# | 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 | t0{3,3,3,3,3,3,3} 8-simplex | | | | | | | |
2 | t1{3,3,3,3,3,3,3} Rectified 8-simplex | | | | | | | |
3 | t2{3,3,3,3,3,3,3} Birectified 8-simplex | | | | | | | |
4 | t3{3,3,3,3,3,3,3} Trirectified 8-simplex | | | | | | | |
5 | t0,1{3,3,3,3,3,3,3} Truncated 8-simplex | | | | | | | |
6 | t0,2{3,3,3,3,3,3,3} Cantellated 8-simplex | | | | | | | |
7 | t1,2{3,3,3,3,3,3,3} Bitruncated 8-simplex | | | | | | | |
8 | t0,3{3,3,3,3,3,3,3} Runcinated 8-simplex | | | | | | | |
9 | t1,3{3,3,3,3,3,3,3} Bicantellated 8-simplex | | | | | | | |
10 | t2,3{3,3,3,3,3,3,3} Tritruncated 8-simplex | | | | | | | |
11 | t0,4{3,3,3,3,3,3,3} Stericated 8-simplex | | | | | | | |
12 | t1,4{3,3,3,3,3,3,3} Biruncinated 8-simplex | | | | | | | |
13 | t2,4{3,3,3,3,3,3,3} Tricantellated 8-simplex | | | | | | | |
14 | t3,4{3,3,3,3,3,3,3} Quadritruncated 8-simplex | | | | | | | |
15 | t0,5{3,3,3,3,3,3,3} Pentellated 8-simplex | | | | | | | |
16 | t1,5{3,3,3,3,3,3,3} Bistericated 8-simplex | | | | | | | |
17 | t2,5{3,3,3,3,3,3,3} Triruncinated 8-simplex | | | | | | | |
18 | t0,6{3,3,3,3,3,3,3} Hexicated 8-simplex | | | | | | | |
19 | t1,6{3,3,3,3,3,3,3} Bipentellated 8-simplex | | | | | | | |
20 | t0,7{3,3,3,3,3,3,3} Heptellated 8-simplex | | | | | | | |
21 | t0,1,2{3,3,3,3,3,3,3} Cantitruncated 8-simplex | | | | | | | |
22 | t0,1,3{3,3,3,3,3,3,3} Runcitruncated 8-simplex | | | | | | | |
23 | t0,2,3{3,3,3,3,3,3,3} Runcicantellated 8-simplex | | | | | | | |
24 | t1,2,3{3,3,3,3,3,3,3} Bicantitruncated 8-simplex | | | | | | | |
25 | t0,1,4{3,3,3,3,3,3,3} Steritruncated 8-simplex | | | | | | | |
26 | t0,2,4{3,3,3,3,3,3,3} Stericantellated 8-simplex | | | | | | | |
27 | t1,2,4{3,3,3,3,3,3,3} Biruncitruncated 8-simplex | | | | | | | |
28 | t0,3,4{3,3,3,3,3,3,3} Steriruncinated 8-simplex | | | | | | | |
29 | t1,3,4{3,3,3,3,3,3,3} Biruncicantellated 8-simplex | | | | | | | |
30 | t2,3,4{3,3,3,3,3,3,3} Tricantitruncated 8-simplex | | | | | | | |
31 | t0,1,5{3,3,3,3,3,3,3} Pentitruncated 8-simplex | | | | | | | |
32 | t0,2,5{3,3,3,3,3,3,3} Penticantellated 8-simplex | | | | | | | |
33 | t1,2,5{3,3,3,3,3,3,3} Bisteritruncated 8-simplex | | | | | | | |
34 | t0,3,5{3,3,3,3,3,3,3} Pentiruncinated 8-simplex | | | | | | | |
35 | t1,3,5{3,3,3,3,3,3,3} Bistericantellated 8-simplex | | | | | | | |
36 | t2,3,5{3,3,3,3,3,3,3} Triruncitruncated 8-simplex | | | | | | | |
37 | t0,4,5{3,3,3,3,3,3,3} Pentistericated 8-simplex | | | | | | | |
38 | t1,4,5{3,3,3,3,3,3,3} Bisteriruncinated 8-simplex | | | | | | | |
39 | t0,1,6{3,3,3,3,3,3,3} Hexitruncated 8-simplex | | | | | | | |
40 | t0,2,6{3,3,3,3,3,3,3} Hexicantellated 8-simplex | | | | | | | |
41 | t1,2,6{3,3,3,3,3,3,3} Bipentitruncated 8-simplex | | | | | | | |
42 | t0,3,6{3,3,3,3,3,3,3} Hexiruncinated 8-simplex | | | | | | | |
43 | t1,3,6{3,3,3,3,3,3,3} Bipenticantellated 8-simplex | | | | | | | |
44 | t0,4,6{3,3,3,3,3,3,3} Hexistericated 8-simplex | | | | | | | |
45 | t0,5,6{3,3,3,3,3,3,3} Hexipentellated 8-simplex | | | | | | | |
46 | t0,1,7{3,3,3,3,3,3,3} Heptitruncated 8-simplex | | | | | | | |
47 | t0,2,7{3,3,3,3,3,3,3} Hepticantellated 8-simplex | | | | | | | |
48 | t0,3,7{3,3,3,3,3,3,3} Heptiruncinated 8-simplex | | | | | | | |
49 | t0,1,2,3{3,3,3,3,3,3,3} Runcicantitruncated 8-simplex | | | | | | | |
50 | t0,1,2,4{3,3,3,3,3,3,3} Stericantitruncated 8-simplex | | | | | | | |
51 | t0,1,3,4{3,3,3,3,3,3,3} Steriruncitruncated 8-simplex | | | | | | | |
52 | t0,2,3,4{3,3,3,3,3,3,3} Steriruncicantellated 8-simplex | | | | | | | |
53 | t1,2,3,4{3,3,3,3,3,3,3} Biruncicantitruncated 8-simplex | | | | | | | |
54 | t0,1,2,5{3,3,3,3,3,3,3} Penticantitruncated 8-simplex | | | | | | | |
55 | t0,1,3,5{3,3,3,3,3,3,3} Pentiruncitruncated 8-simplex | | | | | | | |
56 | t0,2,3,5{3,3,3,3,3,3,3} Pentiruncicantellated 8-simplex | | | | | | | |
57 | t1,2,3,5{3,3,3,3,3,3,3} Bistericantitruncated 8-simplex | | | | | | | |
58 | t0,1,4,5{3,3,3,3,3,3,3} Pentisteritruncated 8-simplex | | | | | | | |
59 | t0,2,4,5{3,3,3,3,3,3,3} Pentistericantellated 8-simplex | | | | | | | |
60 | t1,2,4,5{3,3,3,3,3,3,3} Bisteriruncitruncated 8-simplex | | | | | | | |
61 | t0,3,4,5{3,3,3,3,3,3,3} Pentisteriruncinated 8-simplex | | | | | | | |
62 | t1,3,4,5{3,3,3,3,3,3,3} Bisteriruncicantellated 8-simplex | | | | | | | |
63 | t2,3,4,5{3,3,3,3,3,3,3} Triruncicantitruncated 8-simplex | | | | | | | |
64 | t0,1,2,6{3,3,3,3,3,3,3} Hexicantitruncated 8-simplex | | | | | | | |
65 | t0,1,3,6{3,3,3,3,3,3,3} Hexiruncitruncated 8-simplex | | | | | | | |
66 | t0,2,3,6{3,3,3,3,3,3,3} Hexiruncicantellated 8-simplex | | | | | | | |
67 | t1,2,3,6{3,3,3,3,3,3,3} Bipenticantitruncated 8-simplex | | | | | | | |
68 | t0,1,4,6{3,3,3,3,3,3,3} Hexisteritruncated 8-simplex | | | | | | | |
69 | t0,2,4,6{3,3,3,3,3,3,3} Hexistericantellated 8-simplex | | | | | | | |
70 | t1,2,4,6{3,3,3,3,3,3,3} Bipentiruncitruncated 8-simplex | | | | | | | |
71 |
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