octahedron in a sentence

Examples

1. Note the duality between the cube and the octahedron, and between the dodecahedron and the icosahedron.
2. For example, diamonds, which have a cubic crystal system, are often found as octahedrons.
3. Both names reflect the fact that it has three triangular faces for every face of an octahedron.
4. The lattice has two basic structure units  the B 12 icosahedron and the B 6 octahedron.
5. The truncated octahedron is a bitruncated cube : 2t { 4, 3 } is an example.
6. Geometrically these points correspond to the vertices of a regular octahedron when aligned with the Cartesian axes.
7. The octahedron-first orthographic projection of the octahedral prism into 3D space has an octahedral envelope.
8. An octahedron has 12 edges, so the number would have to be a multiple of 12.
9. Thus it is a stellation of the octahedron, and in fact, the only finite stellation thereof.
10. Some interesting fold-out nets of the cube, octahedron, dodecahedron and icosahedron are available here.