B8 polytope
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8-cube |
8-orthoplex |
8-demicube |
In 8-dimensional geometry, there are 256 uniform polytopes with B8 symmetry. There are two regular forms, the 8-orthoplex and 8-cube, with 16 and 256 vertices respectively. The 8-demicube is added with half the symmetry.
They can be visualized as symmetric orthographic projections in Coxeter planes of the B8 Coxeter group, and other subgroups.
Graphs
[edit]Symmetric orthographic projections of these 256 polytopes can be made in the B8, B7, B6, B5, B4, B3, B2, A7, A5, A3, Coxeter planes. Ak has [k+1] symmetry, and Bk has [2k] symmetry.
These 256 polytopes are each shown in these 10 symmetry planes, with vertices and edges drawn, and vertices colored by the number of overlapping vertices in each projective position.
# | Element counts | Coxeter-Dynkin diagram Schläfli symbol Name | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
B8 [16] |
B7 [14] |
B6 [12] |
B5 [10] |
B4 [8] |
B3 [6] |
B2 [4] |
A7 [8] |
A5 [6] |
A3 [4] | ||
1 | t0{3,3,3,3,3,3,4} 8-orthoplex Diacosipentacontahexazetton (ek) | ||||||||||
2 | t1{3,3,3,3,3,3,4} Rectified 8-orthoplex Rectified diacosipentacontahexazetton (rek) | ||||||||||
3 | t2{3,3,3,3,3,3,4} Birectified 8-orthoplex Birectified diacosipentacontahexazetton (bark) | ||||||||||
4 | t3{3,3,3,3,3,3,4} Trirectified 8-orthoplex Trirectified diacosipentacontahexazetton (tark) | ||||||||||
5 | t3{4,3,3,3,3,3,3} Trirectified 8-cube Trirectified octeract (tro) | ||||||||||
6 | t2{4,3,3,3,3,3,3} Birectified 8-cube Birectified octeract (bro) | ||||||||||
7 | t1{4,3,3,3,3,3,3} Rectified 8-cube Rectified octeract (recto) | ||||||||||
8 | t0{4,3,3,3,3,3,3} 8-cube Octeract (octo) | ||||||||||
9 | t0,1{3,3,3,3,3,3,4} Truncated 8-orthoplex Truncated diacosipentacontahexazetton (tek) | ||||||||||
10 | t0,2{3,3,3,3,3,3,4} Cantellated 8-orthoplex Small rhombated diacosipentacontahexazetton (srek) | ||||||||||
11 | t1,2{3,3,3,3,3,3,4} Bitruncated 8-orthoplex Bitruncated diacosipentacontahexazetton (batek) | ||||||||||
12 | t0,3{3,3,3,3,3,3,4} Runcinated 8-orthoplex Small prismated diacosipentacontahexazetton (spek) | ||||||||||
13 | t1,3{3,3,3,3,3,3,4} Bicantellated 8-orthoplex Small birhombated diacosipentacontahexazetton (sabork) | ||||||||||
14 | t2,3{3,3,3,3,3,3,4} Tritruncated 8-orthoplex Tritruncated diacosipentacontahexazetton (tatek) | ||||||||||
15 | t0,4{3,3,3,3,3,3,4} Stericated 8-orthoplex Small cellated diacosipentacontahexazetton (scak) | ||||||||||
16 | t1,4{3,3,3,3,3,3,4} Biruncinated 8-orthoplex Small biprismated diacosipentacontahexazetton (sabpek) | ||||||||||
17 | t2,4{3,3,3,3,3,3,4} Tricantellated 8-orthoplex Small trirhombated diacosipentacontahexazetton (satrek) | ||||||||||
18 | t3,4{4,3,3,3,3,3,3} Quadritruncated 8-cube Octeractidiacosipentacontahexazetton (oke) | ||||||||||
19 | t0,5{3,3,3,3,3,3,4} Pentellated 8-orthoplex Small terated diacosipentacontahexazetton (setek) | ||||||||||
20 | t1,5{3,3,3,3,3,3,4} Bistericated 8-orthoplex Small bicellated diacosipentacontahexazetton (sibcak) | ||||||||||
21 | t2,5{4,3,3,3,3,3,3} Triruncinated 8-cube Small triprismato-octeractidiacosipentacontahexazetton (sitpoke) | ||||||||||
22 | t2,4{4,3,3,3,3,3,3} Tricantellated 8-cube Small trirhombated octeract (satro) | ||||||||||
23 | t2,3{4,3,3,3,3,3,3} Tritruncated 8-cube Tritruncated octeract (tato) | ||||||||||
24 | t0,6{3,3,3,3,3,3,4} Hexicated 8-orthoplex Small petated diacosipentacontahexazetton (supek) | ||||||||||
25 | t1,6{4,3,3,3,3,3,3} Bipentellated 8-cube Small biteri-octeractidiacosipentacontahexazetton (sabtoke) | ||||||||||
26 | t1,5{4,3,3,3,3,3,3} Bistericated 8-cube Small bicellated octeract (sobco) | ||||||||||
27 | t1,4{4,3,3,3,3,3,3} Biruncinated 8-cube Small biprismated octeract (sabepo) | ||||||||||
28 | t1,3{4,3,3,3,3,3,3} Bicantellated 8-cube Small birhombated octeract (subro) | ||||||||||
29 | t1,2{4,3,3,3,3,3,3} Bitruncated 8-cube Bitruncated octeract (bato) | ||||||||||
30 | t0,7{4,3,3,3,3,3,3} Heptellated 8-cube Small exi-octeractidiacosipentacontahexazetton (saxoke) | ||||||||||
31 | t0,6{4,3,3,3,3,3,3} Hexicated 8-cube Small petated octeract (supo) | ||||||||||
32 | t0,5{4,3,3,3,3,3,3} Pentellated 8-cube Small terated octeract (soto) | ||||||||||
33 | t0,4{4,3,3,3,3,3,3} Stericated 8-cube Small cellated octeract (soco) | ||||||||||
34 | t0,3{4,3,3,3,3,3,3} Runcinated 8-cube Small prismated octeract (sopo) | ||||||||||
35 | t0,2{4,3,3,3,3,3,3} Cantellated 8-cube Small rhombated octeract (soro) | ||||||||||
36 | t0,1{4,3,3,3,3,3,3} Truncated 8-cube Truncated octeract (tocto) | ||||||||||
37 | t0,1,2{3,3,3,3,3,3,4} Cantitruncated 8-orthoplex Great rhombated diacosipentacontahexazetton | ||||||||||
38 | t0,1,3{3,3,3,3,3,3,4} Runcitruncated 8-orthoplex Prismatotruncated diacosipentacontahexazetton | ||||||||||
39 | t0,2,3{3,3,3,3,3,3,4} Runcicantellated 8-orthoplex Prismatorhombated diacosipentacontahexazetton | ||||||||||
40 | t1,2,3{3,3,3,3,3,3,4} Bicantitruncated 8-orthoplex Great birhombated diacosipentacontahexazetton | ||||||||||
41 | t0,1,4{3,3,3,3,3,3,4} Steritruncated 8-orthoplex Cellitruncated diacosipentacontahexazetton | ||||||||||
42 | t0,2,4{3,3,3,3,3,3,4} Stericantellated 8-orthoplex Cellirhombated diacosipentacontahexazetton | ||||||||||
43 | t1,2,4{3,3,3,3,3,3,4} Biruncitruncated 8-orthoplex Biprismatotruncated diacosipentacontahexazetton | ||||||||||
44 | t0,3,4{3,3,3,3,3,3,4} Steriruncinated 8-orthoplex Celliprismated diacosipentacontahexazetton | ||||||||||
45 | t1,3,4{3,3,3,3,3,3,4} Biruncicantellated 8-orthoplex Biprismatorhombated diacosipentacontahexazetton | ||||||||||
46 | t2,3,4{3,3,3,3,3,3,4} Tricantitruncated 8-orthoplex Great trirhombated diacosipentacontahexazetton | ||||||||||
47 | t0,1,5{3,3,3,3,3,3,4} Pentitruncated 8-orthoplex Teritruncated diacosipentacontahexazetton | ||||||||||
48 | t0,2,5{3,3,3,3,3,3,4} Penticantellated 8-orthoplex Terirhombated diacosipentacontahexazetton | ||||||||||
49 | t1,2,5{3,3,3,3,3,3,4} Bisteritruncated 8-orthoplex Bicellitruncated diacosipentacontahexazetton | ||||||||||
50 | t0,3,5{3,3,3,3,3,3,4} Pentiruncinated 8-orthoplex Teriprismated diacosipentacontahexazetton | ||||||||||
51 | t1,3,5{3,3,3,3,3,3,4} Bistericantellated 8-orthoplex Bicellirhombated diacosipentacontahexazetton | ||||||||||
52 | t2,3,5{3,3,3,3,3,3,4} Triruncitruncated 8-orthoplex Triprismatotruncated diacosipentacontahexazetton | ||||||||||
53 | t0,4,5{3,3,3,3,3,3,4} Pentistericated 8-orthoplex Tericellated diacosipentacontahexazetton | ||||||||||
54 | t1,4,5{3,3,3,3,3,3,4} Bisteriruncinated 8-orthoplex Bicelliprismated diacosipentacontahexazetton | ||||||||||
55 | t2,3,5{4,3,3,3,3,3,3} Triruncitruncated 8-cube Triprismatotruncated octeract | ||||||||||
56 | t2,3,4{4,3,3,3,3,3,3} Tricantitruncated 8-cube Great trirhombated octeract | ||||||||||
57 | t0,1,6{3,3,3,3,3,3,4} Hexitruncated 8-orthoplex Petitruncated diacosipentacontahexazetton | ||||||||||
58 | t0,2,6{3,3,3,3,3,3,4} Hexicantellated 8-orthoplex Petirhombated diacosipentacontahexazetton | ||||||||||
59 | t1,2,6{3,3,3,3,3,3,4} Bipentitruncated 8-orthoplex Biteritruncated diacosipentacontahexazetton | ||||||||||
60 | t0,3,6{3,3,3,3,3,3,4} Hexiruncinated 8-orthoplex Petiprismated diacosipentacontahexazetton | ||||||||||
61 | t1,3,6{3,3,3,3,3,3,4} Bipenticantellated 8-orthoplex Biterirhombated diacosipentacontahexazetton | ||||||||||
62 | t1,4,5{4,3,3,3,3,3,3} Bisteriruncinated 8-cube Bicelliprismated octeract | ||||||||||
63 | t0,4,6{3,3,3,3,3,3,4} Hexistericated 8-orthoplex Peticellated diacosipentacontahexazetton | ||||||||||
64 | t1,3,6{4,3,3,3,3,3,3} Bipenticantellated 8-cube Biterirhombated octeract | ||||||||||
65 | t1,3,5{4,3,3,3,3,3,3} Bistericantellated 8-cube Bicellirhombated octeract | ||||||||||
66 | t1,3,4{4,3,3,3,3,3,3} Biruncicantellated 8-cube Biprismatorhombated octeract | ||||||||||
67 | t0,5,6{3,3,3,3,3,3,4} Hexipentellated 8-orthoplex Petiterated diacosipentacontahexazetton | ||||||||||
68 | t1,2,6{4,3,3,3,3,3,3} Bipentitruncated 8-cube Biteritruncated octeract | ||||||||||
69 | t1,2,5{4,3,3,3,3,3,3} Bisteritruncated 8-cube Bicellitruncated octeract | ||||||||||
70 | t1,2,4{4,3,3,3,3,3,3} Biruncitruncated 8-cube Biprismatotruncated octeract | ||||||||||
71 | t1,2,3{4,3,3,3,3,3,3} Bicantitruncated 8-cube Great birhombated octeract | ||||||||||
72 | t0,1,7{3,3,3,3,3,3,4} Heptitruncated 8-orthoplex Exitruncated diacosipentacontahexazetton | ||||||||||
73 | t0,2,7{3,3,3,3,3,3,4} Hepticantellated 8-orthoplex Exirhombated diacosipentacontahexazetton | ||||||||||
74 | t0,5,6{4,3,3,3,3,3,3} Hexipentellated 8-cube Petiterated octeract | ||||||||||
75 | t0,3,7{3,3,3,3,3,3,4} Heptiruncinated 8-orthoplex Exiprismated diacosipentacontahexazetton | ||||||||||
76 | t0,4,6{4,3,3,3,3,3,3} Hexistericated 8-cube Peticellated octeract | ||||||||||
77 | t0,4,5{4,3,3,3,3,3,3} Pentistericated 8-cube Tericellated octeract | ||||||||||
78 | t0,3,7{4,3,3,3,3,3,3} Heptiruncinated 8-cube Exiprismated octeract | ||||||||||
79 | t0,3,6{4,3,3,3,3,3,3} Hexiruncinated 8-cube Petiprismated octeract | ||||||||||
80 | t0,3,5{4,3,3,3,3,3,3} Pentiruncinated 8-cube Teriprismated octeract | ||||||||||
81 | t0,3,4{4,3,3,3,3,3,3} Steriruncinated 8-cube Celliprismated octeract | ||||||||||
82 | t0,2,7{4,3,3,3,3,3,3} Hepticantellated 8-cube Exirhombated octeract | ||||||||||
83 | t0,2,6{4,3,3,3,3,3,3} Hexicantellated 8-cube Petirhombated octeract | ||||||||||
84 | t0,2,5{4,3,3,3,3,3,3} Penticantellated 8-cube Terirhombated octeract | ||||||||||
85 | t0,2,4{4,3,3,3,3,3,3} Stericantellated 8-cube Cellirhombated octeract | ||||||||||
86 | t0,2,3{4,3,3,3,3,3,3} Runcicantellated 8-cube Prismatorhombated octeract | ||||||||||
87 | t0,1,7{4,3,3,3,3,3,3} Heptitruncated 8-cube Exitruncated octeract | ||||||||||
88 | t0,1,6{4,3,3,3,3,3,3} Hexitruncated 8-cube Petitruncated octeract | ||||||||||
89 | t0,1,5{4,3,3,3,3,3,3} Pentitruncated 8-cube Teritruncated octeract | ||||||||||
90 | t0,1,4{4,3,3,3,3,3,3} Steritruncated 8-cube Cellitruncated octeract | ||||||||||
91 | t0,1,3{4,3,3,3,3,3,3} Runcitruncated 8-cube Prismatotruncated octeract | ||||||||||
92 | t0,1,2{4,3,3,3,3,3,3} Cantitruncated 8-cube Great rhombated octeract | ||||||||||
93 | t0,1,2,3{3,3,3,3,3,3,4} Runcicantitruncated 8-orthoplex Great prismated diacosipentacontahexazetton | ||||||||||
94 | t0,1,2,4{3,3,3,3,3,3,4} Stericantitruncated 8-orthoplex Celligreatorhombated diacosipentacontahexazetton | ||||||||||
95 | t0,1,3,4{3,3,3,3,3,3,4} Steriruncitruncated 8-orthoplex Celliprismatotruncated diacosipentacontahexazetton | ||||||||||
96 | t0,2,3,4{3,3,3,3,3,3,4} Steriruncicantellated 8-orthoplex Celliprismatorhombated diacosipentacontahexazetton | ||||||||||
97 | t1,2,3,4{3,3,3,3,3,3,4} Biruncicantitruncated 8-orthoplex Great biprismated diacosipentacontahexazetton | ||||||||||
98 | t0,1,2,5{3,3,3,3,3,3,4} Penticantitruncated 8-orthoplex Terigreatorhombated diacosipentacontahexazetton | ||||||||||
99 | t0,1,3,5{3,3,3,3,3,3,4} Pentiruncitruncated 8-orthoplex Teriprismatotruncated diacosipentacontahexazetton | ||||||||||
100 | t0,2,3,5{3,3,3,3,3,3,4} Pentiruncicantellated 8-orthoplex Teriprismatorhombated diacosipentacontahexazetton | ||||||||||
101 | t1,2,3,5{3,3,3,3,3,3,4} Bistericantitruncated 8-orthoplex Bicelligreatorhombated diacosipentacontahexazetton | ||||||||||
102 | t0,1,4,5{3,3,3,3,3,3,4} Pentisteritruncated 8-orthoplex Tericellitruncated diacosipentacontahexazetton | ||||||||||
103 | t0,2,4,5{3,3,3,3,3,3,4} Pentistericantellated 8-orthoplex Tericellirhombated diacosipentacontahexazetton | ||||||||||
104 | t1,2,4,5{3,3,3,3,3,3,4} Bisteriruncitruncated 8-orthoplex Bicelliprismatotruncated diacosipentacontahexazetton | ||||||||||
105 | t0,3,4,5{3,3,3,3,3,3,4} Pentisteriruncinated 8-orthoplex Tericelliprismated diacosipentacontahexazetton | ||||||||||
106 | t1,3,4,5{3,3,3,3,3,3,4} Bisteriruncicantellated 8-orthoplex Bicelliprismatorhombated diacosipentacontahexazetton | ||||||||||
107 | t2,3,4,5{4,3,3,3,3,3,3} Triruncicantitruncated 8-cube Great triprismato-octeractidiacosipentacontahexazetton | ||||||||||
108 | t0,1,2,6{3,3,3,3,3,3,4} Hexicantitruncated 8-orthoplex Petigreatorhombated diacosipentacontahexazetton | ||||||||||
109 | t0,1,3,6{3,3,3,3,3,3,4} Hexiruncitruncated 8-orthoplex Petiprismatotruncated diacosipentacontahexazetton | ||||||||||
110 | t0,2,3,6{3,3,3,3,3,3,4} Hexiruncicantellated 8-orthoplex Petiprismatorhombated diacosipentacontahexazetton | ||||||||||
111 | t1,2,3,6{3,3,3,3,3,3,4} Bipenticantitruncated 8-orthoplex Biterigreatorhombated diacosipentacontahexazetton | ||||||||||
112 | t0,1,4,6{3,3,3,3,3,3,4} Hexisteritruncated 8-orthoplex Peticellitruncated diacosipentacontahexazetton | ||||||||||
113 | t0,2,4,6{3,3,3,3,3,3,4} Hexistericantellated 8-orthoplex Peticellirhombated diacosipentacontahexazetton | ||||||||||
114 | t1,2,4,6{3,3,3,3,3,3,4} Bipentiruncitruncated 8-orthoplex Biteriprismatotruncated diacosipentacontahexazetton | ||||||||||
115 | t0,3,4,6{3,3,3,3,3,3,4} Hexisteriruncinated 8-orthoplex Peticelliprismated diacosipentacontahexazetton | ||||||||||
116 | t1,3,4,6{4,3,3,3,3,3,3} Bipentiruncicantellated 8-cube Biteriprismatorhombi-octeractidiacosipentacontahexazetton | ||||||||||
117 | t1,3,4,5{4,3,3,3,3,3,3} Bisteriruncicantellated 8-cube Bicelliprismatorhombated octeract | ||||||||||
118 | t0,1,5,6{3,3,3,3,3,3,4} Hexipentitruncated 8-orthoplex Petiteritruncated diacosipentacontahexazetton | ||||||||||
119 | t0,2,5,6{3,3,3,3,3,3,4} Hexipenticantellated 8-orthoplex Petiterirhombated diacosipentacontahexazetton | ||||||||||
120 | t1,2,5,6{4,3,3,3,3,3,3} Bipentisteritruncated 8-cube Bitericellitrunki-octeractidiacosipentacontahexazetton | ||||||||||
121 | t0,3,5,6{3,3,3,3,3,3,4} Hexipentiruncinated 8-orthoplex Petiteriprismated diacosipentacontahexazetton | ||||||||||
122 | t1,2,4,6{4,3,3,3,3,3,3} Bipentiruncitruncated 8-cube Biteriprismatotruncated octeract | ||||||||||
123 | t1,2,4,5{4,3,3,3,3,3,3} Bisteriruncitruncated 8-cube Bicelliprismatotruncated octeract | ||||||||||
124 | t0,4,5,6{3,3,3,3,3,3,4} Hexipentistericated 8-orthoplex Petitericellated diacosipentacontahexazetton | ||||||||||
125 | t1,2,3,6{4,3,3,3,3,3,3} Bipenticantitruncated 8-cube Biterigreatorhombated octeract | ||||||||||
126 | t1,2,3,5{4,3,3,3,3,3,3} Bistericantitruncated 8-cube Bicelligreatorhombated octeract | ||||||||||
127 | t1,2,3,4{4,3,3,3,3,3,3} Biruncicantitruncated 8-cube Great biprismated octeract | ||||||||||
128 | t0,1,2,7{3,3,3,3,3,3,4} Hepticantitruncated 8-orthoplex Exigreatorhombated diacosipentacontahexazetton | ||||||||||
129 | t0,1,3,7{3,3,3,3,3,3,4} Heptiruncitruncated 8-orthoplex Exiprismatotruncated diacosipentacontahexazetton | ||||||||||
130 | t0,2,3,7{3,3,3,3,3,3,4} Heptiruncicantellated 8-orthoplex Exiprismatorhombated diacosipentacontahexazetton | ||||||||||
131 | t0,4,5,6{4,3,3,3,3,3,3} Hexipentistericated 8-cube Petitericellated octeract | ||||||||||
132 | t0,1,4,7{3,3,3,3,3,3,4} Heptisteritruncated 8-orthoplex Exicellitruncated diacosipentacontahexazetton | ||||||||||
133 | t0,2,4,7{3,3,3,3,3,3,4} Heptistericantellated 8-orthoplex Exicellirhombated diacosipentacontahexazetton | ||||||||||
134 | t0,3,5,6{4,3,3,3,3,3,3} Hexipentiruncinated 8-cube Petiteriprismated octeract | ||||||||||
135 | t0,3,4,7{4,3,3,3,3,3,3} Heptisteriruncinated 8-cube Exicelliprismato-octeractidiacosipentacontahexazetton | ||||||||||
136 | t0,3,4,6{4,3,3,3,3,3,3} Hexisteriruncinated 8-cube Peticelliprismated octeract | ||||||||||
137 | t0,3,4,5{4,3,3,3,3,3,3} Pentisteriruncinated 8-cube Tericelliprismated octeract | ||||||||||
138 | t0,1,5,7{3,3,3,3,3,3,4} Heptipentitruncated 8-orthoplex Exiteritruncated diacosipentacontahexazetton | ||||||||||
139 | t0,2,5,7{4,3,3,3,3,3,3} Heptipenticantellated 8-cube Exiterirhombi-octeractidiacosipentacontahexazetton | ||||||||||
140 | t0,2,5,6{4,3,3,3,3,3,3} Hexipenticantellated 8-cube Petiterirhombated octeract | ||||||||||
141 | t0,2,4,7{4,3,3,3,3,3,3} Heptistericantellated 8-cube Exicellirhombated octeract | ||||||||||
142 | t0,2,4,6{4,3,3,3,3,3,3} Hexistericantellated 8-cube Peticellirhombated octeract | ||||||||||
143 | t0,2,4,5{4,3,3,3,3,3,3} Pentistericantellated 8-cube Tericellirhombated octeract | ||||||||||
144 | t0,2,3,7{4,3,3,3,3,3,3} Heptiruncicantellated 8-cube Exiprismatorhombated octeract | ||||||||||
145 | t0,2,3,6{4,3,3,3,3,3,3} Hexiruncicantellated 8-cube Petiprismatorhombated octeract | ||||||||||
146 | t0,2,3,5{4,3,3,3,3,3,3} Pentiruncicantellated 8-cube Teriprismatorhombated octeract | ||||||||||
147 | t0,2,3,4{4,3,3,3,3,3,3} Steriruncicantellated 8-cube Celliprismatorhombated octeract | ||||||||||
148 | t0,1,6,7{4,3,3,3,3,3,3} Heptihexitruncated 8-cube Exipetitrunki-octeractidiacosipentacontahexazetton | ||||||||||
149 | t0,1,5,7{4,3,3,3,3,3,3} Heptipentitruncated 8-cube Exiteritruncated octeract | ||||||||||
150 | t0,1,5,6{4,3,3,3,3,3,3} Hexipentitruncated 8-cube Petiteritruncated octeract | ||||||||||
151 | t0,1,4,7{4,3,3,3,3,3,3} Heptisteritruncated 8-cube Exicellitruncated octeract | ||||||||||
152 | t0,1,4,6{4,3,3,3,3,3,3} Hexisteritruncated 8-cube Peticellitruncated octeract | ||||||||||
153 | t0,1,4,5{4,3,3,3,3,3,3} Pentisteritruncated 8-cube Tericellitruncated octeract | ||||||||||
154 | t0,1,3,7{4,3,3,3,3,3,3} Heptiruncitruncated 8-cube Exiprismatotruncated octeract | ||||||||||
155 | t0,1,3,6{4,3,3,3,3,3,3} Hexiruncitruncated 8-cube Petiprismatotruncated octeract | ||||||||||
156 | t0,1,3,5{4,3,3,3,3,3,3} Pentiruncitruncated 8-cube Teriprismatotruncated octeract | ||||||||||
157 | t0,1,3,4{4,3,3,3,3,3,3} Steriruncitruncated 8-cube Celliprismatotruncated octeract | ||||||||||
158 | t0,1,2,7{4,3,3,3,3,3,3} Hepticantitruncated 8-cube Exigreatorhombated octeract | ||||||||||
159 | t0,1,2,6{4,3,3,3,3,3,3} Hexicantitruncated 8-cube Petigreatorhombated octeract | ||||||||||
160 | t0,1,2,5{4,3,3,3,3,3,3} Penticantitruncated 8-cube Terigreatorhombated octeract | ||||||||||
161 | t0,1,2,4{4,3,3,3,3,3,3} Stericantitruncated 8-cube Celligreatorhombated octeract | ||||||||||
162 | t0,1,2,3{4,3,3,3,3,3,3} Runcicantitruncated 8-cube Great prismated octeract | ||||||||||
163 | t0,1,2,3,4{3,3,3,3,3,3,4} Steriruncicantitruncated 8-orthoplex Great cellated diacosipentacontahexazetton | ||||||||||
164 | t0,1,2,3,5{3,3,3,3,3,3,4} Pentiruncicantitruncated 8-orthoplex Terigreatoprismated diacosipentacontahexazetton | ||||||||||
165 | t0,1,2,4,5{3,3,3,3,3,3,4} Pentistericantitruncated 8-orthoplex Tericelligreatorhombated diacosipentacontahexazetton | ||||||||||
166 | t0,1,3,4,5{3,3,3,3,3,3,4} Pentisteriruncitruncated 8-orthoplex Tericelliprismatotruncated diacosipentacontahexazetton | ||||||||||
167 | t0,2,3,4,5{3,3,3,3,3,3,4} Pentisteriruncicantellated 8-orthoplex Tericelliprismatorhombated diacosipentacontahexazetton | ||||||||||
168 | t1,2,3,4,5{3,3,3,3,3,3,4} Bisteriruncicantitruncated 8-orthoplex Great bicellated diacosipentacontahexazetton | ||||||||||
169 | t0,1,2,3,6{3,3,3,3,3,3,4} Hexiruncicantitruncated 8-orthoplex Petigreatoprismated diacosipentacontahexazetton | ||||||||||
170 | t0,1,2,4,6{3,3,3,3,3,3,4} Hexistericantitruncated 8-orthoplex Peticelligreatorhombated diacosipentacontahexazetton | ||||||||||
171 | t0,1,3,4,6{3,3,3,3,3,3,4} Hexisteriruncitruncated 8-orthoplex Peticelliprismatotruncated diacosipentacontahexazetton | ||||||||||
172 | t0,2,3,4,6{3,3,3,3,3,3,4} Hexisteriruncicantellated 8-orthoplex Peticelliprismatorhombated diacosipentacontahexazetton | ||||||||||
173 | t1,2,3,4,6{3,3,3,3,3,3,4} Bipentiruncicantitruncated 8-orthoplex Biterigreatoprismated diacosipentacontahexazetton | ||||||||||
174 | t0,1,2,5,6{3,3,3,3,3,3,4} Hexipenticantitruncated 8-orthoplex Petiterigreatorhombated diacosipentacontahexazetton | ||||||||||
175 | t0,1,3,5,6{3,3,3,3,3,3,4} Hexipentiruncitruncated 8-orthoplex Petiteriprismatotruncated diacosipentacontahexazetton | ||||||||||
176 | t0,2,3,5,6{3,3,3,3,3,3,4} Hexipentiruncicantellated 8-orthoplex Petiteriprismatorhombated diacosipentacontahexazetton | ||||||||||
177 | t1,2,3,5,6{3,3,3,3,3,3,4} Bipentistericantitruncated 8-orthoplex Bitericelligreatorhombated diacosipentacontahexazetton | ||||||||||
178 | t0,1,4,5,6{3,3,3,3,3,3,4} Hexipentisteritruncated 8-orthoplex Petitericellitruncated diacosipentacontahexazetton | ||||||||||
179 | t0,2,4,5,6{3,3,3,3,3,3,4} Hexipentistericantellated 8-orthoplex Petitericellirhombated diacosipentacontahexazetton | ||||||||||
180 | t1,2,3,5,6{4,3,3,3,3,3,3} Bipentistericantitruncated 8-cube Bitericelligreatorhombated octeract | ||||||||||
181 | t0,3,4,5,6{3,3,3,3,3,3,4} Hexipentisteriruncinated 8-orthoplex Petitericelliprismated diacosipentacontahexazetton | ||||||||||
182 | t1,2,3,4,6{4,3,3,3,3,3,3} Bipentiruncicantitruncated 8-cube Biterigreatoprismated octeract | ||||||||||
183 | t1,2,3,4,5{4,3,3,3,3,3,3} Bisteriruncicantitruncated 8-cube Great bicellated octeract | ||||||||||
184 | t0,1,2,3,7{3,3,3,3,3,3,4} Heptiruncicantitruncated 8-orthoplex Exigreatoprismated diacosipentacontahexazetton | ||||||||||
185 | t0,1,2,4,7{3,3,3,3,3,3,4} Heptistericantitruncated 8-orthoplex Exicelligreatorhombated diacosipentacontahexazetton | ||||||||||
186 | t0,1,3,4,7{3,3,3,3,3,3,4} Heptisteriruncitruncated 8-orthoplex Exicelliprismatotruncated diacosipentacontahexazetton | ||||||||||
187 | t0,2,3,4,7{3,3,3,3,3,3,4} Heptisteriruncicantellated 8-orthoplex Exicelliprismatorhombated diacosipentacontahexazetton | ||||||||||
188 | t0,3,4,5,6{4,3,3,3,3,3,3} Hexipentisteriruncinated 8-cube Petitericelliprismated octeract | ||||||||||
189 | t0,1,2,5,7{3,3,3,3,3,3,4} Heptipenticantitruncated 8-orthoplex Exiterigreatorhombated diacosipentacontahexazetton | ||||||||||
190 | t0,1,3,5,7{3,3,3,3,3,3,4} Heptipentiruncitruncated 8-orthoplex Exiteriprismatotruncated diacosipentacontahexazetton | ||||||||||
191 | t0,2,3,5,7{3,3,3,3,3,3,4} Heptipentiruncicantellated 8-orthoplex Exiteriprismatorhombated diacosipentacontahexazetton | ||||||||||
192 | t0,2,4,5,6{4,3,3,3,3,3,3} Hexipentistericantellated 8-cube Petitericellirhombated octeract | ||||||||||
193 | t0,1,4,5,7{3,3,3,3,3,3,4} Heptipentisteritruncated 8-orthoplex Exitericellitruncated diacosipentacontahexazetton | ||||||||||
194 | t0,2,3,5,7{4,3,3,3,3,3,3} Heptipentiruncicantellated 8-cube Exiteriprismatorhombated octeract | ||||||||||
195 | t0,2,3,5,6{4,3,3,3,3,3,3} Hexipentiruncicantellated 8-cube Petiteriprismatorhombated octeract | ||||||||||
196 | t0,2,3,4,7{4,3,3,3,3,3,3} Heptisteriruncicantellated 8-cube Exicelliprismatorhombated octeract | ||||||||||
197 | t0,2,3,4,6{4,3,3,3,3,3,3} Hexisteriruncicantellated 8-cube Peticelliprismatorhombated octeract | ||||||||||
198 | t0,2,3,4,5{4,3,3,3,3,3,3} Pentisteriruncicantellated 8-cube Tericelliprismatorhombated octeract | ||||||||||
199 | t0,1,2,6,7{3,3,3,3,3,3,4} Heptihexicantitruncated 8-orthoplex Exipetigreatorhombated diacosipentacontahexazetton | ||||||||||
200 | t0,1,3,6,7{3,3,3,3,3,3,4} Heptihexiruncitruncated 8-orthoplex Exipetiprismatotruncated diacosipentacontahexazetton | ||||||||||
201 | t0,1,4,5,7{4,3,3,3,3,3,3} Heptipentisteritruncated 8-cube Exitericellitruncated octeract | ||||||||||
202 | t0,1,4,5,6{4,3,3,3,3,3,3} Hexipentisteritruncated 8-cube Petitericellitruncated octeract | ||||||||||
203 | t0,1,3,6,7{4,3,3,3,3,3,3} Heptihexiruncitruncated 8-cube Exipetiprismatotruncated octeract | ||||||||||
204 | t0,1,3,5,7{4,3,3,3,3,3,3} Heptipentiruncitruncated 8-cube Exiteriprismatotruncated octeract | ||||||||||
205 | t0,1,3,5,6{4,3,3,3,3,3,3} Hexipentiruncitruncated 8-cube Petiteriprismatotruncated octeract | ||||||||||
206 | t0,1,3,4,7{4,3,3,3,3,3,3} Heptisteriruncitruncated 8-cube Exicelliprismatotruncated octeract | ||||||||||
207 | t0,1,3,4,6{4,3,3,3,3,3,3} Hexisteriruncitruncated 8-cube Peticelliprismatotruncated octeract | ||||||||||
208 | t0,1,3,4,5{4,3,3,3,3,3,3} Pentisteriruncitruncated 8-cube Tericelliprismatotruncated octeract | ||||||||||
209 | t0,1,2,6,7{4,3,3,3,3,3,3} Heptihexicantitruncated 8-cube Exipetigreatorhombated octeract | ||||||||||
210 | t0,1,2,5,7{4,3,3,3,3,3,3} Heptipenticantitruncated 8-cube Exiterigreatorhombated octeract | ||||||||||
211 | t0,1,2,5,6{4,3,3,3,3,3,3} Hexipenticantitruncated 8-cube Petiterigreatorhombated octeract | ||||||||||
212 | t0,1,2,4,7{4,3,3,3,3,3,3} Heptistericantitruncated 8-cube Exicelligreatorhombated octeract | ||||||||||
213 | t0,1,2,4,6{4,3,3,3,3,3,3} Hexistericantitruncated 8-cube Peticelligreatorhombated octeract | ||||||||||
214 | t0,1,2,4,5{4,3,3,3,3,3,3} Pentistericantitruncated 8-cube Tericelligreatorhombated octeract | ||||||||||
215 | t0,1,2,3,7{4,3,3,3,3,3,3} Heptiruncicantitruncated 8-cube Exigreatoprismated octeract | ||||||||||
216 | t0,1,2,3,6{4,3,3,3,3,3,3} Hexiruncicantitruncated 8-cube Petigreatoprismated octeract | ||||||||||
217 | t0,1,2,3,5{4,3,3,3,3,3,3} Pentiruncicantitruncated 8-cube Terigreatoprismated octeract | ||||||||||
218 | t0,1,2,3,4{4,3,3,3,3,3,3} Steriruncicantitruncated 8-cube Great cellated octeract | ||||||||||
219 | t0,1,2,3,4,5{3,3,3,3,3,3,4} Pentisteriruncicantitruncated 8-orthoplex Great terated diacosipentacontahexazetton | ||||||||||
220 | t0,1,2,3,4,6{3,3,3,3,3,3,4} Hexisteriruncicantitruncated 8-orthoplex Petigreatocellated diacosipentacontahexazetton | ||||||||||
221 | t0,1,2,3,5,6{3,3,3,3,3,3,4} Hexipentiruncicantitruncated 8-orthoplex Petiterigreatoprismated diacosipentacontahexazetton | ||||||||||
222 | t0,1,2,4,5,6{3,3,3,3,3,3,4} Hexipentistericantitruncated 8-orthoplex Petitericelligreatorhombated diacosipentacontahexazetton | ||||||||||
223 | t0,1,3,4,5,6{3,3,3,3,3,3,4} Hexipentisteriruncitruncated 8-orthoplex Petitericelliprismatotruncated diacosipentacontahexazetton | ||||||||||
224 | t0,2,3,4,5,6{3,3,3,3,3,3,4} Hexipentisteriruncicantellated 8-orthoplex Petitericelliprismatorhombated diacosipentacontahexazetton | ||||||||||
225 | t1,2,3,4,5,6{4,3,3,3,3,3,3} Bipentisteriruncicantitruncated 8-cube Great biteri-octeractidiacosipentacontahexazetton | ||||||||||
226 | t0,1,2,3,4,7{3,3,3,3,3,3,4} Heptisteriruncicantitruncated 8-orthoplex Exigreatocellated diacosipentacontahexazetton | ||||||||||
227 | t0,1,2,3,5,7{3,3,3,3,3,3,4} Heptipentiruncicantitruncated 8-orthoplex Exiterigreatoprismated diacosipentacontahexazetton | ||||||||||
228 | t0,1,2,4,5,7{3,3,3,3,3,3,4} Heptipentistericantitruncated 8-orthoplex Exitericelligreatorhombated diacosipentacontahexazetton | ||||||||||
229 | t0,1,3,4,5,7{3,3,3,3,3,3,4} Heptipentisteriruncitruncated 8-orthoplex Exitericelliprismatotruncated diacosipentacontahexazetton | ||||||||||
230 | t0,2,3,4,5,7{4,3,3,3,3,3,3} Heptipentisteriruncicantellated 8-cube Exitericelliprismatorhombi-octeractidiacosipentacontahexazetton | ||||||||||
231 | t0,2,3,4,5,6{4,3,3,3,3,3,3} Hexipentisteriruncicantellated 8-cube Petitericelliprismatorhombated octeract | ||||||||||
232 | t0,1,2,3,6,7{3,3,3,3,3,3,4} Heptihexiruncicantitruncated 8-orthoplex Exipetigreatoprismated diacosipentacontahexazetton | ||||||||||
233 | t0,1,2,4,6,7{3,3,3,3,3,3,4} Heptihexistericantitruncated 8-orthoplex Exipeticelligreatorhombated diacosipentacontahexazetton | ||||||||||
234 | t0,1,3,4,6,7{4,3,3,3,3,3,3} Heptihexisteriruncitruncated 8-cube Exipeticelliprismatotrunki-octeractidiacosipentacontahexazetton | ||||||||||
235 | t0,1,3,4,5,7{4,3,3,3,3,3,3} Heptipentisteriruncitruncated 8-cube Exitericelliprismatotruncated octeract | ||||||||||
236 | t0,1,3,4,5,6{4,3,3,3,3,3,3} Hexipentisteriruncitruncated 8-cube Petitericelliprismatotruncated octeract | ||||||||||
237 | t0,1,2,5,6,7{4,3,3,3,3,3,3} Heptihexipenticantitruncated 8-cube Exipetiterigreatorhombi-octeractidiacosipentacontahexazetton | ||||||||||
238 | t0,1,2,4,6,7{4,3,3,3,3,3,3} Heptihexistericantitruncated 8-cube Exipeticelligreatorhombated octeract | ||||||||||
239 | t0,1,2,4,5,7{4,3,3,3,3,3,3} Heptipentistericantitruncated 8-cube Exitericelligreatorhombated octeract | ||||||||||
240 | t0,1,2,4,5,6{4,3,3,3,3,3,3} Hexipentistericantitruncated 8-cube Petitericelligreatorhombated octeract | ||||||||||
241 | t0,1,2,3,6,7{4,3,3,3,3,3,3} Heptihexiruncicantitruncated 8-cube Exipetigreatoprismated octeract | ||||||||||
242 | t0,1,2,3,5,7{4,3,3,3,3,3,3} Heptipentiruncicantitruncated 8-cube Exiterigreatoprismated octeract | ||||||||||
243 | t0,1,2,3,5,6{4,3,3,3,3,3,3} Hexipentiruncicantitruncated 8-cube Petiterigreatoprismated octeract | ||||||||||
244 | t0,1,2,3,4,7{4,3,3,3,3,3,3} Heptisteriruncicantitruncated 8-cube Exigreatocellated octeract | ||||||||||
245 | t0,1,2,3,4,6{4,3,3,3,3,3,3} Hexisteriruncicantitruncated 8-cube Petigreatocellated octeract | ||||||||||
246 | t0,1,2,3,4,5{4,3,3,3,3,3,3} Pentisteriruncicantitruncated 8-cube Great terated octeract | ||||||||||
247 | t0,1,2,3,4,5,6{3,3,3,3,3,3,4} Hexipentisteriruncicantitruncated 8-orthoplex Great petated diacosipentacontahexazetton | ||||||||||
248 | t0,1,2,3,4,5,7{3,3,3,3,3,3,4} Heptipentisteriruncicantitruncated 8-orthoplex Exigreatoterated diacosipentacontahexazetton | ||||||||||
249 | t0,1,2,3,4,6,7{3,3,3,3,3,3,4} Heptihexisteriruncicantitruncated 8-orthoplex Exipetigreatocellated diacosipentacontahexazetton | ||||||||||
250 | t0,1,2,3,5,6,7{3,3,3,3,3,3,4} Heptihexipentiruncicantitruncated 8-orthoplex Exipetiterigreatoprismated diacosipentacontahexazetton | ||||||||||
251 | t0,1,2,3,5,6,7{4,3,3,3,3,3,3} Heptihexipentiruncicantitruncated 8-cube Exipetiterigreatoprismated octeract | ||||||||||
252 | t0,1,2,3,4,6,7{4,3,3,3,3,3,3} Heptihexisteriruncicantitruncated 8-cube Exipetigreatocellated octeract | ||||||||||
253 | t0,1,2,3,4,5,7{4,3,3,3,3,3,3} Heptipentisteriruncicantitruncated 8-cube Exigreatoterated octeract | ||||||||||
254 | t0,1,2,3,4,5,6{4,3,3,3,3,3,3} Hexipentisteriruncicantitruncated 8-cube Great petated octeract | ||||||||||
255 | t0,1,2,3,4,5,6,7{4,3,3,3,3,3,3} Omnitruncated 8-cube Great exi-octeractidiacosipentacontahexazetton | ||||||||||
256 | h0{4,3,3,3,3,3,3} 8-demicube Hemiocteract |
References
[edit]- Klitzing, Richard. "8D uniform polytopes (polyzetta)".