The remaining 6 cells project onto the square faces of the cuboctahedron.

For example the cube is not usually considered a stellation of the cuboctahedron.

It is the dual of the uniform great truncated cuboctahedron.

It can be seen as half a cuboctahedron.

Each group of 12 new vertices forms a cuboctahedron.

A cuboctahedron can be obtained by taking an appropriate cross section of a four-dimensional 16-cell.

It can be seen as a cuboctahedron with square and triangular pyramids added to each face.

The cuboctahedron is the image of two of the cuboctahedral cells.

The edges of a cuboctahedron form four regular hexagons.

It is also the first stellation of the cuboctahedron and given as Wenninger model index 43.

The projection envelope is in the shape of a non-uniform truncated cuboctahedron.

The skew projections show a square and hexagon passing through the center of the cuboctahedron.

A Cuboctahedron would be a cantellated Tetrahedron, as another example.

For example, 3.4.3.4 is the cuboctahedron with alternating triangular and square faces around each vertex.

One can easily follow this path in a rendering of the equatorial cuboctahedron cross-section.

The rhombic dodecahedron is the dual of the cuboctahedron.

This model shares the name with the convex great rhombicuboctahedron, also called the truncated cuboctahedron.

A cuboctahedron has as faces six equal squares and eight equal regular triangles.

In geometry, the truncated cuboctahedron is an Archimedean solid.

The maximal cross-section of the runcinated 5-cell with a 3-dimensional hyperplane is a cuboctahedron.

The rectified octahedron, whose dual is the cube, is the cuboctahedron.

The mall's original pylon featured a Cuboctahedron welcoming visitors.

This corresponds to traversing diagonally through the squares in the cuboctahedron cross-section.

There are only two convex quasiregular polyhedra, the cuboctahedron and the icosidodecahedron.

For example, a cuboctahedral assembly has 24 units, since the cuboctahedron has 24 edges.