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A8 polytope

[[File:8-simplex_t0.svg160px]]8-simplex

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 [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 diagramSchläfli symbolJohnson nameAk orthogonal projection graphsA8[9]A7[8]A6[7]A5[6]A4[5]A3[4]A2[3]123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135
t0{3,3,3,3,3,3,3}8-simplex[[File:8-simplex_t0.svg80px]][[File:8-simplex_t0_A7.svg80px]][[File:8-simplex_t0_A6.svg80px]][[File:8-simplex_t0_A5.svg80px]][[File:8-simplex_t0_A4.svg80px]][[File:8-simplex_t0_A3.svg80px]][[File:8-simplex_t0_A2.svg80px]]
t1{3,3,3,3,3,3,3}Rectified 8-simplex[[File:8-simplex_t1.svg80px]][[File:8-simplex_t1_A7.svg80px]][[File:8-simplex_t1_A6.svg80px]][[File:8-simplex_t1_A5.svg80px]][[File:8-simplex_t1_A4.svg80px]][[File:8-simplex_t1_A3.svg80px]][[File:8-simplex_t1_A2.svg80px]]
t2{3,3,3,3,3,3,3}Birectified 8-simplex[[File:8-simplex_t2.svg80px]][[File:8-simplex_t2_A7.svg80px]][[File:8-simplex_t2_A6.svg80px]][[File:8-simplex_t2_A5.svg80px]][[File:8-simplex_t2_A4.svg80px]][[File:8-simplex_t2_A3.svg80px]][[File:8-simplex_t2_A2.svg80px]]
t3{3,3,3,3,3,3,3}Trirectified 8-simplex[[File:8-simplex_t3.svg80px]][[File:8-simplex_t3_A7.svg80px]][[File:8-simplex_t3_A6.svg80px]][[File:8-simplex_t3_A5.svg80px]][[File:8-simplex_t3_A4.svg80px]][[File:8-simplex_t3_A3.svg80px]][[File:8-simplex_t3_A2.svg80px]]
t0,1{3,3,3,3,3,3,3}Truncated 8-simplex[[File:8-simplex_t01.svg80px]][[File:8-simplex_t01_A7.svg80px]][[File:8-simplex_t01_A6.svg80px]][[File:8-simplex_t01_A5.svg80px]][[File:8-simplex_t01_A4.svg80px]][[File:8-simplex_t01_A3.svg80px]][[File:8-simplex_t01_A2.svg80px]]
t0,2{3,3,3,3,3,3,3}Cantellated 8-simplex[[File:8-simplex_t02.svg80px]][[File:8-simplex_t02_A7.svg80px]][[File:8-simplex_t02_A6.svg80px]][[File:8-simplex_t02_A5.svg80px]][[File:8-simplex_t02_A4.svg80px]][[File:8-simplex_t02_A3.svg80px]][[File:8-simplex_t02_A2.svg80px]]
t1,2{3,3,3,3,3,3,3}Bitruncated 8-simplex[[File:8-simplex_t12.svg80px]][[File:8-simplex_t12_A7.svg80px]][[File:8-simplex_t12_A6.svg80px]][[File:8-simplex_t12_A5.svg80px]][[File:8-simplex_t12_A4.svg80px]][[File:8-simplex_t12_A3.svg80px]][[File:8-simplex_t12_A2.svg80px]]
t0,3{3,3,3,3,3,3,3}Runcinated 8-simplex[[File:8-simplex_t03.svg80px]][[File:8-simplex_t03_A7.svg80px]][[File:8-simplex_t03_A6.svg80px]][[File:8-simplex_t03_A5.svg80px]][[File:8-simplex_t03_A4.svg80px]][[File:8-simplex_t03_A3.svg80px]][[File:8-simplex_t03_A2.svg80px]]
t1,3{3,3,3,3,3,3,3}Bicantellated 8-simplex[[File:8-simplex_t13.svg80px]][[File:8-simplex_t13_A7.svg80px]][[File:8-simplex_t13_A6.svg80px]][[File:8-simplex_t13_A5.svg80px]][[File:8-simplex_t13_A4.svg80px]][[File:8-simplex_t13_A3.svg80px]][[File:8-simplex_t13_A2.svg80px]]
t2,3{3,3,3,3,3,3,3}Tritruncated 8-simplex[[File:8-simplex_t23.svg80px]][[File:8-simplex_t23_A7.svg80px]][[File:8-simplex_t23_A6.svg80px]][[File:8-simplex_t23_A5.svg80px]][[File:8-simplex_t23_A4.svg80px]][[File:8-simplex_t23_A3.svg80px]][[File:8-simplex_t23_A2.svg80px]]
t0,4{3,3,3,3,3,3,3}Stericated 8-simplex[[File:8-simplex_t04.svg80px]][[File:8-simplex_t04_A7.svg80px]][[File:8-simplex_t04_A6.svg80px]][[File:8-simplex_t04_A5.svg80px]][[File:8-simplex_t04_A4.svg80px]][[File:8-simplex_t04_A3.svg80px]][[File:8-simplex_t04_A2.svg80px]]
t1,4{3,3,3,3,3,3,3}Biruncinated 8-simplex[[File:8-simplex_t14.svg80px]][[File:8-simplex_t14_A7.svg80px]][[File:8-simplex_t14_A6.svg80px]][[File:8-simplex_t14_A5.svg80px]][[File:8-simplex_t14_A4.svg80px]][[File:8-simplex_t14_A3.svg80px]][[File:8-simplex_t14_A2.svg80px]]
t2,4{3,3,3,3,3,3,3}Tricantellated 8-simplex[[File:8-simplex_t24.svg80px]][[File:8-simplex_t24_A7.svg80px]][[File:8-simplex_t24_A6.svg80px]][[File:8-simplex_t24_A5.svg80px]][[File:8-simplex_t24_A4.svg80px]][[File:8-simplex_t24_A3.svg80px]][[File:8-simplex_t24_A2.svg80px]]
t3,4{3,3,3,3,3,3,3}Quadritruncated 8-simplex[[File:8-simplex_t34.svg80px]][[File:8-simplex_t34_A7.svg80px]][[File:8-simplex_t34_A6.svg80px]][[File:8-simplex_t34_A5.svg80px]][[File:8-simplex_t34_A4.svg80px]][[File:8-simplex_t34_A3.svg80px]][[File:8-simplex_t34_A2.svg80px]]
t0,5{3,3,3,3,3,3,3}Pentellated 8-simplex[[File:8-simplex_t05.svg80px]][[File:8-simplex_t05_A7.svg80px]][[File:8-simplex_t05_A6.svg80px]][[File:8-simplex_t05_A5.svg80px]][[File:8-simplex_t05_A4.svg80px]][[File:8-simplex_t05_A3.svg80px]][[File:8-simplex_t05_A2.svg80px]]
t1,5{3,3,3,3,3,3,3}Bistericated 8-simplex[[File:8-simplex_t15.svg80px]][[File:8-simplex_t15_A7.svg80px]][[File:8-simplex_t15_A6.svg80px]][[File:8-simplex_t15_A5.svg80px]][[File:8-simplex_t15_A4.svg80px]][[File:8-simplex_t15_A3.svg80px]][[File:8-simplex_t15_A2.svg80px]]
t2,5{3,3,3,3,3,3,3}Triruncinated 8-simplex[[File:8-simplex_t25.svg80px]][[File:8-simplex_t25_A7.svg80px]][[File:8-simplex_t25_A6.svg80px]][[File:8-simplex_t25_A5.svg80px]][[File:8-simplex_t25_A4.svg80px]][[File:8-simplex_t25_A3.svg80px]][[File:8-simplex_t25_A2.svg80px]]
t0,6{3,3,3,3,3,3,3}Hexicated 8-simplex[[File:8-simplex_t06.svg80px]][[File:8-simplex_t06_A7.svg80px]][[File:8-simplex_t06_A6.svg80px]][[File:8-simplex_t06_A5.svg80px]][[File:8-simplex_t06_A4.svg80px]][[File:8-simplex_t06_A3.svg80px]][[File:8-simplex_t06_A2.svg80px]]
t1,6{3,3,3,3,3,3,3}Bipentellated 8-simplex[[File:8-simplex_t16.svg80px]][[File:8-simplex_t16_A7.svg80px]][[File:8-simplex_t16_A6.svg80px]][[File:8-simplex_t16_A5.svg80px]][[File:8-simplex_t16_A4.svg80px]][[File:8-simplex_t16_A3.svg80px]][[File:8-simplex_t16_A2.svg80px]]
t0,7{3,3,3,3,3,3,3}Heptellated 8-simplex[[File:8-simplex_t07.svg80px]][[File:8-simplex_t07_A7.svg80px]][[File:8-simplex_t07_A6.svg80px]][[File:8-simplex_t07_A5.svg80px]][[File:8-simplex_t07_A4.svg80px]][[File:8-simplex_t07_A3.svg80px]][[File:8-simplex_t07_A2.svg80px]]
t0,1,2{3,3,3,3,3,3,3}Cantitruncated 8-simplex[[File:8-simplex_t012.svg80px]][[File:8-simplex_t012_A7.svg80px]][[File:8-simplex_t012_A6.svg80px]][[File:8-simplex_t012_A5.svg80px]][[File:8-simplex_t012_A4.svg80px]][[File:8-simplex_t012_A3.svg80px]][[File:8-simplex_t012_A2.svg80px]]
t0,1,3{3,3,3,3,3,3,3}Runcitruncated 8-simplex[[File:8-simplex_t013.svg80px]][[File:8-simplex_t013_A7.svg80px]][[File:8-simplex_t013_A6.svg80px]][[File:8-simplex_t013_A5.svg80px]][[File:8-simplex_t013_A4.svg80px]][[File:8-simplex_t013_A3.svg80px]][[File:8-simplex_t013_A2.svg80px]]
t0,2,3{3,3,3,3,3,3,3}Runcicantellated 8-simplex[[File:8-simplex_t023.svg80px]][[File:8-simplex_t023_A7.svg80px]][[File:8-simplex_t023_A6.svg80px]][[File:8-simplex_t023_A5.svg80px]][[File:8-simplex_t023_A4.svg80px]][[File:8-simplex_t023_A3.svg80px]][[File:8-simplex_t023_A2.svg80px]]
t1,2,3{3,3,3,3,3,3,3}Bicantitruncated 8-simplex[[File:8-simplex_t123.svg80px]][[File:8-simplex_t123_A7.svg80px]][[File:8-simplex_t123_A6.svg80px]][[File:8-simplex_t123_A5.svg80px]][[File:8-simplex_t123_A4.svg80px]][[File:8-simplex_t123_A3.svg80px]][[File:8-simplex_t123_A2.svg80px]]
t0,1,4{3,3,3,3,3,3,3}Steritruncated 8-simplex[[File:8-simplex_t014.svg80px]][[File:8-simplex_t014_A7.svg80px]][[File:8-simplex_t014_A6.svg80px]][[File:8-simplex_t014_A5.svg80px]][[File:8-simplex_t014_A4.svg80px]][[File:8-simplex_t014_A3.svg80px]][[File:8-simplex_t014_A2.svg80px]]
t0,2,4{3,3,3,3,3,3,3}Stericantellated 8-simplex[[File:8-simplex_t024.svg80px]][[File:8-simplex_t024_A7.svg80px]][[File:8-simplex_t024_A6.svg80px]][[File:8-simplex_t024_A5.svg80px]][[File:8-simplex_t024_A4.svg80px]][[File:8-simplex_t024_A3.svg80px]][[File:8-simplex_t024_A2.svg80px]]
t1,2,4{3,3,3,3,3,3,3}Biruncitruncated 8-simplex[[File:8-simplex_t124.svg80px]][[File:8-simplex_t124_A7.svg80px]][[File:8-simplex_t124_A6.svg80px]][[File:8-simplex_t124_A5.svg80px]][[File:8-simplex_t124_A4.svg80px]][[File:8-simplex_t124_A3.svg80px]][[File:8-simplex_t124_A2.svg80px]]
t0,3,4{3,3,3,3,3,3,3}Steriruncinated 8-simplex[[File:8-simplex_t034.svg80px]][[File:8-simplex_t034_A7.svg80px]][[File:8-simplex_t034_A6.svg80px]][[File:8-simplex_t034_A5.svg80px]][[File:8-simplex_t034_A4.svg80px]][[File:8-simplex_t034_A3.svg80px]][[File:8-simplex_t034_A2.svg80px]]
t1,3,4{3,3,3,3,3,3,3}Biruncicantellated 8-simplex[[File:8-simplex_t134.svg80px]][[File:8-simplex_t134_A7.svg80px]][[File:8-simplex_t134_A6.svg80px]][[File:8-simplex_t134_A5.svg80px]][[File:8-simplex_t134_A4.svg80px]][[File:8-simplex_t134_A3.svg80px]][[File:8-simplex_t134_A2.svg80px]]
t2,3,4{3,3,3,3,3,3,3}Tricantitruncated 8-simplex[[File:8-simplex_t234.svg80px]][[File:8-simplex_t234_A7.svg80px]][[File:8-simplex_t234_A6.svg80px]][[File:8-simplex_t234_A5.svg80px]][[File:8-simplex_t234_A4.svg80px]][[File:8-simplex_t234_A3.svg80px]][[File:8-simplex_t234_A2.svg80px]]
t0,1,5{3,3,3,3,3,3,3}Pentitruncated 8-simplex[[File:8-simplex_t015.svg80px]][[File:8-simplex_t015_A7.svg80px]][[File:8-simplex_t015_A6.svg80px]][[File:8-simplex_t015_A5.svg80px]][[File:8-simplex_t015_A4.svg80px]][[File:8-simplex_t015_A3.svg80px]][[File:8-simplex_t015_A2.svg80px]]
t0,2,5{3,3,3,3,3,3,3}Penticantellated 8-simplex[[File:8-simplex_t025.svg80px]][[File:8-simplex_t025_A7.svg80px]][[File:8-simplex_t025_A6.svg80px]][[File:8-simplex_t025_A5.svg80px]][[File:8-simplex_t025_A4.svg80px]][[File:8-simplex_t025_A3.svg80px]][[File:8-simplex_t025_A2.svg80px]]
t1,2,5{3,3,3,3,3,3,3}Bisteritruncated 8-simplex[[File:8-simplex_t125.svg80px]][[File:8-simplex_t125_A7.svg80px]][[File:8-simplex_t125_A6.svg80px]][[File:8-simplex_t125_A5.svg80px]][[File:8-simplex_t125_A4.svg80px]][[File:8-simplex_t125_A3.svg80px]][[File:8-simplex_t125_A2.svg80px]]
t0,3,5{3,3,3,3,3,3,3}Pentiruncinated 8-simplex[[File:8-simplex_t035.svg80px]][[File:8-simplex_t035_A7.svg80px]][[File:8-simplex_t035_A6.svg80px]][[File:8-simplex_t035_A5.svg80px]][[File:8-simplex_t035_A4.svg80px]][[File:8-simplex_t035_A3.svg80px]][[File:8-simplex_t035_A2.svg80px]]
t1,3,5{3,3,3,3,3,3,3}Bistericantellated 8-simplex[[File:8-simplex_t135.svg80px]][[File:8-simplex_t135_A7.svg80px]][[File:8-simplex_t135_A6.svg80px]][[File:8-simplex_t135_A5.svg80px]][[File:8-simplex_t135_A4.svg80px]][[File:8-simplex_t135_A3.svg80px]][[File:8-simplex_t135_A2.svg80px]]
t2,3,5{3,3,3,3,3,3,3}Triruncitruncated 8-simplex[[File:8-simplex_t235.svg80px]][[File:8-simplex_t235_A7.svg80px]][[File:8-simplex_t235_A6.svg80px]][[File:8-simplex_t235_A5.svg80px]][[File:8-simplex_t235_A4.svg80px]][[File:8-simplex_t235_A3.svg80px]][[File:8-simplex_t235_A2.svg80px]]
t0,4,5{3,3,3,3,3,3,3}Pentistericated 8-simplex[[File:8-simplex_t045.svg80px]][[File:8-simplex_t045_A7.svg80px]][[File:8-simplex_t045_A6.svg80px]][[File:8-simplex_t045_A5.svg80px]][[File:8-simplex_t045_A4.svg80px]][[File:8-simplex_t045_A3.svg80px]][[File:8-simplex_t045_A2.svg80px]]
t1,4,5{3,3,3,3,3,3,3}Bisteriruncinated 8-simplex[[File:8-simplex_t145.svg80px]][[File:8-simplex_t145_A7.svg80px]][[File:8-simplex_t145_A6.svg80px]][[File:8-simplex_t145_A5.svg80px]][[File:8-simplex_t145_A4.svg80px]][[File:8-simplex_t145_A3.svg80px]]5[[File:8-simplex_t145_A2.svg80px]]
t0,1,6{3,3,3,3,3,3,3}Hexitruncated 8-simplex[[File:8-simplex_t016.svg80px]][[File:8-simplex_t016_A7.svg80px]][[File:8-simplex_t016_A6.svg80px]][[File:8-simplex_t016_A5.svg80px]][[File:8-simplex_t016_A4.svg80px]][[File:8-simplex_t016_A3.svg80px]][[File:8-simplex_t016_A2.svg80px]]
t0,2,6{3,3,3,3,3,3,3}Hexicantellated 8-simplex[[File:8-simplex_t026.svg80px]][[File:8-simplex_t026_A7.svg80px]][[File:8-simplex_t026_A6.svg80px]][[File:8-simplex_t026_A5.svg80px]][[File:8-simplex_t026_A4.svg80px]][[File:8-simplex_t026_A3.svg80px]][[File:8-simplex_t026_A2.svg80px]]
t1,2,6{3,3,3,3,3,3,3}Bipentitruncated 8-simplex[[File:8-simplex_t126.svg80px]][[File:8-simplex_t126_A7.svg80px]][[File:8-simplex_t126_A6.svg80px]][[File:8-simplex_t126_A5.svg80px]][[File:8-simplex_t126_A4.svg80px]][[File:8-simplex_t126_A3.svg80px]][[File:8-simplex_t126_A2.svg80px]]
t0,3,6{3,3,3,3,3,3,3}Hexiruncinated 8-simplex[[File:8-simplex_t036.svg80px]][[File:8-simplex_t036_A7.svg80px]][[File:8-simplex_t036_A6.svg80px]][[File:8-simplex_t036_A5.svg80px]][[File:8-simplex_t036_A4.svg80px]][[File:8-simplex_t036_A3.svg80px]][[File:8-simplex_t036_A2.svg80px]]
t1,3,6{3,3,3,3,3,3,3}Bipenticantellated 8-simplex[[File:8-simplex_t136.svg80px]][[File:8-simplex_t136_A7.svg80px]][[File:8-simplex_t136_A6.svg80px]][[File:8-simplex_t136_A5.svg80px]][[File:8-simplex_t136_A4.svg80px]][[File:8-simplex_t136_A3.svg80px]][[File:8-simplex_t136_A2.svg80px]]
t0,4,6{3,3,3,3,3,3,3}Hexistericated 8-simplex[[File:8-simplex_t046.svg80px]][[File:8-simplex_t046_A7.svg80px]][[File:8-simplex_t046_A6.svg80px]][[File:8-simplex_t046_A5.svg80px]][[File:8-simplex_t046_A4.svg80px]][[File:8-simplex_t046_A3.svg80px]][[File:8-simplex_t046_A2.svg80px]]
t0,5,6{3,3,3,3,3,3,3}Hexipentellated 8-simplex[[File:8-simplex_t056.svg80px]][[File:8-simplex_t056_A7.svg80px]][[File:8-simplex_t056_A6.svg80px]][[File:8-simplex_t056_A5.svg80px]][[File:8-simplex_t056_A4.svg80px]][[File:8-simplex_t056_A3.svg80px]][[File:8-simplex_t056_A2.svg80px]]
t0,1,7{3,3,3,3,3,3,3}Heptitruncated 8-simplex[[File:8-simplex_t017.svg80px]][[File:8-simplex_t017_A7.svg80px]][[File:8-simplex_t017_A6.svg80px]][[File:8-simplex_t017_A5.svg80px]][[File:8-simplex_t017_A4.svg80px]][[File:8-simplex_t017_A3.svg80px]][[File:8-simplex_t017_A2.svg80px]]
t0,2,7{3,3,3,3,3,3,3}Hepticantellated 8-simplex[[File:8-simplex_t027.svg80px]][[File:8-simplex_t027_A7.svg80px]][[File:8-simplex_t027_A6.svg80px]][[File:8-simplex_t027_A5.svg80px]][[File:8-simplex_t027_A4.svg80px]][[File:8-simplex_t027_A3.svg80px]][[File:8-simplex_t027_A2.svg80px]]
t0,3,7{3,3,3,3,3,3,3}Heptiruncinated 8-simplex[[File:8-simplex_t037.svg80px]][[File:8-simplex_t037_A7.svg80px]][[File:8-simplex_t037_A6.svg80px]][[File:8-simplex_t037_A5.svg80px]][[File:8-simplex_t037_A4.svg80px]][[File:8-simplex_t037_A3.svg80px]][[File:8-simplex_t037_A2.svg80px]]
t0,1,2,3{3,3,3,3,3,3,3}Runcicantitruncated 8-simplex[[File:8-simplex_t0123.svg80px]][[File:8-simplex_t0123_A7.svg80px]][[File:8-simplex_t0123_A6.svg80px]][[File:8-simplex_t0123_A5.svg80px]][[File:8-simplex_t0123_A4.svg80px]][[File:8-simplex_t0123_A3.svg80px]][[File:8-simplex_t0123_A2.svg80px]]
t0,1,2,4{3,3,3,3,3,3,3}Stericantitruncated 8-simplex[[File:8-simplex_t0124.svg80px]][[File:8-simplex_t0124_A7.svg80px]][[File:8-simplex_t0124_A6.svg80px]][[File:8-simplex_t0124_A5.svg80px]][[File:8-simplex_t0124_A4.svg80px]][[File:8-simplex_t0124_A3.svg80px]][[File:8-simplex_t0124_A2.svg80px]]
t0,1,3,4{3,3,3,3,3,3,3}Steriruncitruncated 8-simplex[[File:8-simplex_t0134.svg80px]][[File:8-simplex_t0134_A7.svg80px]][[File:8-simplex family graph.svg80px]][[File:8-simplex_t0134_A5.svg80px]][[File:8-simplex_t0134_A4.svg80px]][[File:8-simplex_t0134_A3.svg80px]][[File:8-simplex_t0134_A2.svg80px]]
t0,2,3,4{3,3,3,3,3,3,3}Steriruncicantellated 8-simplex[[File:8-simplex_t0234.svg80px]][[File:8-simplex_t0234_A7.svg80px]][[File:8-simplex_t0234_A6.svg80px]][[File:8-simplex_t0234_A5.svg80px]][[File:8-simplex_t0234_A4.svg80px]][[File:8-simplex_t0234_A3.svg80px]][[File:8-simplex_t0234_A2.svg80px]]
t1,2,3,4{3,3,3,3,3,3,3}Biruncicantitruncated 8-simplex[[File:8-simplex_t1234.svg80px]][[File:8-simplex_t1234_A7.svg80px]][[File:8-simplex_t1234_A6.svg80px]][[File:8-simplex_t1234_A5.svg80px]][[File:8-simplex_t1234_A4.svg80px]][[File:8-simplex_t1234_A3.svg80px]][[File:8-simplex_t1234_A2.svg80px]]
t0,1,2,5{3,3,3,3,3,3,3}Penticantitruncated 8-simplex[[File:8-simplex_t0125.svg80px]][[File:8-simplex_t0125_A7.svg80px]][[File:8-simplex_t0125_A6.svg80px]][[File:8-simplex_t0125_A5.svg80px]][[File:8-simplex_t0125_A4.svg80px]][[File:8-simplex_t0125_A3.svg80px]][[File:8-simplex_t0125_A2.svg80px]]
t0,1,3,5{3,3,3,3,3,3,3}Pentiruncitruncated 8-simplex[[File:8-simplex_t0135.svg80px]][[File:8-simplex_t0135_A7.svg80px]][[File:8-simplex_t0135_A6.svg80px]][[File:8-simplex_t0135_A5.svg80px]][[File:8-simplex_t0135_A4.svg80px]][[File:8-simplex_t0135_A3.svg80px]][[File:8-simplex_t0135_A2.svg80px]]
t0,2,3,5{3,3,3,3,3,3,3}Pentiruncicantellated 8-simplex[[File:8-simplex_t0235.svg80px]][[File:8-simplex_t0235_A7.svg80px]][[File:8-simplex_t0235_A6.svg80px]][[File:8-simplex_t0235_A5.svg80px]][[File:8-simplex_t0235_A4.svg80px]][[File:8-simplex_t0235_A3.svg80px]][[File:8-simplex_t0235_A2.svg80px]]
t1,2,3,5{3,3,3,3,3,3,3}Bistericantitruncated 8-simplex[[File:8-simplex_t1235.svg80px]][[File:8-simplex_t1235_A7.svg80px]][[File:8-simplex_t1235_A6.svg80px]][[File:8-simplex_t1235_A5.svg80px]][[File:8-simplex_t1235_A4.svg80px]][[File:8-simplex_t1235_A3.svg80px]][[File:8-simplex_t1235_A2.svg80px]]
t0,1,4,5{3,3,3,3,3,3,3}Pentisteritruncated 8-simplex[[File:8-simplex_t0145.svg80px]][[File:8-simplex_t0145_A7.svg80px]][[File:8-simplex_t0145_A6.svg80px]][[File:8-simplex_t0145_A5.svg80px]][[File:8-simplex_t0145_A4.svg80px]][[File:8-simplex_t0145_A3.svg80px]][[File:8-simplex_t0145_A2.svg80px]]
t0,2,4,5{3,3,3,3,3,3,3}Pentistericantellated 8-simplex[[File:8-simplex_t0245.svg80px]][[File:8-simplex_t0245_A7.svg80px]][[File:8-simplex_t0245_A6.svg80px]][[File:8-simplex_t0245_A5.svg80px]][[File:8-simplex_t0245_A4.svg80px]][[File:8-simplex_t0245_A3.svg80px]][[File:8-simplex_t0245_A2.svg80px]]
t1,2,4,5{3,3,3,3,3,3,3}Bisteriruncitruncated 8-simplex[[File:8-simplex_t1245.svg80px]][[File:8-simplex_t1245_A7.svg80px]][[File:8-simplex_t1245_A6.svg80px]][[File:8-simplex_t1245_A5.svg80px]][[File:8-simplex_t1245_A4.svg80px]][[File:8-simplex_t1245_A3.svg80px]][[File:8-simplex_t1245_A2.svg80px]]
t0,3,4,5{3,3,3,3,3,3,3}Pentisteriruncinated 8-simplex[[File:8-simplex_t0345.svg80px]][[File:8-simplex_t0345_A7.svg80px]][[File:8-simplex_t0345_A6.svg80px]][[File:8-simplex_t0345_A5.svg80px]][[File:8-simplex_t0345_A4.svg80px]][[File:8-simplex_t0345_A3.svg80px]][[File:8-simplex_t0345_A2.svg80px]]
t1,3,4,5{3,3,3,3,3,3,3}Bisteriruncicantellated 8-simplex[[File:8-simplex_t1345.svg80px]][[File:8-simplex_t1345_A7.svg80px]][[File:8-simplex_t1345_A6.svg80px]][[File:8-simplex_t1345_A5.svg80px]][[File:8-simplex_t1345_A4.svg80px]][[File:8-simplex_t1345_A3.svg80px]][[File:8-simplex_t1345_A2.svg80px]]
t2,3,4,5{3,3,3,3,3,3,3}Triruncicantitruncated 8-simplex[[File:8-simplex_t2345.svg80px]][[File:8-simplex_t2345_A7.svg80px]][[File:8-simplex_t2345_A6.svg80px]][[File:8-simplex_t2345_A5.svg80px]][[File:8-simplex_t2345_A4.svg80px]][[File:8-simplex_t2345_A3.svg80px]][[File:8-simplex_t2345_A2.svg80px]]
t0,1,2,6{3,3,3,3,3,3,3}Hexicantitruncated 8-simplex[[File:8-simplex_t0126.svg80px]][[File:8-simplex_t0126_A7.svg80px]][[File:8-simplex_t0126_A6.svg80px]][[File:8-simplex_t0126_A5.svg80px]][[File:8-simplex_t0126_A4.svg80px]][[File:8-simplex_t0126_A3.svg80px]][[File:8-simplex_t0126_A2.svg80px]]
t0,1,3,6{3,3,3,3,3,3,3}Hexiruncitruncated 8-simplex[[File:8-simplex_t0136.svg80px]][[File:8-simplex_t0136_A7.svg80px]][[File:8-simplex_t0136_A6.svg80px]][[File:8-simplex_t0136_A5.svg80px]][[File:8-simplex_t0136_A4.svg80px]][[File:8-simplex_t0136_A3.svg80px]][[File:8-simplex_t0136_A2.svg80px]]
t0,2,3,6{3,3,3,3,3,3,3}Hexiruncicantellated 8-simplex[[File:8-simplex_t0236.svg80px]][[File:8-simplex_t0236_A7.svg80px]][[File:8-simplex_t0236_A6.svg80px]][[File:8-simplex_t0236_A5.svg80px]][[File:8-simplex_t0236_A4.svg80px]][[File:8-simplex_t0236_A3.svg80px]][[File:8-simplex_t0236_A2.svg80px]]
t1,2,3,6{3,3,3,3,3,3,3}Bipenticantitruncated 8-simplex[[File:8-simplex_t1236.svg80px]][[File:8-simplex_t1236_A7.svg80px]][[File:8-simplex_t1236_A6.svg80px]][[File:8-simplex_t1236_A5.svg80px]][[File:8-simplex_t1236_A4.svg80px]][[File:8-simplex_t1236_A3.svg80px]][[File:8-simplex_t1236_A2.svg80px]]
t0,1,4,6{3,3,3,3,3,3,3}Hexisteritruncated 8-simplex[[File:8-simplex_t0146.svg80px]][[File:8-simplex_t0146_A7.svg80px]][[File:8-simplex_t0146_A6.svg80px]][[File:8-simplex_t0146_A5.svg80px]][[File:8-simplex_t0146_A4.svg80px]][[File:8-simplex_t0146_A3.svg80px]][[File:8-simplex_t0146_A2.svg80px]]
t0,2,4,6{3,3,3,3,3,3,3}Hexistericantellated 8-simplex[[File:8-simplex_t0246.svg80px]][[File:8-simplex_t0246_A7.svg80px]][[File:8-simplex_t0246_A6.svg80px]][[File:8-simplex_t0246_A5.svg80px]][[File:8-simplex_t0246_A4.svg80px]][[File:8-simplex_t0246_A3.svg80px]][[File:8-simplex_t0246_A2.svg80px]]
t1,2,4,6{3,3,3,3,3,3,3}Bipentiruncitruncated 8-simplex[[File:8-simplex_t1246.svg80px]][[File:8-simplex_t1246_A7.svg80px]][[File:8-simplex_t1246_A6.svg80px]][[File:8-simplex_t1246_A5.svg80px]][[File:8-simplex_t1246_A4.svg80px]][[File:8-simplex_t1246_A3.svg80px]][[File:8-simplex_t1246_A2.svg80px]]
t0,3,4,6{3,3,3,3,3,3,3}Hexisteriruncinated 8-simplex[[File:8-simplex_t0346.svg80px]][[File:8-simplex_t0346_A7.svg80px]][[File:8-simplex_t0346_A6.svg80px]][[File:8-simplex_t0346_A5.svg80px]][[File:8-simplex_t0346_A4.svg80px]][[File:8-simplex_t0346_A3.svg80px]][[File:8-simplex_t0346_A2.svg80px]]
t1,3,4,6{3,3,3,3,3,3,3}Bipentiruncicantellated 8-simplex[[File:8-simplex_t1346.svg80px]][[File:8-simplex_t1346_A7.svg80px]][[File:8-simplex_t1346_A6.svg80px]][[File:8-simplex_t1346_A5.svg80px]][[File:8-simplex_t1346_A4.svg80px]][[File:8-simplex_t1346_A3.svg80px]][[File:8-simplex_t1346_A2.svg80px]]
t0,1,5,6{3,3,3,3,3,3,3}Hexipentitruncated 8-simplex[[File:8-simplex_t0156.svg80px]][[File:8-simplex_t0156_A7.svg80px]][[File:8-simplex_t0156_A6.svg80px]][[File:8-simplex_t0156_A5.svg80px]][[File:8-simplex_t0156_A4.svg80px]][[File:8-simplex_t0156_A3.svg80px]][[File:8-simplex_t0156_A2.svg80px]]
t0,2,5,6{3,3,3,3,3,3,3}Hexipenticantellated 8-simplex[[File:8-simplex_t0256.svg80px]][[File:8-simplex_t0256_A7.svg80px]][[File:8-simplex_t0256_A6.svg80px]][[File:8-simplex_t0256_A5.svg80px]][[File:8-simplex_t0256_A4.svg80px]][[File:8-simplex_t0256_A3.svg80px]][[File:8-simplex_t0256_A2.svg80px]]
t1,2,5,6{3,3,3,3,3,3,3}Bipentisteritruncated 8-simplex[[File:8-simplex_t1256.svg80px]][[File:8-simplex_t1256_A7.svg80px]][[File:8-simplex_t1256_A6.svg80px]][[File:8-simplex_t1256_A5.svg80px]][[File:8-simplex_t1256_A4.svg80px]][[File:8-simplex_t1256_A3.svg80px]][[File:8-simplex_t1256_A2.svg80px]]
t0,3,5,6{3,3,3,3,3,3,3}Hexipentiruncinated 8-simplex[[File:8-simplex_t0356.svg80px]][[File:8-simplex_t0356_A7.svg80px]][[File:8-simplex_t0356_A6.svg80px]][[File:8-simplex_t0356_A5.svg80px]][[File:8-simplex_t0356_A4.svg80px]][[File:8-simplex_t0356_A3.svg80px]][[File:8-simplex_t0356_A2.svg80px]]
t0,4,5,6{3,3,3,3,3,3,3}Hexipentistericated 8-simplex[[File:8-simplex_t0456.svg80px]][[File:8-simplex_t0456_A7.svg80px]][[File:8-simplex_t0456_A6.svg80px]][[File:8-simplex_t0456_A5.svg80px]][[File:8-simplex_t0456_A4.svg80px]][[File:8-simplex_t0456_A3.svg80px]][[File:8-simplex_t0456_A2.svg80px]]
t0,1,2,7{3,3,3,3,3,3,3}Hepticantitruncated 8-simplex[[File:8-simplex_t0127.svg80px]][[File:8-simplex_t0127_A7.svg80px]][[File:8-simplex_t0127_A6.svg80px]][[File:8-simplex_t0127_A5.svg80px]][[File:8-simplex_t0127_A4.svg80px]][[File:8-simplex_t0127_A3.svg80px]][[File:8-simplex_t0127_A2.svg80px]]
t0,1,3,7{3,3,3,3,3,3,3}Heptiruncitruncated 8-simplex[[File:8-simplex_t0137.svg80px]][[File:8-simplex_t0137_A7.svg80px]][[File:8-simplex_t0137_A6.svg80px]][[File:8-simplex_t0137_A5.svg80px]][[File:8-simplex_t0137_A4.svg80px]][[File:8-simplex_t0137_A3.svg80px]][[File:8-simplex_t0137_A2.svg80px]]
t0,2,3,7{3,3,3,3,3,3,3}Heptiruncicantellated 8-simplex[[File:8-simplex_t0237.svg80px]][[File:8-simplex_t0237_A7.svg80px]][[File:8-simplex_t0237_A6.svg80px]][[File:8-simplex_t0237_A5.svg80px]][[File:8-simplex_t0237_A4.svg80px]][[File:8-simplex_t0237_A3.svg80px]][[File:8-simplex_t0237_A2.svg80px]]
t0,1,4,7{3,3,3,3,3,3,3}Heptisteritruncated 8-simplex[[File:8-simplex_t0147.svg80px]][[File:8-simplex_t0147_A7.svg80px]][[File:8-simplex_t0147_A6.svg80px]][[File:8-simplex_t0147_A5.svg80px]][[File:8-simplex_t0147_A4.svg80px]][[File:8-simplex_t0147_A3.svg80px]][[File:8-simplex_t0147_A2.svg80px]]
t0,2,4,7{3,3,3,3,3,3,3}Heptistericantellated 8-simplex[[File:8-simplex_t0247.svg80px]][[File:8-simplex_t0247_A7.svg80px]][[File:8-simplex_t0247_A6.svg80px]][[File:8-simplex_t0247_A5.svg80px]][[File:8-simplex_t0247_A4.svg80px]][[File:8-simplex_t0247_A3.svg80px]][[File:8-simplex_t0247_A2.svg80px]]
t0,3,4,7{3,3,3,3,3,3,3}Heptisteriruncinated 8-simplex[[File:8-simplex_t0347.svg80px]][[File:8-simplex_t0347_A7.svg80px]][[File:8-simplex_t0347_A6.svg80px]][[File:8-simplex_t0347_A5.svg80px]][[File:8-simplex_t0347_A4.svg80px]][[File:8-simplex_t0347_A3.svg80px]][[File:8-simplex_t0347_A2.svg80px]]
t0,1,5,7{3,3,3,3,3,3,3}Heptipentitruncated 8-simplex[[File:8-simplex_t0157.svg80px]][[File:8-simplex_t0157_A7.svg80px]][[File:8-simplex_t0157_A6.svg80px]][[File:8-simplex_t0157_A5.svg80px]][[File:8-simplex_t0157_A4.svg80px]][[File:8-simplex_t0157_A3.svg80px]][[File:8-simplex_t0157_A2.svg80px]]
t0,2,5,7{3,3,3,3,3,3,3}Heptipenticantellated 8-simplex[[File:8-simplex_t0257.svg80px]][[File:8-simplex_t0257_A7.svg80px]][[File:8-simplex_t0257_A6.svg80px]][[File:8-simplex_t0257_A5.svg80px]][[File:8-simplex_t0257_A4.svg80px]][[File:8-simplex_t0257_A3.svg80px]][[File:8-simplex_t0257_A2.svg80px]]
t0,1,6,7{3,3,3,3,3,3,3}Heptihexitruncated 8-simplex[[File:8-simplex_t0167.svg80px]][[File:8-simplex_t0167_A7.svg80px]][[File:8-simplex_t0167_A6.svg80px]][[File:8-simplex_t0167_A5.svg80px]][[File:8-simplex_t0167_A4.svg80px]][[File:8-simplex_t0167_A3.svg80px]][[File:8-simplex_t0167_A2.svg80px]]
t0,1,2,3,4{3,3,3,3,3,3,3}Steriruncicantitruncated 8-simplex[[File:8-simplex_t01234.svg80px]][[File:8-simplex_t01234_A7.svg80px]][[File:8-simplex_t01234_A6.svg80px]][[File:8-simplex_t01234_A5.svg80px]][[File:8-simplex_t01234_A4.svg80px]][[File:8-simplex_t01234_A3.svg80px]][[File:8-simplex_t01234_A2.svg80px]]
t0,1,2,3,5{3,3,3,3,3,3,3}Pentiruncicantitruncated 8-simplex[[File:8-simplex_t01235.svg80px]][[File:8-simplex_t01235_A7.svg80px]][[File:8-simplex_t01235_A6.svg80px]][[File:8-simplex_t01235_A5.svg80px]][[File:8-simplex_t01235_A4.svg80px]][[File:8-simplex_t01235_A3.svg80px]][[File:8-simplex_t01235_A2.svg80px]]
t0,1,2,4,5{3,3,3,3,3,3,3}Pentistericantitruncated 8-simplex[[File:8-simplex_t01245.svg80px]][[File:8-simplex_t01245_A7.svg80px]][[File:8-simplex_t01245_A6.svg80px]][[File:8-simplex_t01245_A5.svg80px]][[File:8-simplex_t01245_A4.svg80px]][[File:8-simplex_t01245_A3.svg80px]][[File:8-simplex_t01245_A2.svg80px]]
t0,1,3,4,5{3,3,3,3,3,3,3}Pentisteriruncitruncated 8-simplex[[File:8-simplex_t01345.svg80px]][[File:8-simplex_t01345_A7.svg80px]][[File:8-simplex_t01345_A6.svg80px]][[File:8-simplex_t01345_A5.svg80px]][[File:8-simplex_t01345_A4.svg80px]][[File:8-simplex_t01345_A3.svg80px]][[File:8-simplex_t01345_A2.svg80px]]
t0,2,3,4,5{3,3,3,3,3,3,3}Pentisteriruncicantellated 8-simplex[[File:8-simplex_t02345.svg80px]][[File:8-simplex_t02345_A7.svg80px]][[File:8-simplex_t02345_A6.svg80px]][[File:8-simplex_t02345_A5.svg80px]][[File:8-simplex_t02345_A4.svg80px]][[File:8-simplex_t02345_A3.svg80px]][[File:8-simplex_t02345_A2.svg80px]]
t1,2,3,4,5{3,3,3,3,3,3,3}Bisteriruncicantitruncated 8-simplex[[File:8-simplex_t12345.svg80px]][[File:8-simplex_t12345_A7.svg80px]][[File:8-simplex_t12345_A6.svg80px]][[File:8-simplex_t12345_A5.svg80px]][[File:8-simplex_t12345_A4.svg80px]][[File:8-simplex_t12345_A3.svg80px]][[File:8-simplex_t12345_A2.svg80px]]
t0,1,2,3,6{3,3,3,3,3,3,3}Hexiruncicantitruncated 8-simplex[[File:8-simplex_t01236.svg80px]][[File:8-simplex_t01236_A7.svg80px]][[File:8-simplex_t01236_A6.svg80px]][[File:8-simplex_t01236_A5.svg80px]][[File:8-simplex_t01236_A4.svg80px]][[File:8-simplex_t01236_A3.svg80px]][[File:8-simplex_t01236_A2.svg80px]]
t0,1,2,4,6{3,3,3,3,3,3,3}Hexistericantitruncated 8-simplex[[File:8-simplex_t01246.svg80px]][[File:8-simplex_t01246_A7.svg80px]][[File:8-simplex_t01246_A6.svg80px]][[File:8-simplex_t01246_A5.svg80px]][[File:8-simplex_t01246_A4.svg80px]][[File:8-simplex_t01246_A3.svg80px]][[File:8-simplex_t01246_A2.svg80px]]
t0,1,3,4,6{3,3,3,3,3,3,3}Hexisteriruncitruncated 8-simplex[[File:8-simplex_t01346.svg80px]][[File:8-simplex_t01346_A7.svg80px]][[File:8-simplex_t01346_A6.svg80px]][[File:8-simplex_t01346_A5.svg80px]][[File:8-simplex_t01346_A4.svg80px]][[File:8-simplex_t01346_A3.svg80px]][[File:8-simplex_t01346_A2.svg80px]]
t0,2,3,4,6{3,3,3,3,3,3,3}Hexisteriruncicantellated 8-simplex[[File:8-simplex_t02346.svg80px]][[File:8-simplex_t02346_A7.svg80px]][[File:8-simplex_t02346_A6.svg80px]][[File:8-simplex_t02346_A5.svg80px]][[File:8-simplex_t02346_A4.svg80px]][[File:8-simplex_t02346_A3.svg80px]][[File:8-simplex_t02346_A2.svg80px]]
t1,2,3,4,6{3,3,3,3,3,3,3}Bipentiruncicantitruncated 8-simplex[[File:8-simplex_t12346.svg80px]][[File:8-simplex_t12346_A7.svg80px]][[File:8-simplex_t12346_A6.svg80px]][[File:8-simplex_t12346_A5.svg80px]][[File:8-simplex_t12346_A4.svg80px]][[File:8-simplex_t12346_A3.svg80px]][[File:8-simplex_t12346_A2.svg80px]]
t0,1,2,5,6{3,3,3,3,3,3,3}Hexipenticantitruncated 8-simplex[[File:8-simplex_t01256.svg80px]][[File:8-simplex_t01256_A7.svg80px]][[File:8-simplex_t01256_A6.svg80px]][[File:8-simplex_t01256_A5.svg80px]][[File:8-simplex_t01256_A4.svg80px]][[File:8-simplex_t01256_A3.svg80px]][[File:8-simplex_t01256_A2.svg80px]]
t0,1,3,5,6{3,3,3,3,3,3,3}Hexipentiruncitruncated 8-simplex[[File:8-simplex_t01356.svg80px]][[File:8-simplex_t01356_A7.svg80px]][[File:8-simplex_t01356_A6.svg80px]][[File:8-simplex_t01356_A5.svg80px]][[File:8-simplex_t01356_A4.svg80px]][[File:8-simplex_t01356_A3.svg80px]][[File:8-simplex_t01356_A2.svg80px]]
t0,2,3,5,6{3,3,3,3,3,3,3}Hexipentiruncicantellated 8-simplex[[File:8-simplex_t02356.svg80px]][[File:8-simplex_t02356_A7.svg80px]][[File:8-simplex_t02356_A6.svg80px]][[File:8-simplex_t02356_A5.svg80px]][[File:8-simplex_t02356_A4.svg80px]][[File:8-simplex_t02356_A3.svg80px]][[File:8-simplex_t02356_A2.svg80px]]
t1,2,3,5,6{3,3,3,3,3,3,3}Bipentistericantitruncated 8-simplex[[File:8-simplex_t12356.svg80px]][[File:8-simplex_t12356_A7.svg80px]][[File:8-simplex_t12356_A6.svg80px]][[File:8-simplex_t12356_A5.svg80px]][[File:8-simplex_t12356_A4.svg80px]][[File:8-simplex_t12356_A3.svg80px]][[File:8-simplex_t12356_A2.svg80px]]
t0,1,4,5,6{3,3,3,3,3,3,3}Hexipentisteritruncated 8-simplex[[File:8-simplex_t01456.svg80px]][[File:8-simplex_t01456_A7.svg80px]][[File:8-simplex_t01456_A6.svg80px]][[File:8-simplex_t01456_A5.svg80px]][[File:8-simplex_t01456_A4.svg80px]][[File:8-simplex_t01456_A3.svg80px]][[File:8-simplex_t01456_A2.svg80px]]
t0,2,4,5,6{3,3,3,3,3,3,3}Hexipentistericantellated 8-simplex[[File:8-simplex_t02456.svg80px]][[File:8-simplex_t02456_A7.svg80px]][[File:8-simplex_t02456_A6.svg80px]][[File:8-simplex_t02456_A5.svg80px]][[File:8-simplex_t02456_A4.svg80px]][[File:8-simplex_t02456_A3.svg80px]][[File:8-simplex_t02456_A2.svg80px]]
t0,3,4,5,6{3,3,3,3,3,3,3}Hexipentisteriruncinated 8-simplex[[File:8-simplex_t03456.svg80px]][[File:8-simplex_t03456_A7.svg80px]][[File:8-simplex_t03456_A6.svg80px]][[File:8-simplex_t03456_A5.svg80px]][[File:8-simplex_t03456_A4.svg80px]][[File:8-simplex_t03456_A3.svg80px]][[File:8-simplex_t03456_A2.svg80px]]
t0,1,2,3,7{3,3,3,3,3,3,3}Heptiruncicantitruncated 8-simplex[[File:8-simplex_t01237.svg80px]][[File:8-simplex_t01237_A7.svg80px]][[File:8-simplex_t01237_A6.svg80px]][[File:8-simplex_t01237_A5.svg80px]][[File:8-simplex_t01237_A4.svg80px]][[File:8-simplex_t01237_A3.svg80px]][[File:8-simplex_t01237_A2.svg80px]]
t0,1,2,4,7{3,3,3,3,3,3,3}Heptistericantitruncated 8-simplex[[File:8-simplex_t01247.svg80px]][[File:8-simplex_t01247_A7.svg80px]][[File:8-simplex_t01247_A6.svg80px]][[File:8-simplex_t01247_A5.svg80px]][[File:8-simplex_t01247_A4.svg80px]][[File:8-simplex_t01247_A3.svg80px]][[File:8-simplex_t01247_A2.svg80px]]
t0,1,3,4,7{3,3,3,3,3,3,3}Heptisteriruncitruncated 8-simplex[[File:8-simplex_t01347.svg80px]][[File:8-simplex_t01347_A7.svg80px]][[File:8-simplex_t01347_A6.svg80px]][[File:8-simplex_t01347_A5.svg80px]][[File:8-simplex_t01347_A4.svg80px]][[File:8-simplex_t01347_A3.svg80px]][[File:8-simplex_t01347_A2.svg80px]]
t0,2,3,4,7{3,3,3,3,3,3,3}Heptisteriruncicantellated 8-simplex[[File:8-simplex_t02347.svg80px]][[File:8-simplex_t02347_A7.svg80px]][[File:8-simplex_t02347_A6.svg80px]][[File:8-simplex_t02347_A5.svg80px]][[File:8-simplex_t02347_A4.svg80px]][[File:8-simplex_t02347_A3.svg80px]][[File:8-simplex_t02347_A2.svg80px]]
t0,1,2,5,7{3,3,3,3,3,3,3}Heptipenticantitruncated 8-simplex[[File:8-simplex_t01257.svg80px]][[File:8-simplex_t01257_A7.svg80px]][[File:8-simplex_t01257_A6.svg80px]][[File:8-simplex_t01257_A5.svg80px]][[File:8-simplex_t01257_A4.svg80px]][[File:8-simplex_t01257_A3.svg80px]][[File:8-simplex_t01257_A2.svg80px]]
t0,1,3,5,7{3,3,3,3,3,3,3}Heptipentiruncitruncated 8-simplex[[File:8-simplex_t01357.svg80px]][[File:8-simplex_t01357_A7.svg80px]][[File:8-simplex_t01357_A6.svg80px]][[File:8-simplex_t01357_A5.svg80px]][[File:8-simplex_t01357_A4.svg80px]][[File:8-simplex_t01357_A3.svg80px]][[File:8-simplex_t01357_A2.svg80px]]
t0,2,3,5,7{3,3,3,3,3,3,3}Heptipentiruncicantellated 8-simplex[[File:8-simplex_t02357.svg80px]][[File:8-simplex_t02357_A7.svg80px]][[File:8-simplex_t02357_A6.svg80px]][[File:8-simplex_t02357_A5.svg80px]][[File:8-simplex_t02357_A4.svg80px]][[File:8-simplex_t02357_A3.svg80px]][[File:8-simplex_t02357_A2.svg80px]]
t0,1,4,5,7{3,3,3,3,3,3,3}Heptipentisteritruncated 8-simplex[[File:8-simplex_t01457.svg80px]][[File:8-simplex_t01457_A7.svg80px]][[File:8-simplex_t01457_A6.svg80px]][[File:8-simplex_t01457_A5.svg80px]][[File:8-simplex_t01457_A4.svg80px]][[File:8-simplex_t01457_A3.svg80px]][[File:8-simplex_t01457_A2.svg80px]]
t0,1,2,6,7{3,3,3,3,3,3,3}Heptihexicantitruncated 8-simplex[[File:8-simplex_t01267.svg80px]][[File:8-simplex_t01267_A7.svg80px]][[File:8-simplex_t01267_A6.svg80px]][[File:8-simplex_t01267_A5.svg80px]][[File:8-simplex_t01267_A4.svg80px]][[File:8-simplex_t01267_A3.svg80px]][[File:8-simplex_t01267_A2.svg80px]]
t0,1,3,6,7{3,3,3,3,3,3,3}Heptihexiruncitruncated 8-simplex[[File:8-simplex_t01367.svg80px]][[File:8-simplex_t01367_A7.svg80px]][[File:8-simplex_t01367_A6.svg80px]][[File:8-simplex_t01367_A5.svg80px]][[File:8-simplex_t01367_A4.svg80px]][[File:8-simplex_t01367_A3.svg80px]][[File:8-simplex_t01367_A2.svg80px]]
t0,1,2,3,4,5{3,3,3,3,3,3,3}Pentisteriruncicantitruncated 8-simplex[[File:8-simplex_t012345.svg80px]][[File:8-simplex_t012345_A7.svg80px]][[File:8-simplex_t012345_A6.svg80px]][[File:8-simplex_t012345_A5.svg80px]][[File:8-simplex_t012345_A4.svg80px]][[File:8-simplex_t012345_A3.svg80px]][[File:8-simplex_t012345_A2.svg80px]]
t0,1,2,3,4,6{3,3,3,3,3,3,3}Hexisteriruncicantitruncated 8-simplex[[File:8-simplex_t012346.svg80px]][[File:8-simplex_t012346_A7.svg80px]][[File:8-simplex_t012346_A6.svg80px]][[File:8-simplex_t012346_A5.svg80px]][[File:8-simplex_t012346_A4.svg80px]][[File:8-simplex_t012346_A3.svg80px]][[File:8-simplex_t012346_A2.svg80px]]
t0,1,2,3,5,6{3,3,3,3,3,3,3}Hexipentiruncicantitruncated 8-simplex[[File:8-simplex_t012356.svg80px]][[File:8-simplex_t012356_A7.svg80px]][[File:8-simplex_t012356_A6.svg80px]][[File:8-simplex_t012356_A5.svg80px]][[File:8-simplex_t012356_A4.svg80px]][[File:8-simplex_t012356_A3.svg80px]][[File:8-simplex_t012356_A2.svg80px]]
t0,1,2,4,5,6{3,3,3,3,3,3,3}Hexipentistericantitruncated 8-simplex[[File:8-simplex_t012456.svg80px]][[File:8-simplex_t012456_A7.svg80px]][[File:8-simplex_t012456_A6.svg80px]][[File:8-simplex_t012456_A5.svg80px]][[File:8-simplex_t012456_A4.svg80px]][[File:8-simplex_t012456_A3.svg80px]][[File:8-simplex_t012456_A2.svg80px]]
t0,1,3,4,5,6{3,3,3,3,3,3,3}Hexipentisteriruncitruncated 8-simplex[[File:8-simplex_t013456.svg80px]][[File:8-simplex_t013456_A7.svg80px]][[File:8-simplex_t013456_A6.svg80px]][[File:8-simplex_t013456_A5.svg80px]][[File:8-simplex_t013456_A4.svg80px]][[File:8-simplex_t013456_A3.svg80px]][[File:8-simplex_t013456_A2.svg80px]]
t0,2,3,4,5,6{3,3,3,3,3,3,3}Hexipentisteriruncicantellated 8-simplex[[File:8-simplex_t023456.svg80px]][[File:8-simplex_t023456_A7.svg80px]][[File:8-simplex_t023456_A6.svg80px]][[File:8-simplex_t023456_A5.svg80px]][[File:8-simplex_t023456_A4.svg80px]][[File:8-simplex_t023456_A3.svg80px]][[File:8-simplex_t023456_A2.svg80px]]
t1,2,3,4,5,6{3,3,3,3,3,3,3}Bipentisteriruncicantitruncated 8-simplex[[File:8-simplex_t123456.svg80px]][[File:8-simplex_t123456_A7.svg80px]][[File:8-simplex_t123456_A6.svg80px]][[File:8-simplex_t123456_A5.svg80px]][[File:8-simplex_t123456_A4.svg80px]][[File:8-simplex_t123456_A3.svg80px]][[File:8-simplex_t123456_A2.svg80px]]
t0,1,2,3,4,7{3,3,3,3,3,3,3}Heptisteriruncicantitruncated 8-simplex[[File:8-simplex_t012347.svg80px]][[File:8-simplex_t012347_A7.svg80px]][[File:8-simplex_t012347_A6.svg80px]][[File:8-simplex_t012347_A5.svg80px]][[File:8-simplex_t012347_A4.svg80px]][[File:8-simplex_t012347_A3.svg80px]][[File:8-simplex_t012347_A2.svg80px]]
t0,1,2,3,5,7{3,3,3,3,3,3,3}Heptipentiruncicantitruncated 8-simplex[[File:8-simplex_t012357.svg80px]][[File:8-simplex_t012357_A7.svg80px]][[File:8-simplex_t012357_A6.svg80px]][[File:8-simplex_t012357_A5.svg80px]][[File:8-simplex_t012357_A4.svg80px]][[File:8-simplex_t012357_A3.svg80px]][[File:8-simplex_t012357_A2.svg80px]]
t0,1,2,4,5,7{3,3,3,3,3,3,3}Heptipentistericantitruncated 8-simplex[[File:8-simplex_t012457.svg80px]][[File:8-simplex_t012457_A7.svg80px]][[File:8-simplex_t012457_A6.svg80px]][[File:8-simplex_t012457_A5.svg80px]][[File:8-simplex_t012457_A4.svg80px]][[File:8-simplex_t012457_A3.svg80px]][[File:8-simplex_t012457_A2.svg80px]]
t0,1,3,4,5,7{3,3,3,3,3,3,3}Heptipentisteriruncitruncated 8-simplex[[File:8-simplex_t013457.svg80px]][[File:8-simplex_t013457_A7.svg80px]][[File:8-simplex_t013457_A6.svg80px]][[File:8-simplex_t013457_A5.svg80px]][[File:8-simplex_t013457_A4.svg80px]][[File:8-simplex_t013457_A3.svg80px]][[File:8-simplex_t013457_A2.svg80px]]
t0,2,3,4,5,7{3,3,3,3,3,3,3}Heptipentisteriruncicantellated 8-simplex[[File:8-simplex_t023457.svg80px]][[File:8-simplex_t023457_A7.svg80px]][[File:8-simplex_t023457_A6.svg80px]][[File:8-simplex_t023457_A5.svg80px]][[File:8-simplex_t023457_A4.svg80px]][[File:8-simplex_t023457_A3.svg80px]][[File:8-simplex_t023457_A2.svg80px]]
t0,1,2,3,6,7{3,3,3,3,3,3,3}Heptihexiruncicantitruncated 8-simplex[[File:8-simplex_t012367.svg80px]][[File:8-simplex_t012367_A7.svg80px]][[File:8-simplex_t012367_A6.svg80px]][[File:8-simplex_t012367_A5.svg80px]][[File:8-simplex_t012367_A4.svg80px]][[File:8-simplex_t012367_A3.svg80px]][[File:8-simplex_t012367_A2.svg80px]]
t0,1,2,4,6,7{3,3,3,3,3,3,3}Heptihexistericantitruncated 8-simplex[[File:8-simplex_t012467.svg80px]][[File:8-simplex_t012467_A7.svg80px]][[File:8-simplex_t012467_A6.svg80px]][[File:8-simplex_t012467_A5.svg80px]][[File:8-simplex_t012467_A4.svg80px]][[File:8-simplex_t012467_A3.svg80px]][[File:8-simplex_t012467_A2.svg80px]]
t0,1,3,4,6,7{3,3,3,3,3,3,3}Heptihexisteriruncitruncated 8-simplex[[File:8-simplex_t013467.svg80px]][[File:8-simplex_t013467_A7.svg80px]][[File:8-simplex_t013467_A6.svg80px]][[File:8-simplex_t013467_A5.svg80px]][[File:8-simplex_t013467_A4.svg80px]][[File:8-simplex_t013467_A3.svg80px]][[File:8-simplex_t013467_A2.svg80px]]
t0,1,2,5,6,7{3,3,3,3,3,3,3}Heptihexipenticantitruncated 8-simplex[[File:8-simplex_t012567.svg80px]][[File:8-simplex_t012567_A7.svg80px]][[File:8-simplex_t012567_A6.svg80px]][[File:8-simplex_t012567_A5.svg80px]][[File:8-simplex_t012567_A4.svg80px]][[File:8-simplex_t012567_A3.svg80px]][[File:8-simplex_t012567_A2.svg80px]]
t0,1,2,3,4,5,6{3,3,3,3,3,3,3}Hexipentisteriruncicantitruncated 8-simplex[[File:8-simplex_t0123456.svg80px]][[File:8-simplex_t0123456_A7.svg80px]][[File:8-simplex_t0123456_A6.svg80px]][[File:8-simplex_t0123456_A5.svg80px]][[File:8-simplex_t0123456_A4.svg80px]][[File:8-simplex_t0123456_A3.svg80px]][[File:8-simplex_t0123456_A2.svg80px]]
t0,1,2,3,4,5,7{3,3,3,3,3,3,3}Heptipentisteriruncicantitruncated 8-simplex[[File:8-simplex_t0123457.svg80px]][[File:8-simplex_t0123457_A7.svg80px]][[File:8-simplex_t0123457_A6.svg80px]][[File:8-simplex_t0123457_A5.svg80px]][[File:8-simplex_t0123457_A4.svg80px]][[File:8-simplex_t0123457_A3.svg80px]][[File:8-simplex_t0123457_A2.svg80px]]
t0,1,2,3,4,6,7{3,3,3,3,3,3,3}Heptihexisteriruncicantitruncated 8-simplex[[File:8-simplex_t0123467.svg80px]][[File:8-simplex_t0123467_A7.svg80px]][[File:8-simplex_t0123467_A6.svg80px]][[File:8-simplex_t0123467_A5.svg80px]][[File:8-simplex_t0123467_A4.svg80px]][[File:8-simplex_t0123467_A3.svg80px]][[File:8-simplex_t0123467_A2.svg80px]]
t0,1,2,3,5,6,7{3,3,3,3,3,3,3}Heptihexipentiruncicantitruncated 8-simplex[[File:8-simplex_t0123567.svg80px]][[File:8-simplex_t0123567_A7.svg80px]][[File:8-simplex_t0123567_A6.svg80px]][[File:8-simplex_t0123567_A5.svg80px]][[File:8-simplex_t0123567_A4.svg80px]][[File:8-simplex_t0123567_A3.svg80px]][[File:8-simplex_t0123567_A2.svg80px]]
t0,1,2,3,4,5,6,7{3,3,3,3,3,3,3}Omnitruncated 8-simplex[[File:8-simplex_t01234567.svg80px]][[File:8-simplex_t01234567_A7.svg80px]][[File:8-simplex_t01234567_A6.svg80px]][[File:8-simplex_t01234567_A5.svg80px]][[File:8-simplex_t01234567_A4.svg80px]][[File:8-simplex_t01234567_A3.svg80px]][[File:8-simplex_t01234567_A2.svg80px]]

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, wiley.com,
      • (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
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