Assertion: octahedron | /r/HasProperty | dual
Facets:
value: to the cube
type: LOCATION
value: to the parallelopiped
type: TRANSITIVE-OBJECT
Source sentences:
text: So while it's not wrong to say that the octahedron is dual to the parallelopiped (if you use the topological definition of dual), the convention is to regard the regular representative of the dual, which is the cube.
text: For example, the cube and the octahedron are dual polyhedra.
text: The octahedron is the dual polyhedron to the cube.
text: The octahedron is dual to the cube (left); the cube is dual to the octahedron (right).
text: The octahedron is dual to the cube
text: It has six vertices, twelve edges, and is dual to the cube.
text: The model also includes the octahedron which is dual to the cube, and so shows that the cube and the octahedron possess the same symmetry.
text: See, that octahedron is dual to cube.
text: The tetrahedron is self-dual, the cube and the octahedron are duals, and the dodecahedron and icosahedron are duals.
text: They are related because cube and octahedron are dual polyhedra.
text: Being dual polyhedra, an octahedron can be formed by placing a vertex at the center of each face of a cube, and similarly a cube can be formed from an octahedron.
text: The octahedron is the dual polyhedron to the cube.