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" TITLE="5">) 〔Regular polytopes, p.98〕 |- |bgcolor=#e7dcc3|Index||UC5, W24 |- |bgcolor=#e7dcc3|Elements (As a compound)||5 tetrahedra: ''F'' = 20, ''E'' = 30, ''V'' = 20 |- |bgcolor=#e7dcc3|Dual compound||Self-dual |- |bgcolor=#e7dcc3|Symmetry group||chiral icosahedral (''I'') |- |bgcolor=#e7dcc3|Subgroup restricting to one constituent||chiral tetrahedral (''T'') |} The compound of five tetrahedra is one of the five regular polyhedral compounds. This compound polyhedron is also a stellation of the regular icosahedron. It was first described by Edmund Hess in 1876. It can be seen as a faceting of a regular dodecahedron. ==As a compound== It can be constructed by arranging five tetrahedra in rotational icosahedral symmetry (I), as colored in the upper right model. It is one of five regular compounds which can be constructed from identical Platonic solids. It shares the same vertex arrangement as a regular dodecahedron. There are two enantiomorphous forms (the same figure but having opposite chirality) of this compound polyhedron. Both forms together create the reflection symmetric compound of ten tetrahedra. 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「compound of five tetrahedra」の詳細全文を読む スポンサード リンク
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