File:Gran Icosaedro.gif
Gran_Icosaedro.gif (706 × 551 pixels, file size: 5.76 MB, MIME type: image/gif, looped, 237 frames, 19 s)
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Summary
editDescriptionGran Icosaedro.gif |
Español: Este poliedro posee120 caras triangulares escalena y 60 caras triangulares isósceles, para un total de 180 caras poliédricas.
Tiene 60 vértices interiores, mas 12 vértices exteriores y 20 vértices intermedios, para un total de 92 vértices. Posee 60 aristas exteriores, 180 aristas interiores y 30 aristas intermedias, para sumar un total de 270 aristas. Si aplicamos la formula de Euler en este poliedro: C + V – A = 2 sustituyendo 180 + 92 – 270 = 2, la formula de Euler se cumple. Si aplicamos las formulas de secuencias triangulares de Jose Joel Leonardo, tenemos, C=2L+2, A=3L+3, V=L+3. Despejando el valor de la variable L, si tenemos 92 vértices. L=V-3, sustituyendo L=92-3=89, este poliedro irregular ocupa la posición 89 de la secuencia poliédrica triangulares. Con el conjunto de los vértices intermedios del gran icosaedro, se forma un dodecaedro regular convexo. Con el conjunto de los vértices interiores o de los vértices exteriores del gran icosaedro, se forma perfectamente un icosaedro regular convexo. El tris-par poliédrico que representa este poliedro es: –20 (12, 3I) –60 (3, 3I) – 12(5, 3I). Triángulos irregulares = 3I.El gran icosaedro fue dado ha conocer por el matemático Francés Louis Poinsot en el año 1809,, pero el matemático Alemán Johannes Kepler ya lo había mostrado en el año 1619.. |
Date | |
Source | Own work |
Author | Jose J. Leonard |
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current | 18:45, 14 July 2018 | 706 × 551 (5.76 MB) | Jose J. Leonard (talk | contribs) | User created page with UploadWizard |
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