|
" TITLE="10">)2〔Regular polytopes, p.98〕 |- |bgcolor=#e7dcc3|Index||UC6, W25 |- |bgcolor=#e7dcc3|Elements (As a compound)||10 tetrahedra: ''F'' = 40, ''E'' = 60, ''V'' = 20 |- |bgcolor=#e7dcc3|Dual compound||Self-dual |- |bgcolor=#e7dcc3|Symmetry group||icosahedral (''I''h) |- |bgcolor=#e7dcc3|Subgroup restricting to one constituent||chiral tetrahedral (''T'') |} The compound of ten tetrahedra is one of the five regular polyhedral compounds. This polyhedron can be seen as either a stellation of the icosahedron or a compound. This compound was first described by Edmund Hess in 1876. It can be seen as a faceting of a regular dodecahedron. == As a compound == It can also be seen as the compound of ten tetrahedra with full icosahedral symmetry (Ih). It is one of five regular compounds constructed from identical Platonic solids. It shares the same vertex arrangement as a dodecahedron. The compound of five tetrahedra represents two chiral halves of this compound. It can be made from the compound of five cubes by replacing each cube with a stella octangula on the cube's vertices. 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 ten tetrahedra」の詳細全文を読む スポンサード リンク
|