dodecahedron
十二面体,十二边形,十字架
Definitions
- 1
plural do·dec·a·he·drons, do·dec·a·he·dra [doh-dek-uh-hee-druh, doh-dek-]. /doʊˌdɛk əˈhi drə, ˌdoʊ dɛk-/. Geometry, Crystallography.
- : a solid figure having 12 faces.
Examples
Mathematicians proved this five years ago, but the dodecahedron wasn’t on their list.
In fact, they found infinitely many straight paths on the surface of the dodecahedron that start and end on the same vertex without passing through any others.
Here’s one shown on the net of the dodecahedron, hiding in plain sight.
By adapting Finster’s algorithm, the researchers were able to identify all the straight paths on the dodecahedron from a corner to itself, and to classify these paths via the dodecahedron’s hidden symmetries.
The Dodecahedron, having twelve regular pentagons (or five-sided figures) as faces.
The rhombic dodecahedron is not regular, for though the lines and surfaces are equal, the angles are not.
Two of these generate the cube and the octahedron; five of these generate the dodecahedron and the icosahedron.
The “rhombic dodecahedron,” one of the geometrical semiregular solids, is an important crystal form.
The “ordinary dodecahedron” is one of the Platonic solids (see Polyhedron).