How To Use Dodecahedron In A Sentence
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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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Maybe I was wrong to tell "dodecahedron" that the leftie troll spots were taken.
Limbaugh.
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In particular he identified the five elements, fire, earth, air, water and celestial matter with the five regular solids, the tetrahedron, cube, octahedron, icosahedron and the dodecahedron.
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The tetrahedron was fire, the cube earth, the octahedron air, the icosahedron water and the dodecahedron the encompassing dome.
HERE’S LOOKING AT EUCLID
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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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These five remarkable solids - tetrahedron, cube, octahedron, dodecahedron, icosahedron - have faces that are congruent equilateral polygons.
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July 22, 2006, 8: 49 am levitra says: levitra remonstrating Deutsch dodecahedron Robbin ardor
The Volokh Conspiracy » Forget All We Ever Said About Online Surveys:
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I had seen a set of models of the regular polyhedra in my High School trig class, and decided that a “12-sided teetotum” must be the 12-sdied thingy (a regular dodecahedron) I had seen in the set.
The Braunstein Game « Isegoria
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I had seen a set of models of the regular polyhedra in my High School trig class, and decided that a “12-sided teetotum” must be the 12-sdied thingy (a regular dodecahedron) I had seen in the set.
The Braunstein Game « Isegoria
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The most likely explanation is that the dodecahedron was a cult object for the Pythagoreans (dodecahedra in stone and bronze have been found dating back to prehistoric times) and that it was because of these religious connections that Hippasus 'public work on the mathematical aspects of the solid was seen as impious (Burkert 1972a, 460).
Pythagoreanism
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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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There was a dodecahedron floating in front of me, in every direction.
Twenty-three-year-olds shouldn't be writing memoirs (Ch 3)
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Only five shapes fit the bill: the tetrahedron, the cube, the octahedron, the icosahedron and the dodecahedron, the quintet known as the Platonic solids since Plato wrote about them in the Timaeus.
HERE’S LOOKING AT EUCLID
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I had seen a set of models of the regular polyhedra in my High School trig class, and decided that a “12-sided teetotum” must be the 12-sdied thingy (a regular dodecahedron) I had seen in the set.
The Braunstein Game « Isegoria
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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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In particular, if a rhombic dodecahedron is marked with conical bumps and nicks on its faces so as to be combinatorially unbalanced, a simple counting argument reveals that the maximum possible Heesch number is 8.
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Plato, the dialectician, condescended to allow to God the liberty of making five worlds; because, said he, there are five regular solids in geometry, the tetrahedron, the cube, the hexahedron, the dodecahedron, and the icosahedron.
A Philosophical Dictionary
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These are often known as the Platonic solids: the tetrahedron, cube, octahedron, dodecahedron and icosahedron.
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These are simply extraordinary: hand-drawn images of immensely complex geometrical bodies, among them the 72-sided hebdomicontadissaedron and the very first representation in history of icosidodecahedron, that is, a three-dimensional solid with 20 triangular faces and 12 pentagonal faces.
Telegraph.co.uk - Telegraph online, Daily Telegraph and Sunday Telegraph
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Dali also incorporated in the painting a huge dodecahedron (a twelve-faced Platonic solid in which each side is a pentagon) engulfing the supper table.
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The small stellated dodecahedron is simply 12 stars, called pentagrams, intersected in a special way.
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There is a fifth Platonic regular solid too: the dodecahedron, which has pentagonal (five-sided) faces.
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The same circle circumscribes both the pentagon of the dodecahedron.
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Diamond is best known in octahedral crystals that can reach an amazing 6 cm; it also exhibits the cube, dodecahedron, and trisoctahedron.
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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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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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Plato would certainly have found the structure of C60 - an expanded dodecahedron, which is about as close to a sphere as you can get - to be an unusually beautiful body.
The Nobel Prize in Chemistry 1996 - Presentation Speech
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Place: -- the temporal mood of the Oversoul, playing through that particular facet of the dodecahedron, which is Greece.
The Crest-Wave of Evolution A Course of Lectures in History, Given to the Graduates' Class in the Raja-Yoga College, Point Loma, in the College-Year 1918-19
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Hypsicles relates that his father and Basilides studied a treatise by Apollonius on a dodecahedron and an icosahedron in the same sphere and decided that Apollonius's treatment was not satisfactory.
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The hyperbolic dodecahedron is quite symmetric and has the same symmetry group as a regular dodecahedron.
Wolfram Blog : Making the Mathematica 6 Spikey
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Four more Archimedeans appear in the Short book on the five regular solids: the truncated cube, the truncated octahedron, the truncated icosahedron and the truncated dodecahedron.
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These five remarkable solids - tetrahedron, cube, octahedron, dodecahedron, icosahedron - have faces that are congruent equilateral polygons.
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The rhombic dodecahedron and the common trapezohedron are the most common forms.
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The diameter of the inscribing sphere of the rhombic dodecahedron was 8.34 nm.
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The engraving shows that Geometry / Melancholy has not succeeded in fashioning a regular dodecahedron.
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In particular he identified the five elements, fire, earth, air, water and celestial matter with the five regular solids, the tetrahedron, cube, octahedron, icosahedron and the dodecahedron.
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A dodecahedron is any polyhedron with twelve faces, but usually a regular dodecahedron is meant: a Platonic solid composed of twelve regular pentagonal faces, with three meeting at each vertex.
Dodecahedron Papercraft | Papercraft Paradise | PaperCrafts | Paper Models | Card Models
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To the ancient Greeks, the dodecahedron was a symbol of the Universe.
Dodecahedron Papercraft | Papercraft Paradise | PaperCrafts | Paper Models | Card Models
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Only five shapes fit the bill: the tetrahedron, the cube, the octahedron, the icosahedron and the dodecahedron, the quintet known as the Platonic solids since Plato wrote about them in the Timaeus.
HERE’S LOOKING AT EUCLID
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When well-crystallized, it typically exhibits the cube form modified by the octahedron and dodecahedron; crystals to 20 cm across have been reported.
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These are often known as the Platonic solids: the tetrahedron, cube, octahedron, dodecahedron and icosahedron.
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A dodecahedron modified by the octahedron and cube from Nordmark, Sweden, is figured in Goldschmidt.
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The technical terminology for the change is "the transformation of two stellated rhombic dodecahedrons from a cube".
Geekologie - Gadgets, Gizmos, and Awesome
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In particular he identified the five elements, fire, earth, air, water and celestial matter with the five regular solids, the tetrahedron, cube, octahedron, icosahedron and the 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.
