It results from composing the two enantiomorphs of the compound of six pentagrammic prisms. In doing so, the vertices of the two enantiomorphs coincide, with the result that the full compound has two pentagrammic prisms incident on each of its vertices.
compound, twelve, pentagrammic, prisms, type, uniform, compoundindex, uc37polyhedra, pentagrammic, prismsfaces, pentagrams, squaresedges, 180vertices, 60symmetry, group, icosahedral, subgroup, restricting, constituent, fold, dihedral, this, uniform, polyhedron. Compound of twelve pentagrammic prismsType Uniform compoundIndex UC37Polyhedra 12 pentagrammic prismsFaces 24 pentagrams 60 squaresEdges 180Vertices 60Symmetry group icosahedral Ih Subgroup restricting to one constituent 5 fold dihedral D5 This uniform polyhedron compound is a symmetric arrangement of 12 pentagrammic prisms aligned in pairs with the axes of fivefold rotational symmetry of a dodecahedron It results from composing the two enantiomorphs of the compound of six pentagrammic prisms In doing so the vertices of the two enantiomorphs coincide with the result that the full compound has two pentagrammic prisms incident on each of its vertices Related polyhedra editThis compound shares its vertex arrangement with four uniform polyhedra as follows nbsp Rhombicosidodecahedron nbsp Small dodecicosidodecahedron nbsp Small rhombidodecahedron nbsp Small stellated truncated dodecahedron nbsp Compound of six pentagrammic prisms nbsp Compound of twelve pentagrammic prismsReferences editSkilling John 1976 Uniform Compounds of Uniform Polyhedra Mathematical Proceedings of the Cambridge Philosophical Society 79 3 447 457 Bibcode 1976MPCPS 79 447S doi 10 1017 S0305004100052440 MR 0397554 S2CID 123279687 nbsp This polyhedron related article is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Compound of twelve pentagrammic prisms amp oldid 1121973842, wikipedia, wiki, book, books, library,
