from The American Heritage® Dictionary of the English Language, 4th Edition
- n. A polyhedron with 12 faces.
from Wiktionary, Creative Commons Attribution/Share-Alike License
- n. A polyhedron with twelve faces; the regular dodecahedron has regular pentagons as faces and is one of the Platonic solids.
from the GNU version of the Collaborative International Dictionary of English
- n. A solid having twelve faces.
from The Century Dictionary and Cyclopedia
- n. In geometry, a solid having twelve faces. Also duodecahedron.
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
- n. any polyhedron having twelve plane faces
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.
The hyperbolic dodecahedron is quite symmetric and has the same symmetry group as a regular dodecahedron.
To the ancient Greeks, the dodecahedron was a symbol of the Universe.
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).
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.
Place: -- the temporal mood of the Oversoul, playing through that particular facet of the dodecahedron, which is Greece.
Maybe I was wrong to tell "dodecahedron" that the leftie troll spots were taken.
There was a dodecahedron floating in front of me, in every direction.
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.
If one were to make every one of the Platonic solids with edges of the same length, the dodecahedron would be the largest-wiki