| 翻訳と辞書 |
| List of A8 polytopes ： ウィキペディア英語版 |
List of A8 polytopes
In 8-dimensional geometry, there are 135 uniform polytopes with A8 symmetry. There is one self-dual regular form, the 8-simplex with 9 vertices.
Each can be visualized as symmetric orthographic projections in Coxeter planes of the A8 Coxeter group, and other subgroups.
== Graphs==
Symmetric orthographic projections of these 135 polytopes can be made in the A8, A7, A6, A5, A4, A3, A2 Coxeter planes. Ak has ''()'' symmetry.
These 135 polytopes are each shown in these 7 symmetry planes, with vertices and edges drawn, and vertices colored by the number of overlapping vertices in each projective position.
Rectified 8-simplex
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!3
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t2
Birectified 8-simplex
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!4
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t3
Trirectified 8-simplex
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!5
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t0,1
Truncated 8-simplex
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!6
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t0,2
Cantellated 8-simplex
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!7
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t1,2
Bitruncated 8-simplex
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!8
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t0,3
Runcinated 8-simplex
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!9
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t1,3
Bicantellated 8-simplex
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!10
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t2,3
Tritruncated 8-simplex
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!11
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t0,4
Stericated 8-simplex
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!12
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t1,4
Biruncinated 8-simplex
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!13
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t2,4
Tricantellated 8-simplex
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!14
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t3,4
Quadritruncated 8-simplex
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!15
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t0,5
Pentellated 8-simplex
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|- align=center
!16
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t1,5
Bistericated 8-simplex
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|- align=center BGCOLOR="#e0f0e0"
!17
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t2,5
Triruncinated 8-simplex
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|- align=center
!18
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t0,6
Hexicated 8-simplex
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|- align=center BGCOLOR="#e0f0e0"
!19
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t1,6
Bipentellated 8-simplex
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|- align=center BGCOLOR="#e0f0e0"
!20
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t0,7
Heptellated 8-simplex
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|- align=center
!21
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t0,1,2
Cantitruncated 8-simplex
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|- align=center
!22
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t0,1,3
Runcitruncated 8-simplex
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|- align=center
!23
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t0,2,3
Runcicantellated 8-simplex
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|- align=center
!24
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t1,2,3
Bicantitruncated 8-simplex
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|- align=center
!25
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t0,1,4
Steritruncated 8-simplex
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|- align=center
!26
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t0,2,4
Stericantellated 8-simplex
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|- align=center
!27
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t1,2,4
Biruncitruncated 8-simplex
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|- align=center
!28
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t0,3,4
Steriruncinated 8-simplex
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|- align=center
!29
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t1,3,4
Biruncicantellated 8-simplex
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|- align=center
!30
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t2,3,4
Tricantitruncated 8-simplex
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|- align=center
!31
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t0,1,5
Pentitruncated 8-simplex
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|- align=center
!32
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t0,2,5
Penticantellated 8-simplex
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|- align=center
!33
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t1,2,5
Bisteritruncated 8-simplex
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|- align=center
!34
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t0,3,5
Pentiruncinated 8-simplex
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|- align=center
!35
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t1,3,5
Bistericantellated 8-simplex
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|- align=center
!36
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t2,3,5
Triruncitruncated 8-simplex
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|- align=center
!37
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t0,4,5
Pentistericated 8-simplex
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|- align=center
!38
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t1,4,5
Bisteriruncinated 8-simplex
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|- align=center
!39
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t0,1,6
Hexitruncated 8-simplex
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|- align=center
!40
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t0,2,6
Hexicantellated 8-simplex
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|- align=center
!41
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t1,2,6
Bipentitruncated 8-simplex
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|- align=center
!42
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t0,3,6
Hexiruncinated 8-simplex
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|- align=center
!43
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t1,3,6
Bipenticantellated 8-simplex
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!44
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t0,4,6
Hexistericated 8-simplex
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!45
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t0,5,6
Hexipentellated 8-simplex
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!46
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t0,1,7
Heptitruncated 8-simplex
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!47
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t0,2,7
Hepticantellated 8-simplex
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!48
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t0,3,7
Heptiruncinated 8-simplex
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|- align=center
!49
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t0,1,2,3
Runcicantitruncated 8-simplex
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|- align=center
!50
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t0,1,2,4
Stericantitruncated 8-simplex
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|- align=center
!51
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t0,1,3,4
Steriruncitruncated 8-simplex
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|- align=center
!52
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t0,2,3,4
Steriruncicantellated 8-simplex
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|- align=center
!53
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t1,2,3,4
Biruncicantitruncated 8-simplex
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|- align=center
!54
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t0,1,2,5
Penticantitruncated 8-simplex
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|- align=center
!55
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t0,1,3,5
Pentiruncitruncated 8-simplex
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|- align=center
!56
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t0,2,3,5
Pentiruncicantellated 8-simplex
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|- align=center
!57
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t1,2,3,5
Bistericantitruncated 8-simplex
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|- align=center
!58
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t0,1,4,5
Pentisteritruncated 8-simplex
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|- align=center
!59
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t0,2,4,5
Pentistericantellated 8-simplex
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|- align=center
!60
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t1,2,4,5
Bisteriruncitruncated 8-simplex
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|- align=center
!61
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t0,3,4,5
Pentisteriruncinated 8-simplex
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|- align=center
!62
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t1,3,4,5
Bisteriruncicantellated 8-simplex
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|- align=center BGCOLOR="#e0f0e0"
!63
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t2,3,4,5
Triruncicantitruncated 8-simplex
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|- align=center
!64
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t0,1,2,6
Hexicantitruncated 8-simplex
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|- align=center
!65
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t0,1,3,6
Hexiruncitruncated 8-simplex
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|- align=center
!66
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t0,2,3,6
Hexiruncicantellated 8-simplex
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|- align=center
!67
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t1,2,3,6
Bipenticantitruncated 8-simplex
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|- align=center
!68
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t0,1,4,6
Hexisteritruncated 8-simplex
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|- align=center
!69
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t0,2,4,6
Hexistericantellated 8-simplex
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|- align=center
!70
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t1,2,4,6
Bipentiruncitruncated 8-simplex
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|- align=center
!71
|
t0,3,4,6
Hexisteriruncinated 8-simplex
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|- align=center BGCOLOR="#e0f0e0"
!72
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t1,3,4,6
Bipentiruncicantellated 8-simplex
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|80px
|80px
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|- align=center
!73
|
t0,1,5,6
Hexipentitruncated 8-simplex
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|80px
|80px
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|- align=center
!74
|
t0,2,5,6
Hexipenticantellated 8-simplex
|80px
|80px
|80px
|80px
|80px
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|- align=center BGCOLOR="#e0f0e0"
!75
|
t1,2,5,6
Bipentisteritruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
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|80px
|- align=center
!76
|
t0,3,5,6
Hexipentiruncinated 8-simplex
|80px
|80px
|80px
|80px
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|- align=center
!77
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t0,4,5,6
Hexipentistericated 8-simplex
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|80px
|80px
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|- align=center
!78
|
t0,1,2,7
Hepticantitruncated 8-simplex
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|80px
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|- align=center
!79
|
t0,1,3,7
Heptiruncitruncated 8-simplex
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|80px
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|80px
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|- align=center
!80
|
t0,2,3,7
Heptiruncicantellated 8-simplex
|80px
|80px
|80px
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|- align=center
!81
|
t0,1,4,7
Heptisteritruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
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|- align=center
!82
|
t0,2,4,7
Heptistericantellated 8-simplex
|80px
|80px
|80px
|80px
|80px
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|80px
|- align=center BGCOLOR="#e0f0e0"
!83
|
t0,3,4,7
Heptisteriruncinated 8-simplex
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|80px
|80px
|80px
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|- align=center
!84
|
t0,1,5,7
Heptipentitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center BGCOLOR="#e0f0e0"
!85
|
t0,2,5,7
Heptipenticantellated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center BGCOLOR="#e0f0e0"
!86
|
t0,1,6,7
Heptihexitruncated 8-simplex
|80px
|80px
|80px
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|80px
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|- align=center
!87
|
t0,1,2,3,4
Steriruncicantitruncated 8-simplex
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|80px
|80px
|80px
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|80px
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|- align=center
!88
|
t0,1,2,3,5
Pentiruncicantitruncated 8-simplex
|80px
|80px
|80px
|80px
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|- align=center
!89
|
t0,1,2,4,5
Pentistericantitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
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|80px
|- align=center
!90
|
t0,1,3,4,5
Pentisteriruncitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!91
|
t0,2,3,4,5
Pentisteriruncicantellated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!92
|
t1,2,3,4,5
Bisteriruncicantitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!93
|
t0,1,2,3,6
Hexiruncicantitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!94
|
t0,1,2,4,6
Hexistericantitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!95
|
t0,1,3,4,6
Hexisteriruncitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!96
|
t0,2,3,4,6
Hexisteriruncicantellated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!97
|
t1,2,3,4,6
Bipentiruncicantitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!98
|
t0,1,2,5,6
Hexipenticantitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!99
|
t0,1,3,5,6
Hexipentiruncitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!100
|
t0,2,3,5,6
Hexipentiruncicantellated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!101
|
t1,2,3,5,6
Bipentistericantitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!102
|
t0,1,4,5,6
Hexipentisteritruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!103
|
t0,2,4,5,6
Hexipentistericantellated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!104
|
t0,3,4,5,6
Hexipentisteriruncinated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!105
|
t0,1,2,3,7
Heptiruncicantitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!106
|
t0,1,2,4,7
Heptistericantitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!107
|
t0,1,3,4,7
Heptisteriruncitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!108
|
t0,2,3,4,7
Heptisteriruncicantellated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!109
|
t0,1,2,5,7
Heptipenticantitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!110
|
t0,1,3,5,7
Heptipentiruncitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!111
|
t0,2,3,5,7
Heptipentiruncicantellated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!112
|
t0,1,4,5,7
Heptipentisteritruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!113
|
t0,1,2,6,7
Heptihexicantitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!114
|
t0,1,3,6,7
Heptihexiruncitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!115
|
t0,1,2,3,4,5
Pentisteriruncicantitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!116
|
t0,1,2,3,4,6
Hexisteriruncicantitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!117
|
t0,1,2,3,5,6
Hexipentiruncicantitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!118
|
t0,1,2,4,5,6
Hexipentistericantitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!119
|
t0,1,3,4,5,6
Hexipentisteriruncitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!120
|
t0,2,3,4,5,6
Hexipentisteriruncicantellated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center BGCOLOR="#e0f0e0"
!121
|
t1,2,3,4,5,6
Bipentisteriruncicantitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!122
|
t0,1,2,3,4,7
Heptisteriruncicantitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!123
|
t0,1,2,3,5,7
Heptipentiruncicantitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!124
|
t0,1,2,4,5,7
Heptipentistericantitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!125
|
t0,1,3,4,5,7
Heptipentisteriruncitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center BGCOLOR="#e0f0e0"
!126
|
t0,2,3,4,5,7
Heptipentisteriruncicantellated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!127
|
t0,1,2,3,6,7
Heptihexiruncicantitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!128
|
t0,1,2,4,6,7
Heptihexistericantitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center BGCOLOR="#e0f0e0"
!129
|
t0,1,3,4,6,7
Heptihexisteriruncitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center BGCOLOR="#e0f0e0"
!130
|
t0,1,2,5,6,7
Heptihexipenticantitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!131
|
t0,1,2,3,4,5,6
Hexipentisteriruncicantitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!132
|
t0,1,2,3,4,5,7
Heptipentisteriruncicantitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!133
|
t0,1,2,3,4,6,7
Heptihexisteriruncicantitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center
!134
|
t0,1,2,3,5,6,7
Heptihexipentiruncicantitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|- align=center BGCOLOR="#e0f0e0"
!135
|
t0,1,2,3,4,5,6,7
Omnitruncated 8-simplex
|80px
|80px
|80px
|80px
|80px
|80px
|80px
|}
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「List of A8 polytopes」の詳細全文を読む
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