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40px |- |bgcolor=#e7dcc3|Faces||triangle |- |bgcolor=#e7dcc3|Vertex figure|| dodecahedron |- |bgcolor=#e7dcc3|Dual||Self-dual |- |bgcolor=#e7dcc3|Coxeter group||3, () |- |bgcolor=#e7dcc3|Properties||Regular |} The icosahedral honeycomb is one of four compact regular space-filling tessellations (or honeycombs) in hyperbolic 3-space. With Schläfli symbol , there are three icosahedra surround each edge, and 12 icosahedra surround each vertex, in a regular dodecahedral vertex figure. ==Description== The dihedral angle of a Euclidean icosahedron is 138.2°, so it is impossible to fit three icosahedra around an edge in Euclidean 3-space. However, in hyperbolic space, properly scaled icosahedra can have dihedral angles exactly 120 degrees, so three of these fit around an edge. 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「Icosahedral honeycomb」の詳細全文を読む スポンサード リンク
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