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List of B6 polytopes : ウィキペディア英語版
List of B6 polytopes

In 6-dimensional geometry, there are 64 uniform polytopes with B6 symmetry. There are two regular forms, the 6-orthoplex, and 6-cube with 12 and 64 vertices respectively. The 6-demicube is added with half the symmetry.
They can be visualized as symmetric orthographic projections in Coxeter planes of the B6 Coxeter group, and other subgroups.
== Graphs ==

Symmetric orthographic projections of these 64 polytopes can be made in the B6, B5, B4, B3, B2, A5, A3, Coxeter planes. Ak has ''()'' symmetry, and Bk has ''()'' symmetry.
These 64 polytopes are each shown in these 8 symmetry planes, with vertices and edges drawn, and vertices colored by the number of overlapping vertices in each projective position.
Rectified 6-orthoplex
Rectified hexacontatetrapeton (rag)
|- align=center BGCOLOR="#f0e0e0"
!3
|80px||80px||80px||80px||80px||80px||80px||
t2
Birectified 6-orthoplex
Birectified hexacontatetrapeton (brag)
|- align=center BGCOLOR="#e0e0f0"
!4
|80px||80px||80px||80px||80px||80px||80px||
t2
Birectified 6-cube
Birectified hexeract (brox)
|- align=center BGCOLOR="#e0e0f0"
!5
|80px||80px||80px||80px||80px||80px||80px||
t1
Rectified 6-cube
Rectified hexeract (rax)
|- align=center BGCOLOR="#e0e0f0"
!6
|80px||80px||80px||80px||80px||80px||80px||
t0
6-cube
Hexeract (ax)
|- align=center BGCOLOR="#f0e0e0"
!7
|80px||80px||80px||80px||80px||80px||80px||
t0,1
Truncated 6-orthoplex
Truncated hexacontatetrapeton (tag)
|- align=center BGCOLOR="#f0e0e0"
!8
|80px||80px||80px||80px||80px||80px||80px||
t0,2
Cantellated 6-orthoplex
Small rhombated hexacontatetrapeton (srog)
|- align=center BGCOLOR="#f0e0e0"
!9
|80px||80px||80px||80px||80px||80px||80px||
t1,2
Bitruncated 6-orthoplex
Bitruncated hexacontatetrapeton (botag)
|- align=center BGCOLOR="#f0e0e0"
!10
|80px||80px||80px||80px||80px||80px||80px||
t0,3
Runcinated 6-orthoplex
Small prismated hexacontatetrapeton (spog)
|- align=center BGCOLOR="#f0e0e0"
!11
|80px||80px||80px||80px||80px||80px||80px||
t1,3
Bicantellated 6-orthoplex
Small birhombated hexacontatetrapeton (siborg)
|- align=center BGCOLOR="#e0f0e0"
!12
|80px||80px||80px||80px||80px||80px||80px||
t2,3
Tritruncated 6-cube
Hexeractihexacontitetrapeton (xog)
|- align=center BGCOLOR="#f0e0e0"
!13
|80px||80px||80px||80px||80px||80px||80px||
t0,4
Stericated 6-orthoplex
Small cellated hexacontatetrapeton (scag)
|- align=center BGCOLOR="#e0f0e0"
!14
|80px||80px||80px||80px||80px||80px||80px||
t1,4
Biruncinated 6-cube
Small biprismato-hexeractihexacontitetrapeton (sobpoxog)
|- align=center BGCOLOR="#e0e0f0"
!15
|80px||80px||80px||80px||80px||80px||80px||
t1,3
Bicantellated 6-cube
Small birhombated hexeract (saborx)
|- align=center BGCOLOR="#e0e0f0"
!16
|80px||80px||80px||80px||80px||80px||80px||
t1,2
Bitruncated 6-cube
Bitruncated hexeract (botox)
|- align=center BGCOLOR="#e0f0e0"
!17
|80px||80px||80px||80px||80px||80px||80px||
t0,5
Pentellated 6-cube
Small teri-hexeractihexacontitetrapeton (stoxog)
|- align=center BGCOLOR="#e0e0f0"
!18
|80px||80px||80px||80px||80px||80px||80px||
t0,4
Stericated 6-cube
Small cellated hexeract (scox)
|- align=center BGCOLOR="#e0e0f0"
!19
|80px||80px||80px||80px||80px||80px||80px||
t0,3
Runcinated 6-cube
Small prismated hexeract (spox)
|- align=center BGCOLOR="#e0e0f0"
!20
|80px||80px||80px||80px||80px||80px||80px||
t0,2
Cantellated 6-cube
Small rhombated hexeract (srox)
|- align=center BGCOLOR="#e0e0f0"
!21
|80px||80px||80px||80px||80px||80px||80px||
t0,1
Truncated 6-cube
Truncated hexeract (tox)
|- align=center BGCOLOR="#f0e0e0"
!22
|80px||80px||80px||80px||80px||80px||80px||
t0,1,2
Cantitruncated 6-orthoplex
Great rhombated hexacontatetrapeton (grog)
|- align=center BGCOLOR="#f0e0e0"
!23
|80px||80px||80px||80px||80px||80px||80px||
t0,1,3
Runcitruncated 6-orthoplex
Prismatotruncated hexacontatetrapeton (potag)
|- align=center BGCOLOR="#f0e0e0"
!24
|80px||80px||80px||80px||80px||80px||80px||
t0,2,3
Runcicantellated 6-orthoplex
Prismatorhombated hexacontatetrapeton (prog)
|- align=center BGCOLOR="#f0e0e0"
!25
|80px||80px||80px||80px||80px||80px||80px||
t1,2,3
Bicantitruncated 6-orthoplex
Great birhombated hexacontatetrapeton (gaborg)
|- align=center BGCOLOR="#f0e0e0"
!26
|80px||80px||80px||80px||80px||80px||80px||
t0,1,4
Steritruncated 6-orthoplex
Cellitruncated hexacontatetrapeton (catog)
|- align=center BGCOLOR="#f0e0e0"
!27
|80px||80px||80px||80px||80px||80px||80px||
t0,2,4
Stericantellated 6-orthoplex
Cellirhombated hexacontatetrapeton (crag)
|- align=center BGCOLOR="#f0e0e0"
!28
|80px||80px||80px||80px||80px||80px||80px||
t1,2,4
Biruncitruncated 6-orthoplex
Biprismatotruncated hexacontatetrapeton (boprax)
|- align=center BGCOLOR="#f0e0e0"
!29
|80px||80px||80px||80px||80px||80px||80px||
t0,3,4
Steriruncinated 6-orthoplex
Celliprismated hexacontatetrapeton (copog)
|- align=center BGCOLOR="#e0e0f0"
!30
|80px||80px||80px||80px||80px||80px||80px||
t1,2,4
Biruncitruncated 6-cube
Biprismatotruncated hexeract (boprag)
|- align=center BGCOLOR="#e0e0f0"
!31
|80px||80px||80px||80px||80px||80px||80px||
t1,2,3
Bicantitruncated 6-cube
Great birhombated hexeract (gaborx)
|- align=center BGCOLOR="#f0e0e0"
!32
|80px||80px||80px||80px||80px||80px||80px||
t0,1,5
Pentitruncated 6-orthoplex
Teritruncated hexacontatetrapeton (tacox)
|- align=center BGCOLOR="#f0e0e0"
!33
|80px||80px||80px||80px||80px||80px||80px||
t0,2,5
Penticantellated 6-orthoplex
Terirhombated hexacontatetrapeton (tapox)
|- align=center BGCOLOR="#e0e0f0"
!34
|80px||80px||80px||80px||80px||80px||80px||
t0,3,4
Steriruncinated 6-cube
Celliprismated hexeract (copox)
|- align=center BGCOLOR="#e0e0f0"
!35
|80px||80px||80px||80px||80px||80px||80px||
t0,2,5
Penticantellated 6-cube
Terirhombated hexeract (topag)
|- align=center BGCOLOR="#e0e0f0"
!36
|80px||80px||80px||80px||80px||80px||80px||
t0,2,4
Stericantellated 6-cube
Cellirhombated hexeract (crax)
|- align=center BGCOLOR="#e0e0f0"
!37
|80px||80px||80px||80px||80px||80px||80px||
t0,2,3
Runcicantellated 6-cube
Prismatorhombated hexeract (prox)
|- align=center BGCOLOR="#e0e0f0"
!38
|80px||80px||80px||80px||80px||80px||80px||
t0,1,5
Pentitruncated 6-cube
Teritruncated hexeract (tacog)
|- align=center BGCOLOR="#e0e0f0"
!39
|80px||80px||80px||80px||80px||80px||80px||
t0,1,4
Steritruncated 6-cube
Cellitruncated hexeract (catax)
|- align=center BGCOLOR="#e0e0f0"
!40
|80px||80px||80px||80px||80px||80px||80px||
t0,1,3
Runcitruncated 6-cube
Prismatotruncated hexeract (potax)
|- align=center BGCOLOR="#e0e0f0"
!41
|80px||80px||80px||80px||80px||80px||80px||
t0,1,2
Cantitruncated 6-cube
Great rhombated hexeract (grox)
|- align=center BGCOLOR="#f0e0e0"
!42
|80px||80px||80px||80px||80px||80px||80px||
t0,1,2,3
Runcicantitruncated 6-orthoplex
Great prismated hexacontatetrapeton (gopog)
|- align=center BGCOLOR="#f0e0e0"
!43
|80px||80px||80px||80px||80px||80px||80px||
t0,1,2,4
Stericantitruncated 6-orthoplex
Celligreatorhombated hexacontatetrapeton (cagorg)
|- align=center BGCOLOR="#f0e0e0"
!44
|80px||80px||80px||80px||80px||80px||80px||
t0,1,3,4
Steriruncitruncated 6-orthoplex
Celliprismatotruncated hexacontatetrapeton (captog)
|- align=center BGCOLOR="#f0e0e0"
!45
|80px||80px||80px||80px||80px||80px||80px||
t0,2,3,4
Steriruncicantellated 6-orthoplex
Celliprismatorhombated hexacontatetrapeton (coprag)
|- align=center BGCOLOR="#e0f0e0"
!46
|80px||80px||80px||80px||80px||80px||80px||
t1,2,3,4
Biruncicantitruncated 6-cube
Great biprismato-hexeractihexacontitetrapeton (gobpoxog)
|- align=center BGCOLOR="#f0e0e0"
!47
|80px||80px||80px||80px||80px||80px||80px||
t0,1,2,5
Penticantitruncated 6-orthoplex
Terigreatorhombated hexacontatetrapeton (togrig)
|- align=center BGCOLOR="#f0e0e0"
!48
|80px||80px||80px||80px||80px||80px||80px||
t0,1,3,5
Pentiruncitruncated 6-orthoplex
Teriprismatotruncated hexacontatetrapeton (tocrax)
|- align=center BGCOLOR="#e0f0e0"
!49
|80px||80px||80px||80px||80px||80px||80px||
t0,2,3,5
Pentiruncicantellated 6-cube
Teriprismatorhombi-hexeractihexacontitetrapeton (tiprixog)
|- align=center BGCOLOR="#e0e0f0"
!50
|80px||80px||80px||80px||80px||80px||80px||
t0,2,3,4
Steriruncicantellated 6-cube
Celliprismatorhombated hexeract (coprix)
|- align=center BGCOLOR="#e0f0e0"
!51
|80px||80px||80px||80px||80px||80px||80px||
t0,1,4,5
Pentisteritruncated 6-cube
Tericelli-hexeractihexacontitetrapeton (tactaxog)
|- align=center BGCOLOR="#e0e0f0"
!52
|80px||80px||80px||80px||80px||80px||80px||
t0,1,3,5
Pentiruncitruncated 6-cube
Teriprismatotruncated hexeract (tocrag)
|- align=center BGCOLOR="#e0e0f0"
!53
|80px||80px||80px||80px||80px||80px||80px||
t0,1,3,4
Steriruncitruncated 6-cube
Celliprismatotruncated hexeract (captix)
|- align=center BGCOLOR="#e0e0f0"
!54
|80px||80px||80px||80px||80px||80px||80px||
t0,1,2,5
Penticantitruncated 6-cube
Terigreatorhombated hexeract (togrix)
|- align=center BGCOLOR="#e0e0f0"
!55
|80px||80px||80px||80px||80px||80px||80px||
t0,1,2,4
Stericantitruncated 6-cube
Celligreatorhombated hexeract (cagorx)
|- align=center BGCOLOR="#e0e0f0"
!56
|80px||80px||80px||80px||80px||80px||80px||
t0,1,2,3
Runcicantitruncated 6-cube
Great prismated hexeract (gippox)
|- align=center BGCOLOR="#f0e0e0"
!57
|80px||80px||80px||80px||80px||80px||80px||
t0,1,2,3,4
Steriruncicantitruncated 6-orthoplex
Great cellated hexacontatetrapeton (gocog)
|- align=center BGCOLOR="#f0e0e0"
!58
|80px||80px||80px||80px||80px||80px||80px||
t0,1,2,3,5
Pentiruncicantitruncated 6-orthoplex
Terigreatoprismated hexacontatetrapeton (tagpog)
|- align=center BGCOLOR="#f0e0e0"
!59
|80px||80px||80px||80px||80px||80px||80px||
t0,1,2,4,5
Pentistericantitruncated 6-orthoplex
Tericelligreatorhombated hexacontatetrapeton (tecagorg)
|- align=center BGCOLOR="#e0e0f0"
!60
|80px||80px||80px||80px||80px||80px||80px||
t0,1,2,4,5
Pentistericantitruncated 6-cube
Tericelligreatorhombated hexeract (tocagrax)
|- align=center BGCOLOR="#e0e0f0"
!61
|80px||80px||80px||80px||80px||80px||80px||
t0,1,2,3,5
Pentiruncicantitruncated 6-cube
Terigreatoprismated hexeract (tagpox)
|- align=center BGCOLOR="#e0e0f0"
!62
|80px||80px||80px||80px||80px||80px||80px||
t0,1,2,3,4
Steriruncicantitruncated 6-cube
Great cellated hexeract (gocax)
|- align=center BGCOLOR="#e0f0e0"
!63
|80px||80px||80px||80px||80px||80px||80px||
t0,1,2,3,4,5
Omnitruncated 6-cube
Great teri-hexeractihexacontitetrapeton (gotaxog)
|- align=center BGCOLOR="#d0f0f0"
!64
|| 80px|| 80px||80px|| 80px|| 80px|| 80px|| 80px
||
h0
6-demicube
Hemihexeract
|}

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 B6 polytopes」の詳細全文を読む



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