How To Use Icosahedron In A Sentence
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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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Theaetetus was the first to study the octahedron and the icosahedron and it is believed that Book XIII of Euclid's Elements is based on his work.
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You may note that the spheres sit more or less on the vertices of an icosahedron, which is why this configuration is called the icosahedral arrangement.
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Then, about 10 years ago, the mathematician Reidun Twarock developed a more general theory of the geometry of viruses based on the symmetries of the icosahedron, but using shapes in six dimensions, not three.
New Angles on Biology
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Earth was a cube, air an octahedron, fire a tetrahedron and water an icosahedron.
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Water was an icosahedron, and air had to be an octahedron.
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This set of five polyhedra came with the faces already numbered, to make it easy to see that there were 12 sides on a dodacahedron, or 20 on an icosahedron, which made them easy to use as dice.
The Braunstein Game « Isegoria
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These are often known as the Platonic solids: the tetrahedron, cube, octahedron, dodecahedron and icosahedron.
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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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The icosahedron is one of only five regular convex polyhedrons, the symmetric ‘Platonic solids’ that fascinated the ancient Greeks (the cube is another).
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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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One of Plato's perfect solids, the icosahedron has 20 triangular faces.
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The octahedron can be made from four cards and an icosahedron with ten of them.
HERE’S LOOKING AT EUCLID
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The viral capsid is an icosahedron with 12 antenna-like fiber projections that function to attach the virus to the cell surface during infection.
Genes in pieces
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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 tetrahedron was fire, the cube earth, the octahedron air, the icosahedron water and the dodecahedron the encompassing dome.
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Water, because it is the most mobile and fluid, has to be an icosahedron, the regular solid that rolls most easily.
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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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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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These are often known as the Platonic solids: the tetrahedron, cube, octahedron, dodecahedron and icosahedron.
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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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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 company receives more than 1 million applications a year and identifies the top candidates through a rigorous screening process that analyzes SAT scores, grade-point averages and their performance on tests with such questions as: "How many different ways can you color an icosahedron with one of three colors on each face?
Google Hiring More Than 6,200 Workers This Year
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I've rolled the icosahedron and painted a few miniatures myself so it only raises my charisma to be accepted by that culture.
Archive 2009-08-01
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Like the elongated shapes, the pentagons and hexagons are also characterized by a fivefold symmetry; we thus observe regular decahedrons and icosahedrons.
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He developed a theory of automorphic functions, connecting algebraic and geometric results in his important 1884 book on the icosahedron.
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Join five equilateral triangles together and you have the first part of an icosahedron C.
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The icosahedron is another of the five regular, or Platonic, bodies having all their sides, angles, and planes similar and equal.
Amusements in Mathematics
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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 Icosahedron can be assemble cutting along the edges of the map.
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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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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.