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{{DISPLAYTITLE:A8 polytope}} Orthographic projections
A8 Coxeter plane8-simplex
{{CDD>node_1|3|node|3|node|3|node|3|node|3|node|3|node|3|node}} | 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. GraphsSymmetric orthographic projections of these 135 polytopes can be made in the A8, A7, A6, A5, A4, A3, A2 Coxeter planes. Ak has [k+1] 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. | # | Coxeter-Dynkin diagram
Schläfli symbol
Johnson name | Ak orthogonal projection graphs | A8
[9] | A7
[8] | A6
[7] | A5
[6] | A4
[5] | A3
[4] | A2
[3] |
|---|
| 1 | node|3|node|3|node|3|node|3|node|3|node|3|node|3|node_1}}
t0{3,3,3,3,3,3,3}
8-simplex |
|---|
| 2 | node|3|node|3|node|3|node|3|node|3|node|3|node_1|3|node}}
t1{3,3,3,3,3,3,3}
Rectified 8-simplex |
|---|
| 3 | node|3|node|3|node|3|node|3|node|3|node_1|3|node|3|node}}
t2{3,3,3,3,3,3,3}
Birectified 8-simplex |
|---|
| 4 | node|3|node|3|node|3|node|3|node_1|3|node|3|node|3|node}}
t3{3,3,3,3,3,3,3}
Trirectified 8-simplex |
|---|
| 5 | node|3|node|3|node|3|node|3|node|3|node|3|node_1|3|node_1}}
t0,1{3,3,3,3,3,3,3}
Truncated 8-simplex |
|---|
| 6 | node|3|node|3|node|3|node|3|node|3|node_1|3|node|3|node_1}}
t0,2{3,3,3,3,3,3,3}
Cantellated 8-simplex |
|---|
| 7 | node|3|node|3|node|3|node|3|node|3|node_1|3|node_1|3|node}}
t1,2{3,3,3,3,3,3,3}
Bitruncated 8-simplex |
|---|
| 8 | node|3|node|3|node|3|node|3|node_1|3|node|3|node|3|node_1}}
t0,3{3,3,3,3,3,3,3}
Runcinated 8-simplex |
|---|
| 9 | node|3|node|3|node|3|node|3|node_1|3|node|3|node_1|3|node}}
t1,3{3,3,3,3,3,3,3}
Bicantellated 8-simplex |
|---|
| 10 | node|3|node|3|node|3|node|3|node_1|3|node_1|3|node|3|node}}
t2,3{3,3,3,3,3,3,3}
Tritruncated 8-simplex |
|---|
| 11 | node|3|node|3|node|3|node_1|3|node|3|node|3|node|3|node_1}}
t0,4{3,3,3,3,3,3,3}
Stericated 8-simplex |
|---|
| 12 | node|3|node|3|node|3|node_1|3|node|3|node|3|node_1|3|node}}
t1,4{3,3,3,3,3,3,3}
Biruncinated 8-simplex |
|---|
| 13 | node|3|node|3|node|3|node_1|3|node|3|node_1|3|node|3|node}}
t2,4{3,3,3,3,3,3,3}
Tricantellated 8-simplex |
|---|
| 14 | node|3|node|3|node|3|node_1|3|node_1|3|node|3|node|3|node}}
t3,4{3,3,3,3,3,3,3}
Quadritruncated 8-simplex |
|---|
| 15 | node|3|node|3|node_1|3|node|3|node|3|node|3|node|3|node_1}}
t0,5{3,3,3,3,3,3,3}
Pentellated 8-simplex |
|---|
| 16 | node|3|node|3|node_1|3|node|3|node|3|node|3|node_1|3|node}}
t1,5{3,3,3,3,3,3,3}
Bistericated 8-simplex |
|---|
| 17 | node|3|node|3|node_1|3|node|3|node|3|node_1|3|node|3|node}}
t2,5{3,3,3,3,3,3,3}
Triruncinated 8-simplex |
|---|
| 18 | node|3|node_1|3|node|3|node|3|node|3|node|3|node|3|node_1}}
t0,6{3,3,3,3,3,3,3}
Hexicated 8-simplex |
|---|
| 19 | node|3|node_1|3|node|3|node|3|node|3|node|3|node_1|3|node}}
t1,6{3,3,3,3,3,3,3}
Bipentellated 8-simplex |
|---|
| 20 | node_1|3|node|3|node|3|node|3|node|3|node|3|node|3|node_1}}
t0,7{3,3,3,3,3,3,3}
Heptellated 8-simplex |
|---|
| 21 | node|3|node|3|node|3|node|3|node|3|node_1|3|node_1|3|node_1}}
t0,1,2{3,3,3,3,3,3,3}
Cantitruncated 8-simplex |
|---|
| 22 | node|3|node|3|node|3|node|3|node_1|3|node|3|node_1|3|node_1}}
t0,1,3{3,3,3,3,3,3,3}
Runcitruncated 8-simplex |
|---|
| 23 | node|3|node|3|node|3|node|3|node_1|3|node_1|3|node|3|node_1}}
t0,2,3{3,3,3,3,3,3,3}
Runcicantellated 8-simplex |
|---|
| 24 | node|3|node|3|node|3|node|3|node_1|3|node_1|3|node_1|3|node}}
t1,2,3{3,3,3,3,3,3,3}
Bicantitruncated 8-simplex |
|---|
| 25 | node|3|node|3|node|3|node_1|3|node|3|node|3|node_1|3|node_1}}
t0,1,4{3,3,3,3,3,3,3}
Steritruncated 8-simplex |
|---|
| 26 | node|3|node|3|node|3|node_1|3|node|3|node_1|3|node|3|node_1}}
t0,2,4{3,3,3,3,3,3,3}
Stericantellated 8-simplex |
|---|
| 27 | node|3|node|3|node|3|node_1|3|node|3|node_1|3|node_1|3|node}}
t1,2,4{3,3,3,3,3,3,3}
Biruncitruncated 8-simplex |
|---|
| 28 | node|3|node|3|node|3|node_1|3|node_1|3|node|3|node|3|node_1}}
t0,3,4{3,3,3,3,3,3,3}
Steriruncinated 8-simplex |
|---|
| 29 | node|3|node|3|node|3|node_1|3|node_1|3|node|3|node_1|3|node}}
t1,3,4{3,3,3,3,3,3,3}
Biruncicantellated 8-simplex |
|---|
| 30 | node|3|node|3|node|3|node_1|3|node_1|3|node_1|3|node|3|node}}
t2,3,4{3,3,3,3,3,3,3}
Tricantitruncated 8-simplex |
|---|
| 31 | node|3|node|3|node_1|3|node|3|node|3|node|3|node_1|3|node_1}}
t0,1,5{3,3,3,3,3,3,3}
Pentitruncated 8-simplex |
|---|
| 32 | node|3|node|3|node_1|3|node|3|node|3|node_1|3|node|3|node_1}}
t0,2,5{3,3,3,3,3,3,3}
Penticantellated 8-simplex |
|---|
| 33 | node|3|node|3|node_1|3|node|3|node|3|node_1|3|node_1|3|node}}
t1,2,5{3,3,3,3,3,3,3}
Bisteritruncated 8-simplex |
|---|
| 34 | node|3|node|3|node_1|3|node|3|node_1|3|node|3|node|3|node_1}}
t0,3,5{3,3,3,3,3,3,3}
Pentiruncinated 8-simplex |
|---|
| 35 | node|3|node|3|node_1|3|node|3|node_1|3|node|3|node_1|3|node}}
t1,3,5{3,3,3,3,3,3,3}
Bistericantellated 8-simplex |
|---|
| 36 | node|3|node|3|node_1|3|node|3|node_1|3|node_1|3|node|3|node}}
t2,3,5{3,3,3,3,3,3,3}
Triruncitruncated 8-simplex |
|---|
| 37 | node|3|node|3|node_1|3|node_1|3|node|3|node|3|node|3|node_1}}
t0,4,5{3,3,3,3,3,3,3}
Pentistericated 8-simplex |
|---|
| 38 | node|3|node|3|node_1|3|node_1|3|node|3|node|3|node_1|3|node}}
t1,4,5{3,3,3,3,3,3,3}
Bisteriruncinated 8-simplex |
|---|
| 39 | node|3|node_1|3|node|3|node|3|node|3|node|3|node_1|3|node_1}}
t0,1,6{3,3,3,3,3,3,3}
Hexitruncated 8-simplex |
|---|
| 40 | node|3|node_1|3|node|3|node|3|node|3|node_1|3|node|3|node_1}}
t0,2,6{3,3,3,3,3,3,3}
Hexicantellated 8-simplex |
|---|
| 41 | node|3|node_1|3|node|3|node|3|node|3|node_1|3|node_1|3|node}}
t1,2,6{3,3,3,3,3,3,3}
Bipentitruncated 8-simplex |
|---|
| 42 | node|3|node_1|3|node|3|node|3|node_1|3|node|3|node|3|node_1}}
t0,3,6{3,3,3,3,3,3,3}
Hexiruncinated 8-simplex |
|---|
| 43 | node|3|node_1|3|node|3|node|3|node_1|3|node|3|node_1|3|node}}
t1,3,6{3,3,3,3,3,3,3}
Bipenticantellated 8-simplex |
|---|
| 44 | node|3|node_1|3|node|3|node_1|3|node|3|node|3|node|3|node_1}}
t0,4,6{3,3,3,3,3,3,3}
Hexistericated 8-simplex |
|---|
| 45 | node|3|node_1|3|node_1|3|node|3|node|3|node|3|node|3|node_1}}
t0,5,6{3,3,3,3,3,3,3}
Hexipentellated 8-simplex |
|---|
| 46 | node_1|3|node|3|node|3|node|3|node|3|node|3|node_1|3|node_1}}
t0,1,7{3,3,3,3,3,3,3}
Heptitruncated 8-simplex |
|---|
| 47 | node_1|3|node|3|node|3|node|3|node|3|node_1|3|node|3|node_1}}
t0,2,7{3,3,3,3,3,3,3}
Hepticantellated 8-simplex |
|---|
| 48 | node_1|3|node|3|node|3|node|3|node_1|3|node|3|node|3|node_1}}
t0,3,7{3,3,3,3,3,3,3}
Heptiruncinated 8-simplex |
|---|
| 49 | node|3|node|3|node|3|node|3|node_1|3|node_1|3|node_1|3|node_1}}
t0,1,2,3{3,3,3,3,3,3,3}
Runcicantitruncated 8-simplex |
|---|
| 50 | node|3|node|3|node|3|node_1|3|node|3|node_1|3|node_1|3|node_1}}
t0,1,2,4{3,3,3,3,3,3,3}
Stericantitruncated 8-simplex |
|---|
| 51 | node|3|node|3|node|3|node_1|3|node_1|3|node|3|node_1|3|node_1}}
t0,1,3,4{3,3,3,3,3,3,3}
Steriruncitruncated 8-simplex |
|---|
| 52 | node|3|node|3|node|3|node_1|3|node_1|3|node_1|3|node|3|node_1}}
t0,2,3,4{3,3,3,3,3,3,3}
Steriruncicantellated 8-simplex |
|---|
| 53 | node|3|node|3|node|3|node_1|3|node_1|3|node_1|3|node_1|3|node}}
t1,2,3,4{3,3,3,3,3,3,3}
Biruncicantitruncated 8-simplex |
|---|
| 54 | node|3|node|3|node_1|3|node|3|node|3|node_1|3|node_1|3|node_1}}
t0,1,2,5{3,3,3,3,3,3,3}
Penticantitruncated 8-simplex |
|---|
| 55 | node|3|node|3|node_1|3|node|3|node_1|3|node|3|node_1|3|node_1}}
t0,1,3,5{3,3,3,3,3,3,3}
Pentiruncitruncated 8-simplex |
|---|
| 56 | node|3|node|3|node_1|3|node|3|node_1|3|node_1|3|node|3|node_1}}
t0,2,3,5{3,3,3,3,3,3,3}
Pentiruncicantellated 8-simplex |
|---|
| 57 | node|3|node|3|node_1|3|node|3|node_1|3|node_1|3|node_1|3|node}}
t1,2,3,5{3,3,3,3,3,3,3}
Bistericantitruncated 8-simplex |
|---|
| 58 | node|3|node|3|node_1|3|node_1|3|node|3|node|3|node_1|3|node_1}}
t0,1,4,5{3,3,3,3,3,3,3}
Pentisteritruncated 8-simplex |
|---|
| 59 | node|3|node|3|node_1|3|node_1|3|node|3|node_1|3|node|3|node_1}}
t0,2,4,5{3,3,3,3,3,3,3}
Pentistericantellated 8-simplex |
|---|
| 60 | node|3|node|3|node_1|3|node_1|3|node|3|node_1|3|node_1|3|node}}
t1,2,4,5{3,3,3,3,3,3,3}
Bisteriruncitruncated 8-simplex |
|---|
| 61 | node|3|node|3|node_1|3|node_1|3|node_1|3|node|3|node|3|node_1}}
t0,3,4,5{3,3,3,3,3,3,3}
Pentisteriruncinated 8-simplex |
|---|
| 62 | node|3|node|3|node_1|3|node_1|3|node_1|3|node|3|node_1|3|node}}
t1,3,4,5{3,3,3,3,3,3,3}
Bisteriruncicantellated 8-simplex |
|---|
| 63 | node|3|node|3|node_1|3|node_1|3|node_1|3|node_1|3|node|3|node}}
t2,3,4,5{3,3,3,3,3,3,3}
Triruncicantitruncated 8-simplex |
|---|
| 64 | node|3|node_1|3|node|3|node|3|node|3|node_1|3|node_1|3|node_1}}
t0,1,2,6{3,3,3,3,3,3,3}
Hexicantitruncated 8-simplex |
|---|
| 65 | node|3|node_1|3|node|3|node|3|node_1|3|node|3|node_1|3|node_1}}
t0,1,3,6{3,3,3,3,3,3,3}
Hexiruncitruncated 8-simplex |
|---|
| 66 | node|3|node_1|3|node|3|node|3|node_1|3|node_1|3|node|3|node_1}}
t0,2,3,6{3,3,3,3,3,3,3}
Hexiruncicantellated 8-simplex |
|---|
| 67 | node|3|node_1|3|node|3|node|3|node_1|3|node_1|3|node_1|3|node}}
t1,2,3,6{3,3,3,3,3,3,3}
Bipenticantitruncated 8-simplex |
|---|
| 68 | node|3|node_1|3|node|3|node_1|3|node|3|node|3|node_1|3|node_1}}
t0,1,4,6{3,3,3,3,3,3,3}
Hexisteritruncated 8-simplex |
|---|
| 69 | node|3|node_1|3|node|3|node_1|3|node|3|node_1|3|node|3|node_1}}
t0,2,4,6{3,3,3,3,3,3,3}
Hexistericantellated 8-simplex |
|---|
| 70 | node|3|node_1|3|node|3|node_1|3|node|3|node_1|3|node_1|3|node}}
t1,2,4,6{3,3,3,3,3,3,3}
Bipentiruncitruncated 8-simplex |
|---|
| 71 | node|3|node_1|3|node|3|node_1|3|node_1|3|node|3|node|3|node_1}}
t0,3,4,6{3,3,3,3,3,3,3}
Hexisteriruncinated 8-simplex |
|---|
| 72 | node|3|node_1|3|node|3|node_1|3|node_1|3|node|3|node_1|3|node}}
t1,3,4,6{3,3,3,3,3,3,3}
Bipentiruncicantellated 8-simplex |
|---|
| 73 | node|3|node_1|3|node_1|3|node|3|node|3|node|3|node_1|3|node_1}}
t0,1,5,6{3,3,3,3,3,3,3}
Hexipentitruncated 8-simplex |
|---|
| 74 | node|3|node_1|3|node_1|3|node|3|node|3|node_1|3|node|3|node_1}}
t0,2,5,6{3,3,3,3,3,3,3}
Hexipenticantellated 8-simplex |
|---|
| 75 | node|3|node_1|3|node_1|3|node|3|node|3|node_1|3|node_1|3|node}}
t1,2,5,6{3,3,3,3,3,3,3}
Bipentisteritruncated 8-simplex |
|---|
| 76 | node|3|node_1|3|node_1|3|node|3|node_1|3|node|3|node|3|node_1}}
t0,3,5,6{3,3,3,3,3,3,3}
Hexipentiruncinated 8-simplex |
|---|
| 77 | node|3|node_1|3|node_1|3|node_1|3|node|3|node|3|node|3|node_1}}
t0,4,5,6{3,3,3,3,3,3,3}
Hexipentistericated 8-simplex |
|---|
| 78 | node_1|3|node|3|node|3|node|3|node|3|node_1|3|node_1|3|node_1}}
t0,1,2,7{3,3,3,3,3,3,3}
Hepticantitruncated 8-simplex |
|---|
| 79 | node_1|3|node|3|node|3|node|3|node_1|3|node|3|node_1|3|node_1}}
t0,1,3,7{3,3,3,3,3,3,3}
Heptiruncitruncated 8-simplex |
|---|
| 80 | node_1|3|node|3|node|3|node|3|node_1|3|node_1|3|node|3|node_1}}
t0,2,3,7{3,3,3,3,3,3,3}
Heptiruncicantellated 8-simplex |
|---|
| 81 | node_1|3|node|3|node|3|node_1|3|node|3|node|3|node_1|3|node_1}}
t0,1,4,7{3,3,3,3,3,3,3}
Heptisteritruncated 8-simplex |
|---|
| 82 | node_1|3|node|3|node|3|node_1|3|node|3|node_1|3|node|3|node_1}}
t0,2,4,7{3,3,3,3,3,3,3}
Heptistericantellated 8-simplex |
|---|
| 83 | node_1|3|node|3|node|3|node_1|3|node_1|3|node|3|node|3|node_1}}
t0,3,4,7{3,3,3,3,3,3,3}
Heptisteriruncinated 8-simplex |
|---|
| 84 | node_1|3|node|3|node_1|3|node|3|node|3|node|3|node_1|3|node_1}}
t0,1,5,7{3,3,3,3,3,3,3}
Heptipentitruncated 8-simplex |
|---|
| 85 | node_1|3|node|3|node_1|3|node|3|node|3|node_1|3|node|3|node_1}}
t0,2,5,7{3,3,3,3,3,3,3}
Heptipenticantellated 8-simplex |
|---|
| 86 | node_1|3|node_1|3|node|3|node|3|node|3|node|3|node_1|3|node_1}}
t0,1,6,7{3,3,3,3,3,3,3}
Heptihexitruncated 8-simplex |
|---|
| 87 | node|3|node|3|node|3|node_1|3|node_1|3|node_1|3|node_1|3|node_1}}
t0,1,2,3,4{3,3,3,3,3,3,3}
Steriruncicantitruncated 8-simplex |
|---|
| 88 | node|3|node|3|node_1|3|node|3|node_1|3|node_1|3|node_1|3|node_1}}
t0,1,2,3,5{3,3,3,3,3,3,3}
Pentiruncicantitruncated 8-simplex |
|---|
| 89 | node|3|node|3|node_1|3|node_1|3|node|3|node_1|3|node_1|3|node_1}}
t0,1,2,4,5{3,3,3,3,3,3,3}
Pentistericantitruncated 8-simplex |
|---|
| 90 | node|3|node|3|node_1|3|node_1|3|node_1|3|node|3|node_1|3|node_1}}
t0,1,3,4,5{3,3,3,3,3,3,3}
Pentisteriruncitruncated 8-simplex |
|---|
| 91 | node|3|node|3|node_1|3|node_1|3|node_1|3|node_1|3|node|3|node_1}}
t0,2,3,4,5{3,3,3,3,3,3,3}
Pentisteriruncicantellated 8-simplex |
|---|
| 92 | node|3|node|3|node_1|3|node_1|3|node_1|3|node_1|3|node_1|3|node}}
t1,2,3,4,5{3,3,3,3,3,3,3}
Bisteriruncicantitruncated 8-simplex |
|---|
| 93 | node|3|node_1|3|node|3|node|3|node_1|3|node_1|3|node_1|3|node_1}}
t0,1,2,3,6{3,3,3,3,3,3,3}
Hexiruncicantitruncated 8-simplex |
|---|
| 94 | node|3|node_1|3|node|3|node_1|3|node|3|node_1|3|node_1|3|node_1}}
t0,1,2,4,6{3,3,3,3,3,3,3}
Hexistericantitruncated 8-simplex |
|---|
| 95 | node|3|node_1|3|node|3|node_1|3|node_1|3|node|3|node_1|3|node_1}}
t0,1,3,4,6{3,3,3,3,3,3,3}
Hexisteriruncitruncated 8-simplex |
|---|
| 96 | node|3|node_1|3|node|3|node_1|3|node_1|3|node_1|3|node|3|node_1}}
t0,2,3,4,6{3,3,3,3,3,3,3}
Hexisteriruncicantellated 8-simplex |
|---|
| 97 | node|3|node_1|3|node|3|node_1|3|node_1|3|node_1|3|node_1|3|node}}
t1,2,3,4,6{3,3,3,3,3,3,3}
Bipentiruncicantitruncated 8-simplex |
|---|
| 98 | node|3|node_1|3|node_1|3|node|3|node|3|node_1|3|node_1|3|node_1}}
t0,1,2,5,6{3,3,3,3,3,3,3}
Hexipenticantitruncated 8-simplex |
|---|
| 99 | node|3|node_1|3|node_1|3|node|3|node_1|3|node|3|node_1|3|node_1}}
t0,1,3,5,6{3,3,3,3,3,3,3}
Hexipentiruncitruncated 8-simplex |
|---|
| 100 | node|3|node_1|3|node_1|3|node|3|node_1|3|node_1|3|node|3|node_1}}
t0,2,3,5,6{3,3,3,3,3,3,3}
Hexipentiruncicantellated 8-simplex |
|---|
| 101 | node|3|node_1|3|node_1|3|node|3|node_1|3|node_1|3|node_1|3|node}}
t1,2,3,5,6{3,3,3,3,3,3,3}
Bipentistericantitruncated 8-simplex |
|---|
| 102 | node|3|node_1|3|node_1|3|node_1|3|node|3|node|3|node_1|3|node_1}}
t0,1,4,5,6{3,3,3,3,3,3,3}
Hexipentisteritruncated 8-simplex |
|---|
| 103 | node|3|node_1|3|node_1|3|node_1|3|node|3|node_1|3|node|3|node_1}}
t0,2,4,5,6{3,3,3,3,3,3,3}
Hexipentistericantellated 8-simplex |
|---|
| 104 | node|3|node_1|3|node_1|3|node_1|3|node_1|3|node|3|node|3|node_1}}
t0,3,4,5,6{3,3,3,3,3,3,3}
Hexipentisteriruncinated 8-simplex |
|---|
| 105 | node_1|3|node|3|node|3|node|3|node_1|3|node_1|3|node_1|3|node_1}}
t0,1,2,3,7{3,3,3,3,3,3,3}
Heptiruncicantitruncated 8-simplex |
|---|
| 106 | node_1|3|node|3|node|3|node_1|3|node|3|node_1|3|node_1|3|node_1}}
t0,1,2,4,7{3,3,3,3,3,3,3}
Heptistericantitruncated 8-simplex |
|---|
| 107 | node_1|3|node|3|node|3|node_1|3|node_1|3|node|3|node_1|3|node_1}}
t0,1,3,4,7{3,3,3,3,3,3,3}
Heptisteriruncitruncated 8-simplex |
|---|
| 108 | node_1|3|node|3|node|3|node_1|3|node_1|3|node_1|3|node|3|node_1}}
t0,2,3,4,7{3,3,3,3,3,3,3}
Heptisteriruncicantellated 8-simplex |
|---|
| 109 | node_1|3|node|3|node_1|3|node|3|node|3|node_1|3|node_1|3|node_1}}
t0,1,2,5,7{3,3,3,3,3,3,3}
Heptipenticantitruncated 8-simplex |
|---|
| 110 | node_1|3|node|3|node_1|3|node|3|node_1|3|node|3|node_1|3|node_1}}
t0,1,3,5,7{3,3,3,3,3,3,3}
Heptipentiruncitruncated 8-simplex |
|---|
| 111 | node_1|3|node|3|node_1|3|node|3|node_1|3|node_1|3|node|3|node_1}}
t0,2,3,5,7{3,3,3,3,3,3,3}
Heptipentiruncicantellated 8-simplex |
|---|
| 112 | node_1|3|node|3|node_1|3|node_1|3|node|3|node|3|node_1|3|node_1}}
t0,1,4,5,7{3,3,3,3,3,3,3}
Heptipentisteritruncated 8-simplex |
|---|
| 113 | node_1|3|node_1|3|node|3|node|3|node|3|node_1|3|node_1|3|node_1}}
t0,1,2,6,7{3,3,3,3,3,3,3}
Heptihexicantitruncated 8-simplex |
|---|
| 114 | node_1|3|node_1|3|node|3|node|3|node_1|3|node|3|node_1|3|node_1}}
t0,1,3,6,7{3,3,3,3,3,3,3}
Heptihexiruncitruncated 8-simplex |
|---|
| 115 | node|3|node|3|node_1|3|node_1|3|node_1|3|node_1|3|node_1|3|node_1}}
t0,1,2,3,4,5{3,3,3,3,3,3,3}
Pentisteriruncicantitruncated 8-simplex |
|---|
| 116 | node|3|node_1|3|node|3|node_1|3|node_1|3|node_1|3|node_1|3|node_1}}
t0,1,2,3,4,6{3,3,3,3,3,3,3}
Hexisteriruncicantitruncated 8-simplex |
|---|
| 117 | node|3|node_1|3|node_1|3|node|3|node_1|3|node_1|3|node_1|3|node_1}}
t0,1,2,3,5,6{3,3,3,3,3,3,3}
Hexipentiruncicantitruncated 8-simplex |
|---|
| 118 | node|3|node_1|3|node_1|3|node_1|3|node|3|node_1|3|node_1|3|node_1}}
t0,1,2,4,5,6{3,3,3,3,3,3,3}
Hexipentistericantitruncated 8-simplex |
|---|
| 119 | node|3|node_1|3|node_1|3|node_1|3|node_1|3|node|3|node_1|3|node_1}}
t0,1,3,4,5,6{3,3,3,3,3,3,3}
Hexipentisteriruncitruncated 8-simplex |
|---|
| 120 | node|3|node_1|3|node_1|3|node_1|3|node_1|3|node_1|3|node|3|node_1}}
t0,2,3,4,5,6{3,3,3,3,3,3,3}
Hexipentisteriruncicantellated 8-simplex |
|---|
| 121 | node|3|node_1|3|node_1|3|node_1|3|node_1|3|node_1|3|node_1|3|node}}
t1,2,3,4,5,6{3,3,3,3,3,3,3}
Bipentisteriruncicantitruncated 8-simplex |
|---|
| 122 | node_1|3|node|3|node|3|node_1|3|node_1|3|node_1|3|node_1|3|node_1}}
t0,1,2,3,4,7{3,3,3,3,3,3,3}
Heptisteriruncicantitruncated 8-simplex |
|---|
| 123 | node_1|3|node|3|node_1|3|node|3|node_1|3|node_1|3|node_1|3|node_1}}
t0,1,2,3,5,7{3,3,3,3,3,3,3}
Heptipentiruncicantitruncated 8-simplex |
|---|
| 124 | node_1|3|node|3|node_1|3|node_1|3|node|3|node_1|3|node_1|3|node_1}}
t0,1,2,4,5,7{3,3,3,3,3,3,3}
Heptipentistericantitruncated 8-simplex |
|---|
| 125 | node_1|3|node|3|node_1|3|node_1|3|node_1|3|node|3|node_1|3|node_1}}
t0,1,3,4,5,7{3,3,3,3,3,3,3}
Heptipentisteriruncitruncated 8-simplex |
|---|
| 126 | node_1|3|node|3|node_1|3|node_1|3|node_1|3|node_1|3|node|3|node_1}}
t0,2,3,4,5,7{3,3,3,3,3,3,3}
Heptipentisteriruncicantellated 8-simplex |
|---|
| 127 | node_1|3|node_1|3|node|3|node|3|node_1|3|node_1|3|node_1|3|node_1}}
t0,1,2,3,6,7{3,3,3,3,3,3,3}
Heptihexiruncicantitruncated 8-simplex |
|---|
| 128 | node_1|3|node_1|3|node|3|node_1|3|node|3|node_1|3|node_1|3|node_1}}
t0,1,2,4,6,7{3,3,3,3,3,3,3}
Heptihexistericantitruncated 8-simplex |
|---|
| 129 | node_1|3|node_1|3|node|3|node_1|3|node_1|3|node|3|node_1|3|node_1}}
t0,1,3,4,6,7{3,3,3,3,3,3,3}
Heptihexisteriruncitruncated 8-simplex |
|---|
| 130 | node_1|3|node_1|3|node_1|3|node|3|node|3|node_1|3|node_1|3|node_1}}
t0,1,2,5,6,7{3,3,3,3,3,3,3}
Heptihexipenticantitruncated 8-simplex |
|---|
| 131 | node|3|node_1|3|node_1|3|node_1|3|node_1|3|node_1|3|node_1|3|node_1}}
t0,1,2,3,4,5,6{3,3,3,3,3,3,3}
Hexipentisteriruncicantitruncated 8-simplex |
|---|
| 132 | node_1|3|node|3|node_1|3|node_1|3|node_1|3|node_1|3|node_1|3|node_1}}
t0,1,2,3,4,5,7{3,3,3,3,3,3,3}
Heptipentisteriruncicantitruncated 8-simplex |
|---|
| 133 | node_1|3|node_1|3|node|3|node_1|3|node_1|3|node_1|3|node_1|3|node_1}}
t0,1,2,3,4,6,7{3,3,3,3,3,3,3}
Heptihexisteriruncicantitruncated 8-simplex |
|---|
| 134 | node_1|3|node_1|3|node_1|3|node|3|node_1|3|node_1|3|node_1|3|node_1}}
t0,1,2,3,5,6,7{3,3,3,3,3,3,3}
Heptihexipentiruncicantitruncated 8-simplex |
|---|
| 135 | node_1|3|node_1|3|node_1|3|node_1|3|node_1|3|node_1|3|node_1|3|node_1}}
t0,1,2,3,4,5,6,7{3,3,3,3,3,3,3}
Omnitruncated 8-simplex |
|---|
References- H.S.M. Coxeter:
- H.S.M. Coxeter, Regular Polytopes, 3rd Edition, Dover New York, 1973
- Kaleidoscopes: Selected Writings of H.S.M. Coxeter, edited by F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic Weiss, Wiley-Interscience Publication, 1995, {{ISBN|978-0-471-01003-6}} [1]
- (Paper 22) H.S.M. Coxeter, Regular and Semi Regular Polytopes I, [Math. Zeit. 46 (1940) 380-407, MR 2,10]
- (Paper 23) H.S.M. Coxeter, Regular and Semi-Regular Polytopes II, [Math. Zeit. 188 (1985) 559-591]
- (Paper 24) H.S.M. Coxeter, Regular and Semi-Regular Polytopes III, [Math. Zeit. 200 (1988) 3-45]
- N.W. Johnson: The Theory of Uniform Polytopes and Honeycombs, Ph.D. Dissertation, University of Toronto, 1966
External links- {{KlitzingPolytopes|polypeta.htm|8D|uniform polytopes (polyzetta)}}
Notes1. ^Wiley::Kaleidoscopes: Selected Writings of H.S.M. Coxeter
{{Polytopes}} 1 : 8-polytopes |