How To Use Decahedron In A Sentence

There was a dodecahedron floating in front of me, in every direction.
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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.
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Maybe I was wrong to tell "dodecahedron" that the leftie troll spots were taken.
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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.

The tetrahedron was fire, the cube earth, the octahedron air, the icosahedron water and the dodecahedron the encompassing dome.
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The great stellated dodecahedron is one of the four KeplerPoinsot Star Polyhedra, and is also the third and final stellation of the dodecahedron.

These five remarkable solids  tetrahedron, cube, octahedron, dodecahedron, icosahedron  have faces that are congruent equilateral polygons.

July 22, 2006, 8: 49 am levitra says: levitra remonstrating Deutsch dodecahedron Robbin ardor
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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 “12sided teetotum” must be the 12sdied thingy (a regular dodecahedron) I had seen in the set.
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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 “12sided teetotum” must be the 12sdied thingy (a regular dodecahedron) I had seen in the set.
The Braunstein Game « Isegoria

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

On this picture you will see two types of crystals: bigger ones  decahedrons  this is sugar and round ones  this is salt.

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.

The fifth regular polyhedron, the dodecahedron, was left over, so Plato proposed rather lamely that the god used it up for decorating the universe.

We are aware that the dodecahedron dissected into four congruent heptahedrons could be positioned onto the bottom of the cube.

I had seen a set of models of the regular polyhedra in my High School trig class, and decided that a “12sided teetotum” must be the 12sdied thingy (a regular dodecahedron) I had seen in the set.
The Braunstein Game « Isegoria

The fluorite tends to occur only as cubes modified by the dodecahedron, with simple cubes or octahedra uncommon or absent.

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.

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.
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These are often known as the Platonic solids: the tetrahedron, cube, octahedron, dodecahedron and icosahedron.

These are simply extraordinary: handdrawn images of immensely complex geometrical bodies, among them the 72sided hebdomicontadissaedron and the very first representation in history of icosidodecahedron, that is, a threedimensional solid with 20 triangular faces and 12 pentagonal faces.
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The cleaning layer has fully reticulated pores in a uniform network of substantially equilateral cells 34, such as tetrahedrons, truncated octahedrons and decahedrons.

Dali also incorporated in the painting a huge dodecahedron (a twelvefaced Platonic solid in which each side is a pentagon) engulfing the supper table.

The small stellated dodecahedron is simply 12 stars, called pentagrams, intersected in a special way.

There is a fifth Platonic regular solid too: the dodecahedron, which has pentagonal (fivesided) faces.

The same circle circumscribes both the pentagon of the dodecahedron.

Like the elongated shapes, the pentagons and hexagons are also characterized by a fivefold symmetry; we thus observe regular decahedrons and icosahedrons.

The fluorite tends to occur only as cubes modified by the dodecahedron, with simple cubes or octahedra uncommon or absent.

Finally, so as not to leave out the one remaining regular solid, he proposed that the dodecahedron represented the shape of the entire universe.

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.
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Place:  the temporal mood of the Oversoul, playing through that particular facet of the dodecahedron, which is Greece.
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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.

The hyperbolic dodecahedron is quite symmetric and has the same symmetry group as a regular dodecahedron.
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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.

These five remarkable solids  tetrahedron, cube, octahedron, dodecahedron, icosahedron  have faces that are congruent equilateral polygons.

The rhombic dodecahedron and the common trapezohedron are the most common forms.

It is also found in hendecasyllable, hendecagon, and hendecahedron.
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The diameter of the inscribing sphere of the rhombic dodecahedron was 8.34 nm.

Now fold, crease, decorate, and glue your decahedron, following the same hints given on the tetrahedron page.

The engraving shows that Geometry / Melancholy has not succeeded in fashioning a regular dodecahedron.

Diamond is best known in octahedral crystals that can reach an amazing 6 cm; it also exhibits the cube, dodecahedron, and trisoctahedron.

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.

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.
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It is also found in hendecasyllable, hendecagon, and hendecahedron.
VERBATIM: The Language Quarterly Vol XVII No 4

To the ancient Greeks, the dodecahedron was a symbol of the Universe.
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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.
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When wellcrystallized, it typically exhibits the cube form modified by the octahedron and dodecahedron; crystals to 20 cm across have been reported.

These are often known as the Platonic solids: the tetrahedron, cube, octahedron, dodecahedron and icosahedron.

A dodecahedron modified by the octahedron and cube from Nordmark, Sweden, is figured in Goldschmidt.

The technical terminology for the change is "the transformation of two stellated rhombic dodecahedrons from a cube".
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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.