Finally, so as not to leave out the one remaining regular solid, he proposed that the dodecahedron represented the shape of the entire universe. |
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We are aware that the dodecahedron dissected into four congruent heptahedrons could be positioned onto the bottom of the cube. |
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The fifth Platonic solid, the dodecahedron, is Plato's model for the whole universe. |
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Hypsicles added a Book XIV to the Elements which dealt with the mensuration of the regular dodecahedron and icosahedron. |
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The small stellated dodecahedron is simply 12 stars, called pentagrams, intersected in a special way. |
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The fluorite tends to occur only as cubes modified by the dodecahedron, with simple cubes or octahedra uncommon or absent. |
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The diameter of the inscribing sphere of the rhombic dodecahedron was 8.34 nm. |
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A dodecahedron modified by the octahedron and cube from Nordmark, Sweden, is figured in Goldschmidt. |
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Dali also incorporated in the painting a huge dodecahedron engulfing the supper table. |
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The rhombic dodecahedron and the common trapezohedron are the most common forms. |
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A dodecahedron or is a geometric form with 12 pentagonal surfaces, 20 vertexes and 30 ribs. |
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The structure of PU foam consists of a network of dodecahedron cells which behave as micro-springs. |
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The same circle circumscribes both the pentagon of the dodecahedron. |
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However, neither the regular icosahedron nor the regular dodecahedron are amongst them. |
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The dodecahedron, however, corresponded to quintessence, the element of the heavens. |
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The new Dodek Collection presents a bezel in the shape of a dodecahedron that indicates 12 hours, as well as the other 12 reflected on the dial. |
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The dodecahedron, composed of 12 faces made of regular pentagons, is associated to the universe. |
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As well as constructions to divide a line in the golden ratio, Euclid gives applications such as the construction of a regular pentagon, an icosahedron and a dodecahedron. |
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The fifth regular polyhedron, the dodecahedron, was left over, so Plato proposed rather lamely that the god used it up for decorating the universe. |
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Its shape is a pure platonic solid, a dodecahedron, a geometry often associated with philosophical theories, esoterism and sci-fi culture. |
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Among the Platonic solids, either the dodecahedron or the icosahedron may be seen as the best approximation to the sphere. |
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The dodecahedron consists of 12 pentagonal faces, and the icosahedron of 20 triangles. |
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The great stellated dodecahedron is one of the four Kepler-Poinsot Star Polyhedra, and is also the third and final stellation of the dodecahedron. |
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Festina launches DODEK, a new collection of masculine cronographs for this year 2009, that recieves its name from its original bezel in the shape of a dodecahedron. |
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The dodecahedron, on the other hand, has the smallest angular defect, the largest vertex solid angle, and it fills out its circumscribed sphere the most. |
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As in nature, the water moves in a spiral, driven by the centripetal force of the vortex, and in this way is ready to enter the first dodecahedron. |
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By determining the position of such circles, they were even able to fix the space orientation of the fundamental dodecahedron relative to the CMB frame. |
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The Poincaré space is represented by a dodecahedron whose opposite faces are pairwise identified, and has volume 120 times smaller than the hypersphere. |
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The dodecahedron and the icosahedron form a dual pair. |
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Other evidence suggests he may have only been familiar with the tetrahedron, cube, and dodecahedron, and that the discovery of the octahedron and icosahedron belong to Theaetetus, a contemporary of Plato. |
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The plesiohedra include such well-known shapes as the cube, hexagonal prism, rhombic dodecahedron, and truncated octahedron. |
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The dodecahedron seems to respond to our presence. |
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Four figures involve 12 pentagrams arranged as in the faces of a dodecahedron with their vertices touching. |
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The rhombic dodecahedron is a convex polyhedron with 12 congruent rhombi as its faces. |
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It will reinforce each one of your acts in considerable proportions, following the example of the dodecahedron or of the pyramid, without however requiring of specific ritual or special provision. |
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In the case of the latter, two chiral members, the snub cube and the snub dodecahedron, are realized. |
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A dodecahedron has 12 faces. each one a regular pentagon. |
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But it is, quintessentially, a dodecahedron. |
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The fifth, the dodecahedron, has pentagonal faces. |
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Crystallographers are familiar with the rhombic dodecahedron as a domain of reference with which to account for the growth and structure of natural crystals. |
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