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ßr |- |bgcolor=#e7dcc3|Coxeter diagrams (n=2)|| |- |bgcolor=#e7dcc3|Faces||2''n'' (unless ''p''/''q''=2), 2''np'' triangles |- |bgcolor=#e7dcc3|Edges||4''np'' |- |bgcolor=#e7dcc3|Vertices||2''np'' |- |bgcolor=#e7dcc3|Symmetry group|| *''nq'' odd: ''np''-fold antiprismatic (D''np''d) *''nq'' even: ''np''-fold prismatic (D''np''h) |- |bgcolor=#e7dcc3|Subgroup restricting to one constituent|| *''q'' odd: ''p''-fold antiprismatic (D''p''d) *''q'' even: ''p''-fold prismatic (D''p''h) |} In geometry], a prismatic compound of antiprism is a category of uniform polyhedron compound. Each member of this infinite family of uniform polyhedron compounds is a symmetric arrangement of antiprisms sharing a common axis of rotational symmetry. == Infinite family == This infinite family can be enumerated as follows: *For each positive integer ''n''≥1 and for each rational number ''p''/''q''>3/2 (expressed with ''p'' and ''q'' coprime), there occurs the compound of ''n'' ''p''/''q''-gonal antiprisms, with symmetry group: * *D''np''d if ''nq'' is odd * *D''np''h if ''nq'' is even Where ''p''/''q''=2, the component is the tetrahedron (or dyadic antiprism). In this case, if ''n''=2 then the compound is the stella octangula, with higher symmetry (Oh). 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 compound of antiprisms」の詳細全文を読む スポンサード リンク
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