翻訳と辞書
Words near each other
・ 9-Carboxymethoxymethylguanine
・ 9-centimeter band
・ 9-cis-beta-carotene 9',10'-cleaving dioxygenase
・ 9-cis-epoxycarotenoid dioxygenase
・ 9-cube
・ 9-Deacetoxyfumigaclavine C
・ 9-demicube
・ 9-foot Stake
・ 9-Hydroxyoctadecadienoic acid
・ 9-j symbol
・ 9-man
・ 9-Man (film)
・ 9-nor-9β-Hydroxyhexahydrocannabinol
・ 9-orthoplex
・ 9-Pin Protocol
9-simplex
・ 9. April
・ 9.0
・ 9.11 (album)
・ 9.11.2011 Toronto, Canada
・ 9.15 cm leichtes Minenwerfer System Lanz
・ 9.3×62mm
・ 9.3×64mm Brenneke
・ 9.3×74mmR
・ 9.45-inch Heavy Mortar
・ 9.5 Carats
・ 9.5 mm film
・ 9.5×57mm Mannlicher–Schönauer
・ 9.9
・ 9/11 (film)


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

9-simplex : ウィキペディア英語版
9-simplex

In geometry, a 9-simplex is a self-dual regular 9-polytope. It has 10 vertices, 45 edges, 120 triangle faces, 210 tetrahedral cells, 252 5-cell 4-faces, 210 5-simplex 5-faces, 120 6-simplex 6-faces, 45 7-simplex 7-faces, and 10 8-simplex 8-faces. Its dihedral angle is cos−1(1/9), or approximately 83.62°.
It can also be called a decayotton, or deca-9-tope, as a 10-facetted polytope in 9-dimensions.. The name ''decayotton'' is derived from ''deca'' for ten facets in Greek and -yott (variation of oct for eight), having 8-dimensional facets, and ''-on''.
== Coordinates ==

The Cartesian coordinates of the vertices of an origin-centered regular decayotton having edge length 2 are:
:\left(\sqrt,\ 1/6,\ \sqrt,\ \sqrt,\ \sqrt,\ \sqrt,\ \sqrt,\ \sqrt,\ \pm1\right)
:\left(\sqrt,\ 1/6,\ \sqrt,\ \sqrt,\ \sqrt,\ \sqrt,\ \sqrt,\ -2\sqrt,\ 0\right)
:\left(\sqrt,\ 1/6,\ \sqrt,\ \sqrt,\ \sqrt,\ \sqrt,\ -\sqrt,\ 0,\ 0\right)
:\left(\sqrt,\ 1/6,\ \sqrt,\ \sqrt,\ \sqrt,\ -2\sqrt,\ 0,\ 0,\ 0\right)
:\left(\sqrt,\ 1/6,\ \sqrt,\ \sqrt,\ -\sqrt,\ 0,\ 0,\ 0,\ 0\right)
:\left(\sqrt,\ 1/6,\ \sqrt,\ -\sqrt,\ 0,\ 0,\ 0,\ 0,\ 0\right)
:\left(\sqrt,\ 1/6,\ -\sqrt,\ 0,\ 0,\ 0,\ 0,\ 0,\ 0\right)
:\left(\sqrt,\ -4/3,\ 0,\ 0,\ 0,\ 0,\ 0,\ 0,\ 0\right)
:\left(-3\sqrt,\ 0,\ 0,\ 0,\ 0,\ 0,\ 0,\ 0,\ 0\right)
More simply, the vertices of the ''9-simplex'' can be positioned in 10-space as permutations of (0,0,0,0,0,0,0,0,0,1). This construction is based on facets of the 10-orthoplex.

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「9-simplex」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.