Considerations regarding the representation of the invisible: Monge’s method in four dimensions
2019; Volume: 24; Issue: 35 Linguagem: Inglês
ISSN
2254-6103
AutoresAndrés Martín-Pastor, José María Gentil Baldrich,
Tópico(s)Historical Studies of Medieval Iberia
ResumoespanolLa representacion grafica del espacio tetradimensional, entre el siglo xix y xx, merece un lugar destacado en la historia del pensamiento grafico. Al igual que ocurrio en el desarrollo de la perspectiva renacentista, el estudio de los poliedros –y politopos– por unos pocos “matematicos de la representacion” fue unido a la codificacion de novedosas formas de representar. La voluntad de definir nuevas formas de ver y representar la cuarta dimension trascendio a todas las esferas de las manifestaciones esteticas. Aportaremos relevantes testimonios sobre la evolucion de estos primeros sistemas graficos tetradimensionales. Una ultima contribucion se recoge en la Tesis de Alfredo Llorens Herrero 1, que supone la ampliacion del Sistema Diedrico en una dimension extra. EnglishThe 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.
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