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× = 2 |- |bgcolor=#e7dcc3|Coxeter diagram|| |- |bgcolor=#e7dcc3|Cells||10 pentagonal prisms |- |bgcolor=#e7dcc3|Faces||25 squares, 10 pentagons |- |bgcolor=#e7dcc3|Edges||50 |- |bgcolor=#e7dcc3|Vertices||25 |- |bgcolor=#e7dcc3|Vertex figure||100px Tetragonal disphenoid |- |bgcolor=#e7dcc3|Symmetry||, order 200 |- |bgcolor=#e7dcc3|Dual||5-5 duopyramid |- |bgcolor=#e7dcc3|Properties||convex, vertex-uniform, facet-transitive |} In geometry of 4 dimensions, a 5-5 duoprism is a polygonal duoprism, a 4-polytope resulting from the Cartesian product of two pentagons. It has 25 vertices, 50 edges, 35 faces (25 squares, and 10 pentagons), in 10 pentagonal prism cells. It has Coxeter diagram , and symmetry [[5,2,5]], order 200. ==Images== Seen in a skew 2D orthogonal projection, 20 of the vertices are in two decagonal rings, while 5 project into the center. The 5-5 duoprism here has an identical 2D projective appearance to the 3D rhombic triacontahedron. In this projection, the square faces project into wide and narrow rhombi seen in penrose tiling. 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「5-5 duoprism」の詳細全文を読む スポンサード リンク
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