![]() There are two index 2 subgroups, and +, but the second doesn't generate a uniform 4 polytope. 18 convex polyhedral prisms citation needed citation needed Tetrahedral prisms: A3 × A1 Tetrahedral prisms: A3 × A1 3 1 This prismatic tetrahedral symmetry is, order 48. ![]() The symmetry number of a polyhedral prism is twice that of the base polyhedron. polyhedral prisms, base lateral tesseract citation needed citation needed There are 18 convex polyhedral prisms created from 5 Platonic solids and 13 Archimedean solids as well as for the infinite families of three dimensional prisms and antiprisms. This family includes prisms for the 75 nonprismatic uniform polyhedra (of which 18 are convex one of these, the cube prism, is listed above as the tesseract). The cells of such a 4 polytopes are two identical uniform polyhedra lying in parallel hyperplanes (the base cells) and a layer of prisms joining them (the lateral cells). products of a polyhedron with a line segment. The prismatic uniform 4 polytopes consist of two infinite families: Polyhedral prisms Duoprisms Convex polyhedral prisms Convex polyhedral prisms The most obvious family of prismatic 4 polytopes is the polyhedral prisms, i.e. Prismatic uniform 4 polytopes A prismatic polytope is a Cartesian product of two polytopes of lower dimension familiar examples are the 3 dimensional prisms, which are products of a polygon and a line segment. Uniform 4-polytope - Convex uniform 4-polytopes - Prismatic uniform 4-polytopes
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