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・ 8-OH-DPAT
・ 8-OH-PBZI
・ 8-orthoplex
・ 8-Oxo-2'-deoxyguanosine
・ 8-oxo-dGDP phosphatase
・ 8-oxo-dGTP diphosphatase
・ 8-oxocoformycin reductase
・ 8-Oxogeranial
・ 8-Oxoguanine
・ 8-oxoguanine deaminase
・ 8-pallo
・ 8-Pass Charlie
・ 8-Phenyltheophylline
・ 8-pounder long gun
・ 8-Prenylnaringenin
8-simplex
・ 8-simplex honeycomb
・ 8-track
・ 8-Track Flashback
・ 8-track tape
・ 8-way
・ 8-Way Santa
・ 8-y km
・ 8. November 1939 (memorial)
・ 8.2 kiloyear event
・ 8.3 filename
・ 8.35 cm PL kanon vz. 22
・ 8.5 Hours
・ 8.5 Metre
・ 8.5mm Mars


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8-simplex : ウィキペディア英語版
8-simplex

In geometry, an 8-simplex is a self-dual regular 8-polytope. It has 9 vertices, 36 edges, 84 triangle faces, 126 tetrahedral cells, 126 5-cell 4-faces, 84 5-simplex 5-faces, 36 6-simplex 6-faces, and 9 7-simplex 7-faces. Its dihedral angle is cos−1(1/8), or approximately 82.82°.
It can also be called an enneazetton, or ennea-8-tope, as a 9-facetted polytope in 8-dimensions. The name ''enneazetton'' is derived from ''ennea'' for nine facets in Greek and ''-zetta'' for having seven-dimensional facets, and ''-on''.
== Coordinates ==

The Cartesian coordinates of the vertices of an origin-centered regular enneazetton having edge length 2 are:
:\left(1/6,\ \sqrt,\ \sqrt,\ \sqrt,\ \sqrt,\ \sqrt,\ \sqrt,\ \pm1\right)
:\left(1/6,\ \sqrt,\ \sqrt,\ \sqrt,\ \sqrt,\ \sqrt,\ -2\sqrt,\ 0\right)
:\left(1/6,\ \sqrt,\ \sqrt,\ \sqrt,\ \sqrt,\ -\sqrt,\ 0,\ 0\right)
:\left(1/6,\ \sqrt,\ \sqrt,\ \sqrt,\ -2\sqrt,\ 0,\ 0,\ 0\right)
:\left(1/6,\ \sqrt,\ \sqrt,\ -\sqrt,\ 0,\ 0,\ 0,\ 0\right)
:\left(1/6,\ \sqrt,\ -\sqrt,\ 0,\ 0,\ 0,\ 0,\ 0\right)
:\left(1/6,\ -\sqrt,\ 0,\ 0,\ 0,\ 0,\ 0,\ 0\right)
:\left(-4/3,\ 0,\ 0,\ 0,\ 0,\ 0,\ 0,\ 0\right)
More simply, the vertices of the ''8-simplex'' can be positioned in 9-space as permutations of (0,0,0,0,0,0,0,0,1). This construction is based on facets of the 9-orthoplex.

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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