truncated great dodecahedron
gran dodecadodecaedro truncado
great dodecahedron oor Spaans
great dodecahedron
Vertalings in die woordeboek Engels - Spaans
gran dodecaedro
en
Kepler–Poinsot polyhedron
es
sólido de Kepler-Poinsot
Geskatte vertalings
Vertoon algoritmies gegenereerde vertalings
Soortgelyke frases
voorbeelde
Advanced filtering
Voorbeelde moet herlaai word.
"The solid's polyhedral dual is the ""great dodecahedron,"" formed by the intersection of 12 regular pentagons."
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Truncating edges down to points produces the dodecadodecahedron as a rectified great dodecahedron.
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A truncation process applied to the great dodecahedron produces a series of nonconvex uniform polyhedra.
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He also assembled convex polygons around star vertices to discover two more regular stars, the great icosahedron and great dodecahedron.
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This polyhedron is the truncation of the great dodecahedron: The truncated small stellated dodecahedron looks like a dodecahedron on the surface, but it has 24 faces, 12 pentagons from the truncated vertices and 12 overlapping as (truncated pentagrams).
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The process completes as a birectification, reducing the original faces down to points, and producing the great stellated dodecahedron.
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The regular star polyhedra exist in two dual pairs, with each figure having the same density as its dual: one pair (small stellated dodecahedron—great dodecahedron) has a density of 3, while the other (great stellated dodecahedron–great icosahedron) has a density of 7.
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1-19: Miscellaneous (4,5,6,9,17 are the 5 regular compounds) 20-25: Prism symmetry embedded in prism symmetry, 26-45: Prism symmetry embedded in octahedral or icosahedral symmetry, 46-67: Tetrahedral symmetry embedded in octahedral or icosahedral symmetry, 68-75: enantiomorph pairs Compound of three octahedra Compound of four cubes Two polyhedra that are compounds but have their elements rigidly locked into place are the small complex icosidodecahedron (compound of icosahedron and great dodecahedron) and the great complex icosidodecahedron (compound of small stellated dodecahedron and great icosahedron).
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Figure 8: (a) Construction of the great stellated dodecahedron starting from an icosahedron of unit edge length.
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3.2.- The Golden Ratio in the Great Stellated Dodecahedron
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As it happens with its counterpart the small stellated dodecahedron, there are several ways to study the construction of the great stellated dodecahedron.
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The result of the whole process is a great stellated dodecahedron that contains a small stellated dodecahedron whithin (Figure 10b).
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As the later's vertices describe an icosahedron, its (imaginary) edges can be further extended until obtaining a great stellated dodecahedron (Figure 10a).
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For example the cube can be stabilised by joining its vertices with two interlaced tetrahedra (see Figure 1d), and the dodecahedron by joining its vertices from the interior in the form of a great stellated dodecahedron (see Figures 8 &9), or to the exterior forming a small stellated dodecahedron (see Figure 6).
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Its name stems from the fact that each of the twelve inner points of the great stellated dodecahedron -which coincide with the vertices of the small stellated dodecahedron cointained whithin- has two pentagrams associated with it (the pink and the blue ones shown in Figure 11).
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16 sinne gevind in 11 ms. Hulle kom uit baie bronne en word nie nagegaan nie.