File:Leonard-edro 12.png
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DescriptionLeonard-edro 12.png |
Español: El Leonard-edro 12: Es un poliedro convexos, que posee 10 triángulos, dos cuadrados para un total de 12 caras, posee 9 vértices intermedios y 19 aristas intermedias.
Aplicando formula de Euler: C+V-A=2, sustituyendo 12+9-19= 21-19 =2. verificamos que la formula se cumple completamente. este poliedro es unos de los poliedro convexos descubiertos por el investigador Dominicano, Jose Joel Leonardo. Esto son los puntos, que están representados por un trio cartesiano y que definen los nueve vértices de un Leonard-edro 12, cuyas aristas miden tres centímetros de longitud. Vértices del Leonard-edro 12 utilizando un sistema de dibujo de tres dimensiones: A (0, 1.5, 0), B(0, -1.5,0), C(2.598076211353316, 0, 0), D(0, 1.5, 3), E (0, -1.5, 3), F (2.598076211353316, 0, 3), G(0.866025403784439, 0, 5.449489742783159), H(-2.071350517973518, 0, 4.568281553704796), I(-2.169040201237104, 0, 1.569872521270463).English: The Leonard-edro 12: It is a convex polyhedron, which has 10 triangles, two cuatrados for a total of 12 faces, has 9 intermediate vertices and 19 intermediate edges.
Applying formula of Euler: C + V-A = 2, substituting 12 + 9-19 = 21-19 = 2. We verify that the formula is completely fulfilled. This polyhedron is one of the convex polyhedrons discovered by the Dominican researcher, Jose Joel Leonardo. These are the points, which are represented by a Cartesian trio and which define the nine vertices of a Leonard-edro 12, whose edges measure three centimeters in length. Vertices of Leonard-edro 12 using a three-dimensional drawing system: A (0, 1.5, 0), B (0, -1.5,0), C (2.598076211353316, 0, 0), D (0, 1.5, 3 ), E (0, -1.5, 3), F (2.598076211353316, 0, 3), G (0.866025403784439, 0, 5.449489742783159), H (-2.071350517973518, 0, 4.568281553704796), I (-2.169040201237104, 0, 1.569872521270463).Français : Leonard-edro 12: Il s’agit d’un polyèdre convexe composé de 10 triangles, de deux cuatrados pour un total de 12 faces, de 9 sommets intermédiaires et de 19 arêtes intermédiaires.
Formule d'application d'Euler: C + V-A = 2, en remplaçant 12 + 9-19 = 21-19 = 2. Nous vérifions que la formule est complètement remplie. Ce polyèdre est l’un des polyèdres convexes découverts par le chercheur dominicain Jose Joel Leonardo. Ce sont les points représentés par un trio cartésien et définissant les neuf sommets d'un Leonard-edro 12, dont les arêtes mesurent trois centimètres de long. Les sommets de Leonard-edro 12 utilisant un système de dessin en trois dimensions:A (0, 1.5, 0), B (0, -1.5,0), C (2.598076211353316, 0, 0), D (0, 1.5, 3 ), E (0, -1.5, 3), F (2.598076211353316, 0, 3), G (0.866025403784439, 0, 5.449489742783159), H (-2.071350517973518, 0, 4.568281553704796), I (-2.169040201237104, 0, 1.569872521270463). |
Date | |
Source | Own work |
Author | Jose J. Leonard |
https://www.geogebra.org/m/sxvghdyu.
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