File:Tetraedro Triakis.gif
Tetraedro_Triakis.gif (319 × 177 pixels, file size: 256 KB, MIME type: image/gif, looped, 71 frames, 5.5 s)
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Español: TETRAEDRO TRIAKIS: Es un poliedro convexo irregular que está compuesto por, 8 vértices intermedios no uniformes, 18 aristas no uniformes y 12 caras intermedias triangulares isósceles uniformes.
La novena estelación del tetraedro está representada por el tetraedro triakis, el cual fue diseñado por el influyente matemático francés, Charles Catalán. El Tetraedro Triakis tiene 12 caras intermedias triangulares isósceles. Posee 8 vértices intermedios, posee 18 aristas. El Tetraedro Triakis pertenece al conjunto de los poliedros convexos irregulares. Además, hasta este momento es la única estelación del tetraedro que es convexa. Arista intermedia = L, L= 10 Arista exterior = Le, Le =6.1223725 Altura de las pirámides irregular =h, h = 2.04 S=h/L = 2.04/10 = 0.204. h=0.204L K = Le/L =0.61223725, K=0.61223725 Le=KL=0.61223725L, Le=0.61223725L Altura de uno de los triángulos isósceles=h h = 3.54. Ñ=h/L = 3.54/10 = 0.354. Ñ= 0.354. h = ÑL = 0.354L Área de uno de los 12 triángulos isósceles que forman el tetraedro triakis = Ati. Ati = hL/2, sustituyendo (h). Ati = 0.354L (L)/20 Ati=0.177 L (elevada a potencia 2). Área del tetraedro triakis Catalan - Leonardo = Atcl. Atcl = 12(0.177) L (elevada a potencia 2). = 2.124 L (elevada a potencia 2) Volumen de uno de los ochos tetraedro irregulares que forman el tetraedro triakis Catalan-Leonardo es: V= (0.433 L (elevada a potencia 2)) (0.204 L) /3 = 0.088332 L (elevado a potencia 3)/3 = 0.029444 L (elevado a potencia 3). V = 0.029444 L (elevada a potencia 3). Volumen del tetraedro Triakis Catalan - Leonardo: V = 0.235552 L (elevada a potencia 3).English: TETRAEDRO TRIAKIS: It is an irregular convex polyhedron that is composed of, 8 non-uniform intermediate vertices, 18 non-uniform edges and 12 uniform isosceles triangular intermediate faces.
The ninth stellar tetrahedron is represented by the triakis tetrahedron, which was designed by the influential French mathematician, Charles Catalan. The Triakis Tetrahedron has 12 isosceles triangular intermediate faces. It has 8 intermediate vertices, it has 18 edges. The Triakis Tetrahedron belongs to the set of irregular convex polyhedra. In addition, until now it is the only stelation of the tetrahedron that is convex. Intermediate edge = L, L = 10 Outside edge = Le, Le = 6.1223725 Height of irregular pyramids = h, h = 2.04 S = h / L = 2.04 / 10 = 0.204. h = 0.204L K = Le / L = 0.61223725, K = 0.61223725 Le = KL = 0.61223725L, Le = 0.61223725L Height of one of the isosceles triangles = h h = 3.54. Ñ = h / L = 3.54 / 10 = 0.354. Ñ = 0.354. h = ÑL = 0.354L Area of one of the 12 isosceles triangles that form the tetrahedron triakis = Ati. Ati = hL / 2, substituting (h). Ati = 0.354L (L) / 20 Ati = 0.177 L (raised to power 2). Triakis Catalan tetrahedron area - Leonardo = Atcl. Atcl = 12 (0.177) L (raised to power 2). = 2,124 L (raised to power 2) Volume of one of the irregular tetrahedron eights that form the Catalan-Leonardo triakis tetrahedron is: V = (0.433 L (raised to power 2)) (0.204 L) / 3 = 0.088332 L (raised to power 3) / 3 = 0.029444 L (raised to power 3). V = 0.029444 L (raised to power 3). Volume of the Triakis Catalan - Leonardo tetrahedron: V = 0.235552 L (raised to power 3).Français : TETRAEDRO TRIAKIS: It is an irregular convex polyhedron that is composed of, 8 non-uniform intermediate vertices, 18 non-uniform edges and 12 uniform isosceles triangular intermediate faces.
The ninth stellar tetrahedron is represented by the triakis tetrahedron, which was designed by the influential French mathematician, Charles Catalan. The Triakis Tetrahedron has 12 isosceles triangular intermediate faces. It has 8 intermediate vertices, it has 18 edges. The Triakis Tetrahedron belongs to the set of irregular convex polyhedra. In addition, until now it is the only stelation of the tetrahedron that is convex. Intermediate edge = L, L = 10 Outside edge = Le, Le = 6.1223725 Height of irregular pyramids = h, h = 2.04 S = h / L = 2.04 / 10 = 0.204. h = 0.204L K = Le / L = 0.61223725, K = 0.61223725 Le = KL = 0.61223725L, Le = 0.61223725L Height of one of the isosceles triangles = h h = 3.54. Ñ = h / L = 3.54 / 10 = 0.354. Ñ = 0.354. h = ÑL = 0.354L Area of one of the 12 isosceles triangles that form the tetrahedron triakis = Ati. Ati = hL / 2, substituting (h). Ati = 0.354L (L) / 20 Ati = 0.177 L (raised to power 2). Triakis Catalan tetrahedron area - Leonardo = Atcl. Atcl = 12 (0.177) L (raised to power 2). = 2,124 L (raised to power 2) Volume of one of the irregular tetrahedron eights that form the Catalan-Leonardo triakis tetrahedron is: V = (0.433 L (raised to power 2)) (0.204 L) / 3 = 0.088332 L (raised to power 3) / 3 = 0.029444 L (raised to power 3). V = 0.029444 L (raised to power 3). Volume of the Triakis Catalan - Leonardo tetrahedron: V = 0.235552 L (raised to power 3). |
| Date | |
| Source | Own work |
| Author | Jose J. Leonard |
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| current | 01:21, 21 December 2019 | | 319 × 177 (256 KB) | Jose J. Leonard (talk | contribs) | User created page with UploadWizard |
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