convex subgroup
51Compound of five octahedra — Type Regular compound Index UC17, W23 Elements (As a compound) 5 octahedra: F = 40, E = 60, V = 30 …
52Littelmann path model — In mathematics, the Littelmann path model is a combinatorial device due to Peter Littelmann for computing multiplicities without overcounting in the representation theory of symmetrisable Kac Moody algebras. Its most important application is to… …
53Compound of five tetrahemihexahedra — Type Uniform compound Index UC18 Polyhedra 5 tetrahemihexahedra Faces …
54Compound of twenty tetrahemihexahedra — Type Uniform compound Index UC19 Polyhedra 20 tetrahemihexahedra Faces …
55Compound of twenty octahedra — Type Uniform compound Index UC14 Polyhedra 20 octahedra Faces 40+120 triangles …
56Compound of two truncated tetrahedra — Type Uniform compound Index UC54 Polyhedra 2 truncated tetrahedra Faces …
57Compound of two snub cubes — Type Uniform compound Index UC68 Polyhedra 2 snub cubes Faces 16+48 triangles, 12 squares …
58Compound of two snub dodecahedra — Type Uniform compound Index UC69 Polyhedra 2 snub dodecahedra Faces 40+120 triangl …
59Compound of five truncated tetrahedra — Type Uniform compound Index UC55 Polyhedra 5 truncated tetrahedra Faces …
60Compound of three cubes — Type Uniform compound Index UC8 Convex hull Nonuniform truncated octahedron Polyhedra 3 cubes …