The euclidean 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...
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| Formato: | info:eu-repo/semantics/article |
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Universidad Antonio Nariño
2024
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| Acceso en línea: | https://revistas.uan.edu.co/index.php/espaciomatematico/article/view/1828 https://repositorio.uan.edu.co/handle/123456789/11585 |
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| _version_ | 1812671675335966720 |
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| author | Jiménez, Douglas |
| author_facet | Jiménez, Douglas |
| author_sort | Jiménez, Douglas |
| collection | DSpace |
| 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. |
| format | info:eu-repo/semantics/article |
| id | repositorio.uan.edu.co-123456789-11585 |
| institution | Repositorio Digital UAN |
| language | spa |
| publishDate | 2024 |
| publisher | Universidad Antonio Nariño |
| record_format | dspace |
| spelling | repositorio.uan.edu.co-123456789-115852024-10-11T20:03:59Z 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. 2024-01-20 2024-10-11T20:03:59Z 2024-10-11T20:03:59Z info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Artículo revisado por pares https://revistas.uan.edu.co/index.php/espaciomatematico/article/view/1828 https://repositorio.uan.edu.co/handle/123456789/11585 spa https://revistas.uan.edu.co/index.php/espaciomatematico/article/view/1828/1394 Derechos de autor 2024 Espacio Matemático application/pdf Universidad Antonio Nariño 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 |
| spellingShingle | sólidos platónicos razón áurea icosaedro platonic solids golden section icosahedron Jiménez, Douglas The euclidean icosahedron |
| title | The euclidean icosahedron |
| title_full | The euclidean icosahedron |
| title_fullStr | The euclidean icosahedron |
| title_full_unstemmed | The euclidean icosahedron |
| title_short | The euclidean icosahedron |
| title_sort | euclidean icosahedron |
| topic | sólidos platónicos razón áurea icosaedro platonic solids golden section icosahedron |
| url | https://revistas.uan.edu.co/index.php/espaciomatematico/article/view/1828 https://repositorio.uan.edu.co/handle/123456789/11585 |
| work_keys_str_mv | AT jimenezdouglas theeuclideanicosahedron AT jimenezdouglas elicosaedroeuclidiano AT jimenezdouglas euclideanicosahedron |
