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In geometry, the snub square antiprism is one of the Johnson solids (''J''85). It is one of the elementary Johnson solids that do not arise from "cut and paste" manipulations of the Platonic and Archimedean solids, although it is a relative of the icosahedron that has fourfold symmetry instead of threefold. == Snub antiprisms == The ''snub square antiprism'' is constructed as its name suggests, a snub square antiprism, and represented as ss, with s as a square antiprism.〔(Snub Anti-Prisms )〕 Similarly constructed the ss is a ''snub triangular antiprism'' (a lower symmetry octahedron), and result as a regular icosahedron. A ''snub pentagonal antiprism'', ss, or higher n-antiprisms can be similar constructed, but not as a convex polyhedron with equilateral triangles. The preceding Johnson solid, the snub disphenoid also fits constructionally as ss, but you have to retain two degenerate digonal faces (drawn in red) in the digonal antiprism. (v:6; e:12; f:8) | s (v:8; e:16; f:10) | s (v:10; e:20; f:12) |- align=center !Truncated antiprisms |80px ts (v:16;e:24;f:10) |80px ts (v:24; e:36; f:14) |80px ts (v:32; e:48; f:18) |80px ts (v:40; e:60; f:22) |- !rowspan=2|Snub antiprisms !J84 !Icosahedron !J85 !Concave |- align=center |50px ss (v:8; e:20; f:14) |80px ss (v:12; e:30; f:20) |80px ss (v:16; e:40; f:26) |80px ss (v:20; e:50; f:32) |} 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「Snub square antiprism」の詳細全文を読む スポンサード リンク
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