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The As atoms then form octahedra with Co in the centre.
Because of the small size of the B octahedra, they cannot interconnect.
The compound of three octahedra has the same symmetry group as a single octahedron.
The ten chlorine atoms define a pair of octahedra that share a common edge.
It shares its edges and triangular faces with the compound of five octahedra.
When the cantellation process is applied to 24-cell, each of the 24 octahedra becomes a small rhombicuboctahedron.
The cluster can be visualised as being composed of three face-sharing octahedra.
The edges and triangular faces also occur in the compound of twenty octahedra.
The octahedra have one short molydenum-oxygen bond to a non-bridging oxygen.
Each edge has two octahedra and one icosahedron.
It is vertex-uniform with 8 tetrahedra and 6 octahedra around each vertex.
Indeed, this is the case for all known compounds with this structure, and the As atoms then do not form perfect octahedra.
But these octahedra assemble in different ways.
The tetrahedra and octahedra combine by sharing corners, to form composite layers.
The cube around which the three octahedra can be circumscribed has nine planes of reflection symmetry.
Each vertex has five octahedra and two icosahedra.
In it he classified all flexible octahedra.
It has 4 truncated octahedra around each vertex.
Being composed entirely of truncated octahedra, it is cell-transitive.
A far-enough truncation creates the Compound of five octahedra.
It is composed of truncated cubes and octahedra in a ratio of 1:1.
Another is a tessellation of octahedra and cuboctahedra.
The octahedra are joined to the truncated tetrahedra via their triangular faces.
In the image, note the corner-touching between octahedra and tetrahedra; these are the location of the shared oxygen.
Sharing of corners does not decrease stability as much, so (for example) octahedra may share corners with one another.