octahedron's Usage Examples:

), circles, ellipses, parabolas, hyperbolas, polyhedra (tetrahedrons, cubes, octahedrons, dodecahedrons, icosahedrons, ), spheres, ellipsoids.

cubes, octahedrons, dodecahedrons, icosahedrons, ), spheres, ellipsoids, paraboloids, hyperboloids, cylinders, cones.

octaplex (short for "octahedral complex"), icosatetrahedroid, octacube, hyper-diamond or polyoctahedron, being constructed of octahedral cells.

an octahedral number is a figurate number that represents the number of spheres in an octahedron formed from close-packed spheres.

The planes of weakness (cleavage planes) in a diamond are in four directions, following the faces of the octahedron.

bipyramid (octahedron) and truncating the polar axis vertices, making it into two end-to-end frustums.

octahedrons, dodecahedrons, icosahedrons, ), spheres, ellipsoids, paraboloids, hyperboloids, cylinders, cones.

"vision of an invisible space-lattice of alternating tetrahedrons and octahedrons.

any two symmetric pairs of points can be thought of as equators of the octahedron.

J37 would also appear here as a duplicate (it is a gyrate rhombicuboctahedron).

It has 184 cells: 2 snub dodecahedrons connected by 30 tetrahedrons, 12 pentagonal antiprisms, and 20 octahedrons.

faces capable of space-filling (the others being the cube, truncated octahedron, triangular prism, and hexagonal prism) and it is the only Johnson solid.

common type of complex is octahedral, in which six ligands form the vertices of an octahedron around the metal ion.

Synonyms:

polyhedron,