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A hemi-dodecahedron is an abstract regular polyhedron, containing half the faces of a regular dodecahedron. It can be realized as a projective polyhedron (a tessellation of the real projective plane by 6 pentagons), which can be visualized by constructing the projective plane as a hemisphere where opposite points along the boundary are connected and dividing the hemisphere into three equal parts. It has 6 pentagonal faces, 15 edges, and 10 vertices. It can be projected symmetrically inside of a 10-sided or 12-sided perimeter: :240px == Petersen graph == From the point of view of graph theory this is an embedding of Petersen graph on a real projective plane. With this embedding, the dual graph is ''K''6 (the complete graph with 6 vertices) --- see hemi-icosahedron. 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「Hemi-dodecahedron」の詳細全文を読む スポンサード リンク
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