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7-orthoplex
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7-orthoplex : ウィキペディア英語版
7-orthoplex

|-
|bgcolor=#e7dcc3|Coxeter-Dynkin diagrams||
|-
|bgcolor=#e7dcc3|6-faces||128
|-
|bgcolor=#e7dcc3|5-faces||448
|-
|bgcolor=#e7dcc3|4-faces||672
|-
|bgcolor=#e7dcc3|Cells||560
|-
|bgcolor=#e7dcc3|Faces||280
|-
|bgcolor=#e7dcc3|Edges||84
|-
|bgcolor=#e7dcc3|Vertices||14
|-
|bgcolor=#e7dcc3|Vertex figure||6-orthoplex
|-
|bgcolor=#e7dcc3|Petrie polygon||tetradecagon
|-
|bgcolor=#e7dcc3|Coxeter groups||C7, ()
D7, ()
|-
|bgcolor=#e7dcc3|Dual||7-cube
|-
|bgcolor=#e7dcc3|Properties||convex
|}
In geometry, a 7-orthoplex, or 7-cross polytope, is a regular 7-polytope with 14 vertices, 84 edges, 280 triangle faces, 560 tetrahedron cells, 672 5-cells ''4-faces'', 448 ''5-faces'', and 128 ''6-faces''.
It has two constructed forms, the first being regular with Schläfli symbol , and the second with alternately labeled (checkerboarded) facets, with Schläfli symbol or Coxeter symbol 411.
It is a part of an infinite family of polytopes, called cross-polytopes or ''orthoplexes''. The dual polytope is the 7-hypercube, or hepteract.
== Alternate names==

* Heptacross, derived from combining the family name ''cross polytope'' with ''hept'' for seven (dimensions) in Greek.
* Hecatonicosoctaexon as a 128-facetted 7-polytope (polyexon).

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「7-orthoplex」の詳細全文を読む



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