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1 32 polytope : ウィキペディア英語版
1 32 polytope

In 7-dimensional geometry, 132 is a uniform polytope, constructed from the E7 group.
Its Coxeter symbol is 132, describing its bifurcating Coxeter-Dynkin diagram, with a single ring on the end of one of the 1-node sequences.
The rectified 132 is constructed by points at the mid-edges of the 132.
These polytopes are part of a family of 127 (27-1) convex uniform polytopes in 7-dimensions, made of uniform polytope facets and vertex figures, defined by all permutations of rings in this Coxeter-Dynkin diagram: .
==1_32 polytope==


|-
|bgcolor=#e7dcc3|4-faces||23688:
4032
7560 111
12096
|-
|bgcolor=#e7dcc3|Cells||50400:
20160
30240
|-
|bgcolor=#e7dcc3|Faces||40320
|-
|bgcolor=#e7dcc3|Edges||10080
|-
|bgcolor=#e7dcc3|Vertices||576
|-
|bgcolor=#e7dcc3|Vertex figure||t2 25px
|-
|bgcolor=#e7dcc3|Petrie polygon||Octadecagon
|-
|bgcolor=#e7dcc3|Coxeter group||E7, (), order 2903040
|-
|bgcolor=#e7dcc3|Properties||convex
|}
This polytope can tessellate 7-dimensional space, with symbol 133, and Coxeter-Dynkin diagram, . It is the Voronoi cell of the dual E7
*
lattice
.〔(The Voronoi Cells of the E6
*
and E7
*
Lattices
), Edward Pervin〕

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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