# dodecahedron

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## dodecahedron:

see polyhedronpolyhedron
, closed solid bounded by plane faces; each face of a polyhedron is a polygon. A cube is a polyhedron bounded by six polygons (in this case squares) meeting at right angles.
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## dodecahedron

[dō‚dek·ə′hē‚drən]
(mathematics)
A polyhedron with 12 faces.
References in periodicals archive ?
Russian scientists, adding the dodecahedron structure to Sanderson's discovery, found that the greatest earthquake lines were on the dodecahedron grid.
However, the own arrangement of the six-dipole system doesn't define as yet the full dodecahedron symmetry, First, we have to specify in a way the angular position of this system relative to the cube by means of photon oscillation counting, Second, the reciprocal angular positions of the quarks themselves isn't specified completely, because the equilibrium of their arrangement under the strong interaction would not be destroyed in deformations leaving the opposite quarks on their common diagonal upon its rotations,
In case of rotating the pentagons of the dodecahedron, so that they no longer have a common edge, but a common point, an irregular polyhedron with 60 equal edges is obtained, composed of 12 initial pentagons and 20 equilateral triangles in addition.
This position both resolves the original difficulties which arose in dealing with numbers and explains why we might regard numbers, triangles, squares, dodecahedrons, and so on, as the subjects of their respective sciences in the first place: for they are subjects found within those sciences, albeit not ultimate subjects.
More accurately, he investigates the plastic properties of the regular pentagon and the regular twelve faced complexes constructed out of pentagons: the dodecahedrons.
The mysterious energy source for the planet, the Dodecahedron, is failing but before the Time Lord can help, he is captured by Meglos, a creature from the nearby planet of Zolfa-Thura.
through pinyon pines, like the dodecahedron ring of icy chimes hanging
They launched SlopeViews and bought a softball-sized dodecahedron (a 12-sided instrument) with 11 high-definition cameras mounted on it a few months later.
WolframAlpha presents very nice translucent representations of 3D solids such as this dodecahedron, but I was disappointed that it cannot construct the Mathematica logo using an hyperbolised dodecahedron.
Based on the dodecahedron, a 12-sided sphere, the Dodeca 2360 captures high-resolution video from every direction simultaneously at more than 100 million pixels per second or 30fps.
The following forms were identified: the rhombic dodecahedron, the pyritohedron, the trapezohedron, several dyakis dodecahedra, and probably the triakis octahedron [= trisoctahedron],
The conjecture, if true, is sharp by the dodecahedron, and it was inspired by the fact that the dodecahedron has the minimal edge to vertex ratio among all connected graphs of girth at least 5.

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