Polyhedron Compound

Solid	Vertices	Symbol
Cube 2-Compound
Cube 3-Compound
Cube 4-Compound
Cube 5-Compound	Dodecahedron	$2\{5,3\}[5\{4,3\}]$
Cube-Octahedron Compound	both
Dodecahedron 2-Compound
Dodecahedron-Icosahedron Compound	both
Great Dodecahedron-Small Stellated Dodecahedron Compound	both
Great Icosahedron-Great Stellated Dodecahedron Compound	both
Octahedron 5-Compound	Icosidodecahedron	$[5\{3,4\}]2\{3,5\}$
Stella Octangula	Cube	$\{4,3\} [2\{3,3\}]\{3,4\}$
Tetrahedron 5-Compound	Dodecahedron	$\{5,3\}[5\{3,3\}]2\{3,5\}$
Tetrahedron 10-Compound	Dodecahedron	$2\{5,3\}[10\{3,3\}]2\{3,5\}$

The above table gives some common polyhedron compounds. In Coxeter's Notation, $d$ distinct Vertices of $\{m,n\}$ taken $c$ times are denoted

$$c\{m,n\}[d\{p,q\}],$$

or faces of $\{s,t\}$ $e$ times

$$[d\{p,q\}]e\{s,t\},$$

or both

$$c\{m,n\}[d\{p,q\}]e\{s,t\}.$$

The five Tetrahedra can be arranged in a laevo or dextro configuration.

See also Cube-Octahedron Compound, Dodecahedron-Icosahedron Compound, Octahedron 5-Compound, Stella Octangula, Tetrahedron 5-Compound