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In four-dimensional geometry, a prismatic uniform polytope is a uniform polychoron with a nonconnected Coxeter diagram symmetry group. These figures are analogous to the set of prisms and antiprism uniform polyhedra, but add a third category called duoprisms, constructed as a product of two regular polygons. The prismatic uniform polychora consist of two infinite families: * Polyhedral prisms: products of a line segment and a uniform polyhedron. This family is infinite because it includes prisms built on 3-dimensional prisms and antiprisms. * Duoprisms: product of two regular polygons. == Convex polyhedral prisms == The most obvious family of prismatic polychora is the ''polyhedral prisms,'' i.e. products of a polyhedron with a line segment. The cells of such a polychoron are two identical uniform polyhedra lying in parallel hyperplanes (the ''base'' cells) and a layer of prisms joining them (the ''lateral'' cells). 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''). 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. The symmetry number of a polyhedral prism is twice that of the base polyhedron. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Prismatic uniform polychoron」の詳細全文を読む スポンサード リンク
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