) Regular polytopes, p.98|-|bgcolor=#e……"> Compound of five tetrahedra について
翻訳と辞書
Words near each other
・ Compound of five cuboctahedra
・ Compound of five cubohemioctahedra
・ Compound of five great cubicuboctahedra
・ Compound of five great dodecahedra
・ Compound of five great icosahedra
・ Compound of five great rhombihexahedra
・ Compound of five icosahedra
・ Compound of five nonconvex great rhombicuboctahedra
・ Compound of five octahedra
・ Compound of five octahemioctahedra
・ Compound of five rhombicuboctahedra
・ Compound of five small cubicuboctahedra
・ Compound of five small rhombihexahedra
・ Compound of five small stellated dodecahedra
・ Compound of five stellated truncated hexahedra
Compound of five tetrahedra
・ Compound of five tetrahemihexahedra
・ Compound of five truncated cubes
・ Compound of five truncated tetrahedra
・ Compound of four hexagonal prisms
・ Compound of four octahedra
・ Compound of four octahedra with rotational freedom
・ Compound of four tetrahedra
・ Compound of four triangular prisms
・ Compound of great icosahedron and great stellated dodecahedron
・ Compound of octahedra
・ Compound of six cubes with rotational freedom
・ Compound of six decagonal prisms
・ Compound of six decagrammic prisms
・ Compound of six pentagonal antiprisms


Dictionary Lists
翻訳と辞書 辞書検索 [ 開発暫定版 ]
スポンサード リンク

Compound of five tetrahedra : ウィキペディア英語版
Compound of five tetrahedra
" 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
翻訳と辞書 : 翻訳のためのインターネットリソース

Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.