details
Main Authors: Andrés Martín Pastor, Jose Mª Gentil Baldrich
Format: Article
Language:Spanish
Published: Universitat Politècnica de València 2019-04-01
Series:EGA
Subjects:
Online Access:https://polipapers.upv.es/index.php/EGA/article/view/11551
Description
Summary:The graphic representation of fourdimensional space, between the nineteenth and twentieth centuries, deserves a prominent place in the history of graphic thinking. As happened in the development of the Renaissance perspective, the study of polyhedra and polytopes by a few ‘graphic mathematicians’ was linked to the codification of new ways of representation. The desire to define new ways of seeing and representing the fourth dimension transcended all the spheres of aesthetic manifestations. We provide relevant testimonies regarding the evolution of the four-dimensional graphic systems. A final contribution based on Alfredo Llorens Herrero’s Thesis 1 is also included, which involves the amplification of the Dihedral System or Monge’s method through the inclusion of an extra dimension.
ISSN:1133-6137
2254-6103