File:Gran dodecaedro Estrellado.gif
Gran_dodecaedro_Estrellado.gif (562 × 511 pixels, file size: 2.28 MB, MIME type: image/gif, looped, 146 frames, 11 s)
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DescriptionGran dodecaedro Estrellado.gif |
Español: El gran dodecaedro estrellado, es una estelación irregular del icosaedro regular, fue pintado por el matemático alemán Wenzel Jamnitzer, y dado a conocer por Johannes Kepler a partir del 1619. El bis-par poliédrico que representa este poliedro es 12 (6, 3s) + 20 (3, 3s). Triangulo isósceles = 3s.
Este poliedro posee 60 triángulos irregulares isósceles. 12 vértices cóncavos intermedios, donde se unen seis triángulos isósceles 12 (6, 3s) y 20 vértices convexos exteriores, donde se unen tres triángulos irregulares isósceles 20 (3, 3s), donde la suma total es de 32 vértices. Además posee 60 aristas exteriores y 30 aristas intermedias, las cuales no son uniformes entre sí. Si sumamos todas las aristas, entonces tenemos 90 aristas no uniformes entre sí. Aplicando la formula de Euler: C+V-A=2, sustituyendo 60 + 32 - 90 =2, se cumple la formula de Euler. El gran dodecaedro estrellado ocupa la posición 29 de las formulas que describen las secuencias poliédricas triangulares, C=2L+2, A=3L+3, V=L+3, que fueron descubiertas por el profesor Jose Joel Leonardo en el año 2010. El poliedro regular que desplaza al gran dodecaedro estrellado es el icosaedro estrellado Davinciano Pintado por el inventor, matemático, italiano, Leonardo Da Vinci en 1498 y publicado en 1508 en el libro la divina proporción del Monge matemático Luca Pacioli. El cuarto y quinto teorema de Leonardo demuestran cuales y cuántos son los poliedros regulares estrellados. |
Date | |
Source | Own work |
Author | J.Joel Leonardo |
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