翻訳と辞書
Words near each other
・ 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
・ Compound of six pentagonal prisms
・ Compound of six pentagrammic antiprisms
・ Compound of six pentagrammic crossed antiprisms
・ Compound of six pentagrammic prisms
・ Compound of six square antiprisms
・ Compound of six tetrahedra


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 four octahedra with rotational freedom : ウィキペディア英語版
Compound of four octahedra with rotational freedom

This uniform polyhedron compound is a symmetric arrangement of 4 octahedra, considered as triangular antiprisms. It can be constructed by superimposing four identical octahedra, and then rotating each by an equal angle θ about a separate axis passing through the centres of two opposite octahedral faces, in such a way as to preserve pyritohedral symmetry.
Superimposing this compound with a second copy, in which the octahedra have been rotated by the same angle θ in the opposite direction, yields the compound of eight octahedra with rotational freedom.
When θ=0, all four octahedra coincide. When θ is 60 degrees, the more symmetric compound of four octahedra (without rotational freedom) arises. In another notable case (pictured), for a certain intermediate value of θ in which 24 of the triangles form coplanar pairs, the compound assumes the form of the compound of five octahedra with one of the octahedra removed.
==References==

* .

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 four octahedra with rotational freedom」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.