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10-demicube
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10-demicube : ウィキペディア英語版
10-demicube

s
|-
|bgcolor=#e7dcc3|Coxeter diagram
|colspan=2| =
|-
|bgcolor=#e7dcc3|9-faces||532||20
512
|-
|bgcolor=#e7dcc3|8-faces||5300||180
5120
|-
|bgcolor=#e7dcc3|7-faces||24000||960
23040
|-
|bgcolor=#e7dcc3|6-faces||64800||3360
61440
|-
|bgcolor=#e7dcc3|5-faces||115584||8064
107520
|-
|bgcolor=#e7dcc3|4-faces||142464||13440
129024
|-
|bgcolor=#e7dcc3|Cells||122880||15360
107520
|-
|bgcolor=#e7dcc3|Faces||61440||
|-
|bgcolor=#e7dcc3|Edges||11520
|-
|bgcolor=#e7dcc3|Vertices||512
|-
|bgcolor=#e7dcc3|Vertex figure
|colspan=2|Rectified 9-simplex
40px
|-
|bgcolor=#e7dcc3|Symmetry group
|colspan=2|D10, () = ()
()+
|-
|bgcolor=#e7dcc3|Dual
|colspan=2|?
|-
|bgcolor=#e7dcc3|Properties
|colspan=2|convex
|}
In geometry, a demidekeract or 10-demicube is a uniform 10-polytope, constructed from the 10-cube with alternated vertices truncated. It is part of a dimensionally infinite family of uniform polytopes called demihypercubes.
E. L. Elte identified it in 1912 as a semiregular polytope, labeling it as HM10 for an 10-dimensional ''half measure'' polytope.
Coxeter named this polytope as 171 from its Coxeter diagram, with a ring on
one of the 1-length branches, and Schläfli symbol \left\3, 3, 3, 3, 3, 3, 3\\3\end\right\} or .
== Cartesian coordinates ==
Cartesian coordinates for the vertices of a demidekeract centered at the origin are alternate halves of the dekeract:
: (±1,±1,±1,±1,±1,±1,±1,±1,±1,±1)
with an odd number of plus signs.

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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