Polyhedral Compounds: Polyhedral Compound, Uniform Polyhedron Compound, Compound of Five Tetrahedra, Small Triambic Icosahedron

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 43. Chapters: Compound of cube and octahedron, Compound of dodecahedron and icosahedron, Compound of eight octahedra with rotational freedom, Compound of eight triangular prisms, Compound of five cubes, Compound of five cuboctahedra, Compound of five cubohemioctahedra, Compound of five great cubicuboctahedra, Compound of five great dodecahedra, Compound of five great icosahedra, Compound of five great rhombihexahedra, Compound of five icosahedra, Compound of five nonconvex great rhombicuboctahedra, Compound of five octahedra, Compound of five octahemioctahedra, Compound of five rhombicuboctahedra, Compound of five small cubicuboctahedra, Compound of five small rhombihexahedra, Compound of five small stellated dodecahedra, Compound of five stellated truncated hexahedra, Compound of five tetrahedra, Compound of five tetrahemihexahedra, Compound of five truncated cubes, Compound of five truncated tetrahedra, Compound of four hexagonal prisms, Compound of four octahedra, Compound of four octahedra with rotational freedom, Compound of four tetrahedra, Compound of four triangular prisms, Compound of great icosahedron and great stellated dodecahedron, Compound of six cubes with rotational freedom, Compound of six decagonal prisms, Compound of six decagrammic prisms, Compound of six pentagonal antiprisms, Compound of six pentagonal prisms, Compound of six pentagrammic antiprisms, Compound of six pentagrammic crossed antiprisms, Compound of six pentagrammic prisms, Compound of six square antiprisms, Compound of six tetrahedra, Compound of six tetrahedra with rotational freedom, Compound of small stellated dodecahedron and great dodecahedron, Compound of ten hexagonal prisms, Compound of ten octahedra, Compound of ten tetrahedra, Compound of ten triangular prisms, Compound of ten truncated tetrahedra, Compound of three cubes, Compound of three octahedra, Compound of three square antiprisms, Compound of three tetrahedra, Compound of twelve pentagonal antiprisms with rotational freedom, Compound of twelve pentagonal prisms, Compound of twelve pentagrammic antiprisms, Compound of twelve pentagrammic crossed antiprisms with rotational freedom, Compound of twelve pentagrammic prisms, Compound of twelve tetrahedra with rotational freedom, Compound of twenty octahedra, Compound of twenty octahedra with rotational freedom, Compound of twenty tetrahemihexahedra, Compound of twenty triangular prisms, Compound of two great dodecahedra, Compound of two great icosahedra, Compound of two great inverted snub icosidodecahedra, Compound of two great retrosnub icosidodecahedra, Compound of two great snub icosidodecahedra, Compound of two icosahedra, Compound of two inverted snub dodecadodecahedra, Compound of two small stellated dodecahedra, Compound of two snub cubes, Compound of two snub dodecadodecahedra, Compound of two snub dodecahedra, Compound of two snub icosidodecadodecahedra, Compound of two truncated tetrahedra, Polyhedral compound, Prismatic compound of antiprisms, Prismatic compound of antiprisms with rotational freedom, Prismatic compound of prisms, Prismatic compound of prisms with rotational freedom, Small triambic icosahedron, Stellated octahedron, Uniform polyhedron compound. Excerpt: A uniform polyhedron compound is a polyhedral compound whose constituents are identical (although possibly enantiomorphous) uniform polyhedra, in an arrangement that is also uniform: the symmetry group of the compound acts transitively on the compound's vertices. The uniform polyhedron compounds were first enumerated by John Skilling in 1976, with a proof that the enumeration is complete. The following table lists them according to his numbering. A polyhedral compound is a polyhedron that is itself composed of several other polyhedra sharing a common centre. They are the three-dimensional analogs of polygonal...