)2Regular polytopes, p.98|-|bgcolor=#……"> Compound of ten tetrahedra について
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・ Comprehensive Reviews in Food Science and Food Safety
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・ Compound of six pentagrammic prisms
・ Compound of six square antiprisms
・ Compound of six tetrahedra
・ Compound of six tetrahedra with rotational freedom
・ Compound of small stellated dodecahedron and great dodecahedron
・ Compound of ten hexagonal prisms
・ Compound of ten octahedra
Compound of ten tetrahedra
・ Compound of ten triangular prisms
・ Compound of ten truncated tetrahedra
・ Compound of tetrahedra
・ Compound of three cubes
・ Compound of three octahedra
・ Compound of three square antiprisms
・ Compound of three tetrahedra
・ Compound of twelve pentagonal antiprisms with rotational freedom
・ Compound of twelve pentagonal prisms
・ Compound of twelve pentagrammic antiprisms
・ Compound of twelve pentagrammic crossed antiprisms with rotational freedom
・ Compound of twelve pentagrammic prisms
・ Compound of twelve tetrahedra with rotational freedom
・ Compound of twenty octahedra


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Compound of ten tetrahedra : ウィキペディア英語版
Compound of ten tetrahedra
" 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)
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