El Icosaedro Euclidiano

Euclidean's description of the construction of regular or Platonic solids in the \emph{Elements} is quite detailed and precise for each of the five cases. However, Euclid's difficulties in representing spatial figures on the plane (the concept of perspective was still many years away from...

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Autor principal: Jiménez, Douglas
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Lenguaje:spa
Publicado: Universidad Antonio Nariño 2024
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Acceso en línea:https://revistas.uan.edu.co/index.php/espaciomatematico/article/view/1828
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author Jiménez, Douglas
author_facet Jiménez, Douglas
author_sort Jiménez, Douglas
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description Euclidean's description of the construction of regular or Platonic solids in the \emph{Elements} is quite detailed and precise for each of the five cases. However, Euclid's difficulties in representing spatial figures on the plane (the concept of perspective was still many years away from being invented) are an obstacle to the fluidity of reading. Having technological advances such as Geogebra, for example, allows us to facilitate this reading. In particular, the icosahedron is one of the most difficult drawings to follow, which is why we dedicate this essay to that exhibition, focusing on the figure and maintaining its essentiality.
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spelling revistas.uan.edu.co-article-18282024-10-11T16:42:58Z The euclidean icosahedron El Icosaedro Euclidiano Jiménez, Douglas sólidos platónicos razón áurea icosaedro platonic solids golden section icosahedron Euclidean's description of the construction of regular or Platonic solids in the \emph{Elements} is quite detailed and precise for each of the five cases. However, Euclid's difficulties in representing spatial figures on the plane (the concept of perspective was still many years away from being invented) are an obstacle to the fluidity of reading. Having technological advances such as Geogebra, for example, allows us to facilitate this reading. In particular, the icosahedron is one of the most difficult drawings to follow, which is why we dedicate this essay to that exhibition, focusing on the figure and maintaining its essentiality. La descripción euclidiana de la construcción de los sólidos regulares o platónicos en los Elementos es bastante detallada y precisa para cada uno de los cinco casos. No obstante, las dificultades de Euclides para representar figuras espaciales en el plano (faltaban aún muchos años para que se inventara el concepto de perspectiva) son un obstáculo para la fluidez de la lectura. Disponerde avances tecnológicos como Geogebra, por ejemplo, nos permite facilitar esa lectura. En particular, el del icosaedro es uno de los dibujos más difíciles de seguir, razón por la cual le dedicamos este ensayo a esa exposición centrándonos en la figura y manteniendo su esencialidad. Universidad Antonio Nariño 2024-01-20 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Artículo revisado por pares application/pdf https://revistas.uan.edu.co/index.php/espaciomatematico/article/view/1828 ESPACIO MATEMÁTICO Journal; Vol. 4 No. 1/2 (2023); 60-75 Espacio Matemático; Vol. 4 Núm. 1/2 (2023); 60-75 ESPACIO MATEMÁTICO; Vol. 4 No 1/2 (2023); 60-75 Revista Espacio Matemático; v. 4 n. 1/2 (2023); 60-75 2711-1792 spa https://revistas.uan.edu.co/index.php/espaciomatematico/article/view/1828/1394 Derechos de autor 2024 Espacio Matemático
spellingShingle sólidos platónicos
razón áurea
icosaedro
platonic solids
golden section
icosahedron
Jiménez, Douglas
El Icosaedro Euclidiano
title El Icosaedro Euclidiano
title_alt The euclidean icosahedron
title_full El Icosaedro Euclidiano
title_fullStr El Icosaedro Euclidiano
title_full_unstemmed El Icosaedro Euclidiano
title_short El Icosaedro Euclidiano
title_sort el icosaedro euclidiano
topic sólidos platónicos
razón áurea
icosaedro
platonic solids
golden section
icosahedron
topic_facet sólidos platónicos
razón áurea
icosaedro
platonic solids
golden section
icosahedron
url https://revistas.uan.edu.co/index.php/espaciomatematico/article/view/1828
work_keys_str_mv AT jimenezdouglas theeuclideanicosahedron
AT jimenezdouglas elicosaedroeuclidiano
AT jimenezdouglas euclideanicosahedron
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