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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


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


or both


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

© 1996-9 Eric W. Weisstein