dodecahedron
Noun
Meaning
A solid having twelve faces.
Source: Webster's dictionarySynonyms
Antonyms
Hypernyms
Phrases with the word
Examples
A cube can be inscribed in a dodecahedron so that each vertex of the cube is a vertex of the dodecahedron and each edge is a diagonal of one of the dodecahedron's faces; taking all such cubes gives rise to the regular compound of five cubes.
A huge dodecahedron, in perspective so that edges appear in golden ratio to one another, is suspended above and behind Jesus and dominates the composition.
As it turns out, the icosahedron occupies less of the sphere's volume (60.54%) than the dodecahedron (66.49%).
For example, the small stellated dodecahedron has 12 pentagram faces with the central pentagonal part hidden inside the solid.
For this reason, the image shown above shows the small stellated dodecahedron in wireframe.
Geometric freedom The pyritohedron has a geometric degree of freedom with limiting cases of a cubic convex hull at one limit of colinear edges, and a rhombic dodecahedron as the other limit as 6 edges are degenerated to length zero.