A8 polytope
Graphs

A8 polytope

Section Title: Graphs
Table Section Text: None

#	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	t0,3,4,6{3,3,3,3,3,3,3} Hexisteriruncinated 8-simplex	-	-	-	-	-	-	-

72	t1,3,4,6{3,3,3,3,3,3,3} Bipentiruncicantellated 8-simplex	-	-	-	-	-	-	-

73	t0,1,5,6{3,3,3,3,3,3,3} Hexipentitruncated 8-simplex	-	-	-	-	-	-	-

74	t0,2,5,6{3,3,3,3,3,3,3} Hexipenticantellated 8-simplex	-	-	-	-	-	-	-

75	t1,2,5,6{3,3,3,3,3,3,3} Bipentisteritruncated 8-simplex	-	-	-	-	-	-	-

76	t0,3,5,6{3,3,3,3,3,3,3} Hexipentiruncinated 8-simplex	-	-	-	-	-	-	-

77	t0,4,5,6{3,3,3,3,3,3,3} Hexipentistericated 8-simplex	-	-	-	-	-	-	-

78	t0,1,2,7{3,3,3,3,3,3,3} Hepticantitruncated 8-simplex	-	-	-	-	-	-	-

79	t0,1,3,7{3,3,3,3,3,3,3} Heptiruncitruncated 8-simplex	-	-	-	-	-	-	-

80	t0,2,3,7{3,3,3,3,3,3,3} Heptiruncicantellated 8-simplex	-	-	-	-	-	-	-

81	t0,1,4,7{3,3,3,3,3,3,3} Heptisteritruncated 8-simplex	-	-	-	-	-	-	-

82	t0,2,4,7{3,3,3,3,3,3,3} Heptistericantellated 8-simplex	-	-	-	-	-	-	-

83	t0,3,4,7{3,3,3,3,3,3,3} Heptisteriruncinated 8-simplex	-	-	-	-	-	-	-

84	t0,1,5,7{3,3,3,3,3,3,3} Heptipentitruncated 8-simplex	-	-	-	-	-	-	-

85	t0,2,5,7{3,3,3,3,3,3,3} Heptipenticantellated 8-simplex	-	-	-	-	-	-	-

86	t0,1,6,7{3,3,3,3,3,3,3} Heptihexitruncated 8-simplex	-	-	-	-	-	-	-

87	t0,1,2,3,4{3,3,3,3,3,3,3} Steriruncicantitruncated 8-simplex	-	-	-	-	-	-	-

88	t0,1,2,3,5{3,3,3,3,3,3,3} Pentiruncicantitruncated 8-simplex	-	-	-	-	-	-	-

89	t0,1,2,4,5{3,3,3,3,3,3,3} Pentistericantitruncated 8-simplex	-	-	-	-	-	-	-

90	t0,1,3,4,5{3,3,3,3,3,3,3} Pentisteriruncitruncated 8-simplex	-	-	-	-	-	-	-

91	t0,2,3,4,5{3,3,3,3,3,3,3} Pentisteriruncicantellated 8-simplex	-	-	-	-	-	-	-

92	t1,2,3,4,5{3,3,3,3,3,3,3} Bisteriruncicantitruncated 8-simplex	-	-	-	-	-	-	-

93	t0,1,2,3,6{3,3,3,3,3,3,3} Hexiruncicantitruncated 8-simplex	-	-	-	-	-	-	-

94	t0,1,2,4,6{3,3,3,3,3,3,3} Hexistericantitruncated 8-simplex	-	-	-	-	-	-	-

95	t0,1,3,4,6{3,3,3,3,3,3,3} Hexisteriruncitruncated 8-simplex	-	-	-	-	-	-	-

96	t0,2,3,4,6{3,3,3,3,3,3,3} Hexisteriruncicantellated 8-simplex	-	-	-	-	-	-	-

97	t1,2,3,4,6{3,3,3,3,3,3,3} Bipentiruncicantitruncated 8-simplex	-	-	-	-	-	-	-

98	t0,1,2,5,6{3,3,3,3,3,3,3} Hexipenticantitruncated 8-simplex	-	-	-	-	-	-	-

99	t0,1,3,5,6{3,3,3,3,3,3,3} Hexipentiruncitruncated 8-simplex	-	-	-	-	-	-	-

100	t0,2,3,5,6{3,3,3,3,3,3,3} Hexipentiruncicantellated 8-simplex	-	-	-	-	-	-	-

101	t1,2,3,5,6{3,3,3,3,3,3,3} Bipentistericantitruncated 8-simplex	-	-	-	-	-	-	-

102	t0,1,4,5,6{3,3,3,3,3,3,3} Hexipentisteritruncated 8-simplex	-	-	-	-	-	-	-

103	t0,2,4,5,6{3,3,3,3,3,3,3} Hexipentistericantellated 8-simplex	-	-	-	-	-	-	-

104	t0,3,4,5,6{3,3,3,3,3,3,3} Hexipentisteriruncinated 8-simplex	-	-	-	-	-	-	-

105	t0,1,2,3,7{3,3,3,3,3,3,3} Heptiruncicantitruncated 8-simplex	-	-	-	-	-	-	-

106	t0,1,2,4,7{3,3,3,3,3,3,3} Heptistericantitruncated 8-simplex	-	-	-	-	-	-	-

107	t0,1,3,4,7{3,3,3,3,3,3,3} Heptisteriruncitruncated 8-simplex	-	-	-	-	-	-	-

108	t0,2,3,4,7{3,3,3,3,3,3,3} Heptisteriruncicantellated 8-simplex	-	-	-	-	-	-	-

109	t0,1,2,5,7{3,3,3,3,3,3,3} Heptipenticantitruncated 8-simplex	-	-	-	-	-	-	-

110	t0,1,3,5,7{3,3,3,3,3,3,3} Heptipentiruncitruncated 8-simplex	-	-	-	-	-	-	-

111	t0,2,3,5,7{3,3,3,3,3,3,3} Heptipentiruncicantellated 8-simplex	-	-	-	-	-	-	-

112	t0,1,4,5,7{3,3,3,3,3,3,3} Heptipentisteritruncated 8-simplex	-	-	-	-	-	-	-

113	t0,1,2,6,7{3,3,3,3,3,3,3} Heptihexicantitruncated 8-simplex	-	-	-	-	-	-	-

114	t0,1,3,6,7{3,3,3,3,3,3,3} Heptihexiruncitruncated 8-simplex	-	-	-	-	-	-	-

115	t0,1,2,3,4,5{3,3,3,3,3,3,3} Pentisteriruncicantitruncated 8-simplex	-	-	-	-	-	-	-

116	t0,1,2,3,4,6{3,3,3,3,3,3,3} Hexisteriruncicantitruncated 8-simplex	-	-	-	-	-	-	-

117	t0,1,2,3,5,6{3,3,3,3,3,3,3} Hexipentiruncicantitruncated 8-simplex	-	-	-	-	-	-	-

118	t0,1,2,4,5,6{3,3,3,3,3,3,3} Hexipentistericantitruncated 8-simplex	-	-	-	-	-	-	-

119	t0,1,3,4,5,6{3,3,3,3,3,3,3} Hexipentisteriruncitruncated 8-simplex	-	-	-	-	-	-	-

120	t0,2,3,4,5,6{3,3,3,3,3,3,3} Hexipentisteriruncicantellated 8-simplex	-	-	-	-	-	-	-

121	t1,2,3,4,5,6{3,3,3,3,3,3,3} Bipentisteriruncicantitruncated 8-simplex	-	-	-	-	-	-	-

122	t0,1,2,3,4,7{3,3,3,3,3,3,3} Heptisteriruncicantitruncated 8-simplex	-	-	-	-	-	-	-

123	t0,1,2,3,5,7{3,3,3,3,3,3,3} Heptipentiruncicantitruncated 8-simplex	-	-	-	-	-	-	-

124	t0,1,2,4,5,7{3,3,3,3,3,3,3} Heptipentistericantitruncated 8-simplex	-	-	-	-	-	-	-

125	t0,1,3,4,5,7{3,3,3,3,3,3,3} Heptipentisteriruncitruncated 8-simplex	-	-	-	-	-	-	-

126	t0,2,3,4,5,7{3,3,3,3,3,3,3} Heptipentisteriruncicantellated 8-simplex	-	-	-	-	-	-	-

127	t0,1,2,3,6,7{3,3,3,3,3,3,3} Heptihexiruncicantitruncated 8-simplex	-	-	-	-	-	-	-

128	t0,1,2,4,6,7{3,3,3,3,3,3,3} Heptihexistericantitruncated 8-simplex	-	-	-	-	-	-	-

129	t0,1,3,4,6,7{3,3,3,3,3,3,3} Heptihexisteriruncitruncated 8-simplex	-	-	-	-	-	-	-

130	t0,1,2,5,6,7{3,3,3,3,3,3,3} Heptihexipenticantitruncated 8-simplex	-	-	-	-	-	-	-

131	t0,1,2,3,4,5,6{3,3,3,3,3,3,3} Hexipentisteriruncicantitruncated 8-simplex	-	-	-	-	-	-	-

132	t0,1,2,3,4,5,7{3,3,3,3,3,3,3} Heptipentisteriruncicantitruncated 8-simplex	-	-	-	-	-	-	-

133	t0,1,2,3,4,6,7{3,3,3,3,3,3,3} Heptihexisteriruncicantitruncated 8-simplex	-	-	-	-	-	-	-

134	t0,1,2,3,5,6,7{3,3,3,3,3,3,3} Heptihexipentiruncicantitruncated 8-simplex	-	-	-	-	-	-	-

135	t0,1,2,3,4,5,6,7{3,3,3,3,3,3,3} Omnitruncated 8-simplex	-	-	-	-	-	-	-

Sentence(s)

Symmetric orthographic projections of these 135 polytopes can be made in the A₈, A₇, A₆, A₅, A₄, A₃, A₂.

final_sentence: Symmetric orthographic projections of these 135 polytopes can be made in the A₈, A₇, A₆, A₅, A₄, A₃, A₂.