Uniform 9-polytope
The A9 family

Uniform 9-polytope

Section Title: The A9 family
Table Section Text: None

#	Graph	Coxeter-Dynkin diagram Schläfli symbol Name	Element counts

8-faces	7-faces	6-faces	5-faces	4-faces	Cells	Faces	Edges	Vertices

1	-	t0{3,3,3,3,3,3,3,3} 9-simplex (day)	10	45	120	210	252	210	120	45	10

2	-	t1{3,3,3,3,3,3,3,3} Rectified 9-simplex (reday)	360	45

3	-	t2{3,3,3,3,3,3,3,3} Birectified 9-simplex (breday)	1260	120

4	-	t3{3,3,3,3,3,3,3,3} Trirectified 9-simplex (treday)	2520	210

5	-	t4{3,3,3,3,3,3,3,3} Quadrirectified 9-simplex (icoy)	3150	252

6	-	t0,1{3,3,3,3,3,3,3,3} Truncated 9-simplex (teday)	405	90

7	-	t0,2{3,3,3,3,3,3,3,3} Cantellated 9-simplex	2880	360

8	-	t1,2{3,3,3,3,3,3,3,3} Bitruncated 9-simplex	1620	360

9	-	t0,3{3,3,3,3,3,3,3,3} Runcinated 9-simplex	8820	840

10	-	t1,3{3,3,3,3,3,3,3,3} Bicantellated 9-simplex	10080	1260

11	-	t2,3{3,3,3,3,3,3,3,3} Tritruncated 9-simplex (treday)	3780	840

12	-	t0,4{3,3,3,3,3,3,3,3} Stericated 9-simplex	15120	1260

13	-	t1,4{3,3,3,3,3,3,3,3} Biruncinated 9-simplex	26460	2520

14	-	t2,4{3,3,3,3,3,3,3,3} Tricantellated 9-simplex	20160	2520

15	t3,4{3,3,3,3,3,3,3,3} Quadritruncated 9-simplex	5670	1260

16	-	t0,5{3,3,3,3,3,3,3,3} Pentellated 9-simplex	15750	1260

17	t1,5{3,3,3,3,3,3,3,3} Bistericated 9-simplex	37800	3150

18	t2,5{3,3,3,3,3,3,3,3} Triruncinated 9-simplex	44100	4200

19	t3,5{3,3,3,3,3,3,3,3} Quadricantellated 9-simplex	25200	3150

20	-	t0,6{3,3,3,3,3,3,3,3} Hexicated 9-simplex	10080	840

21	t1,6{3,3,3,3,3,3,3,3} Bipentellated 9-simplex	31500	2520

22	t2,6{3,3,3,3,3,3,3,3} Tristericated 9-simplex	50400	4200

23	-	t0,7{3,3,3,3,3,3,3,3} Heptellated 9-simplex	3780	360

24	t1,7{3,3,3,3,3,3,3,3} Bihexicated 9-simplex	15120	1260

25	-	t0,8{3,3,3,3,3,3,3,3} Octellated 9-simplex	720	90

26	-	t0,1,2{3,3,3,3,3,3,3,3} Cantitruncated 9-simplex	3240	720

27	t0,1,3{3,3,3,3,3,3,3,3} Runcitruncated 9-simplex	18900	2520

28	t0,2,3{3,3,3,3,3,3,3,3} Runcicantellated 9-simplex	12600	2520

29	-	t1,2,3{3,3,3,3,3,3,3,3} Bicantitruncated 9-simplex	11340	2520

30	t0,1,4{3,3,3,3,3,3,3,3} Steritruncated 9-simplex	47880	5040

31	t0,2,4{3,3,3,3,3,3,3,3} Stericantellated 9-simplex	60480	7560

32	t1,2,4{3,3,3,3,3,3,3,3} Biruncitruncated 9-simplex	52920	7560

33	t0,3,4{3,3,3,3,3,3,3,3} Steriruncinated 9-simplex	27720	5040

34	t1,3,4{3,3,3,3,3,3,3,3} Biruncicantellated 9-simplex	41580	7560

35	-	t2,3,4{3,3,3,3,3,3,3,3} Tricantitruncated 9-simplex	22680	5040

36	t0,1,5{3,3,3,3,3,3,3,3} Pentitruncated 9-simplex	66150	6300

37	t0,2,5{3,3,3,3,3,3,3,3} Penticantellated 9-simplex	126000	12600

38	t1,2,5{3,3,3,3,3,3,3,3} Bisteritruncated 9-simplex	107100	12600

39	t0,3,5{3,3,3,3,3,3,3,3} Pentiruncinated 9-simplex	107100	12600

40	t1,3,5{3,3,3,3,3,3,3,3} Bistericantellated 9-simplex	151200	18900

41	t2,3,5{3,3,3,3,3,3,3,3} Triruncitruncated 9-simplex	81900	12600

42	t0,4,5{3,3,3,3,3,3,3,3} Pentistericated 9-simplex	37800	6300

43	t1,4,5{3,3,3,3,3,3,3,3} Bisteriruncinated 9-simplex	81900	12600

44	t2,4,5{3,3,3,3,3,3,3,3} Triruncicantellated 9-simplex	75600	12600

45	-	t3,4,5{3,3,3,3,3,3,3,3} Quadricantitruncated 9-simplex	28350	6300

46	t0,1,6{3,3,3,3,3,3,3,3} Hexitruncated 9-simplex	52920	5040

47	t0,2,6{3,3,3,3,3,3,3,3} Hexicantellated 9-simplex	138600	12600

48	t1,2,6{3,3,3,3,3,3,3,3} Bipentitruncated 9-simplex	113400	12600

49	t0,3,6{3,3,3,3,3,3,3,3} Hexiruncinated 9-simplex	176400	16800

50	t1,3,6{3,3,3,3,3,3,3,3} Bipenticantellated 9-simplex	239400	25200

51	t2,3,6{3,3,3,3,3,3,3,3} Tristeritruncated 9-simplex	126000	16800

52	t0,4,6{3,3,3,3,3,3,3,3} Hexistericated 9-simplex	113400	12600

53	t1,4,6{3,3,3,3,3,3,3,3} Bipentiruncinated 9-simplex	226800	25200

54	t2,4,6{3,3,3,3,3,3,3,3} Tristericantellated 9-simplex	201600	25200

55	t0,5,6{3,3,3,3,3,3,3,3} Hexipentellated 9-simplex	32760	5040

56	t1,5,6{3,3,3,3,3,3,3,3} Bipentistericated 9-simplex	94500	12600

57	t0,1,7{3,3,3,3,3,3,3,3} Heptitruncated 9-simplex	23940	2520

58	t0,2,7{3,3,3,3,3,3,3,3} Hepticantellated 9-simplex	83160	7560

59	t1,2,7{3,3,3,3,3,3,3,3} Bihexitruncated 9-simplex	64260	7560

60	t0,3,7{3,3,3,3,3,3,3,3} Heptiruncinated 9-simplex	144900	12600

61	t1,3,7{3,3,3,3,3,3,3,3} Bihexicantellated 9-simplex	189000	18900

62	t0,4,7{3,3,3,3,3,3,3,3} Heptistericated 9-simplex	138600	12600

63	t1,4,7{3,3,3,3,3,3,3,3} Bihexiruncinated 9-simplex	264600	25200

64	t0,5,7{3,3,3,3,3,3,3,3} Heptipentellated 9-simplex	71820	7560

65	t0,6,7{3,3,3,3,3,3,3,3} Heptihexicated 9-simplex	17640	2520

66	t0,1,8{3,3,3,3,3,3,3,3} Octitruncated 9-simplex	5400	720

67	t0,2,8{3,3,3,3,3,3,3,3} Octicantellated 9-simplex	25200	2520

68	t0,3,8{3,3,3,3,3,3,3,3} Octiruncinated 9-simplex	57960	5040

69	t0,4,8{3,3,3,3,3,3,3,3} Octistericated 9-simplex	75600	6300

70	t0,1,2,3{3,3,3,3,3,3,3,3} Runcicantitruncated 9-simplex	22680	5040

71	t0,1,2,4{3,3,3,3,3,3,3,3} Stericantitruncated 9-simplex	105840	15120

72	t0,1,3,4{3,3,3,3,3,3,3,3} Steriruncitruncated 9-simplex	75600	15120

73	t0,2,3,4{3,3,3,3,3,3,3,3} Steriruncicantellated 9-simplex	75600	15120

74	t1,2,3,4{3,3,3,3,3,3,3,3} Biruncicantitruncated 9-simplex	68040	15120

75	t0,1,2,5{3,3,3,3,3,3,3,3} Penticantitruncated 9-simplex	214200	25200

76	t0,1,3,5{3,3,3,3,3,3,3,3} Pentiruncitruncated 9-simplex	283500	37800

77	t0,2,3,5{3,3,3,3,3,3,3,3} Pentiruncicantellated 9-simplex	264600	37800

78	t1,2,3,5{3,3,3,3,3,3,3,3} Bistericantitruncated 9-simplex	245700	37800

79	t0,1,4,5{3,3,3,3,3,3,3,3} Pentisteritruncated 9-simplex	138600	25200

80	t0,2,4,5{3,3,3,3,3,3,3,3} Pentistericantellated 9-simplex	226800	37800

81	t1,2,4,5{3,3,3,3,3,3,3,3} Bisteriruncitruncated 9-simplex	189000	37800

82	t0,3,4,5{3,3,3,3,3,3,3,3} Pentisteriruncinated 9-simplex	138600	25200

83	t1,3,4,5{3,3,3,3,3,3,3,3} Bisteriruncicantellated 9-simplex	207900	37800

84	t2,3,4,5{3,3,3,3,3,3,3,3} Triruncicantitruncated 9-simplex	113400	25200

85	t0,1,2,6{3,3,3,3,3,3,3,3} Hexicantitruncated 9-simplex	226800	25200

86	t0,1,3,6{3,3,3,3,3,3,3,3} Hexiruncitruncated 9-simplex	453600	50400

87	t0,2,3,6{3,3,3,3,3,3,3,3} Hexiruncicantellated 9-simplex	403200	50400

88	t1,2,3,6{3,3,3,3,3,3,3,3} Bipenticantitruncated 9-simplex	378000	50400

89	t0,1,4,6{3,3,3,3,3,3,3,3} Hexisteritruncated 9-simplex	403200	50400

90	t0,2,4,6{3,3,3,3,3,3,3,3} Hexistericantellated 9-simplex	604800	75600

91	t1,2,4,6{3,3,3,3,3,3,3,3} Bipentiruncitruncated 9-simplex	529200	75600

92	t0,3,4,6{3,3,3,3,3,3,3,3} Hexisteriruncinated 9-simplex	352800	50400

93	t1,3,4,6{3,3,3,3,3,3,3,3} Bipentiruncicantellated 9-simplex	529200	75600

94	t2,3,4,6{3,3,3,3,3,3,3,3} Tristericantitruncated 9-simplex	302400	50400

95	t0,1,5,6{3,3,3,3,3,3,3,3} Hexipentitruncated 9-simplex	151200	25200

96	t0,2,5,6{3,3,3,3,3,3,3,3} Hexipenticantellated 9-simplex	352800	50400

97	t1,2,5,6{3,3,3,3,3,3,3,3} Bipentisteritruncated 9-simplex	277200	50400

98	t0,3,5,6{3,3,3,3,3,3,3,3} Hexipentiruncinated 9-simplex	352800	50400

99	t1,3,5,6{3,3,3,3,3,3,3,3} Bipentistericantellated 9-simplex	491400	75600

100	t2,3,5,6{3,3,3,3,3,3,3,3} Tristeriruncitruncated 9-simplex	252000	50400

101	t0,4,5,6{3,3,3,3,3,3,3,3} Hexipentistericated 9-simplex	151200	25200

102	t1,4,5,6{3,3,3,3,3,3,3,3} Bipentisteriruncinated 9-simplex	327600	50400

103	t0,1,2,7{3,3,3,3,3,3,3,3} Hepticantitruncated 9-simplex	128520	15120

104	t0,1,3,7{3,3,3,3,3,3,3,3} Heptiruncitruncated 9-simplex	359100	37800

105	t0,2,3,7{3,3,3,3,3,3,3,3} Heptiruncicantellated 9-simplex	302400	37800

106	t1,2,3,7{3,3,3,3,3,3,3,3} Bihexicantitruncated 9-simplex	283500	37800

107	t0,1,4,7{3,3,3,3,3,3,3,3} Heptisteritruncated 9-simplex	478800	50400

108	t0,2,4,7{3,3,3,3,3,3,3,3} Heptistericantellated 9-simplex	680400	75600

109	t1,2,4,7{3,3,3,3,3,3,3,3} Bihexiruncitruncated 9-simplex	604800	75600

110	t0,3,4,7{3,3,3,3,3,3,3,3} Heptisteriruncinated 9-simplex	378000	50400

111	t1,3,4,7{3,3,3,3,3,3,3,3} Bihexiruncicantellated 9-simplex	567000	75600

112	t0,1,5,7{3,3,3,3,3,3,3,3} Heptipentitruncated 9-simplex	321300	37800

113	t0,2,5,7{3,3,3,3,3,3,3,3} Heptipenticantellated 9-simplex	680400	75600

114	t1,2,5,7{3,3,3,3,3,3,3,3} Bihexisteritruncated 9-simplex	567000	75600

115	t0,3,5,7{3,3,3,3,3,3,3,3} Heptipentiruncinated 9-simplex	642600	75600

116	t1,3,5,7{3,3,3,3,3,3,3,3} Bihexistericantellated 9-simplex	907200	113400

117	t0,4,5,7{3,3,3,3,3,3,3,3} Heptipentistericated 9-simplex	264600	37800

118	t0,1,6,7{3,3,3,3,3,3,3,3} Heptihexitruncated 9-simplex	98280	15120

119	t0,2,6,7{3,3,3,3,3,3,3,3} Heptihexicantellated 9-simplex	302400	37800

120	t1,2,6,7{3,3,3,3,3,3,3,3} Bihexipentitruncated 9-simplex	226800	37800

121	t0,3,6,7{3,3,3,3,3,3,3,3} Heptihexiruncinated 9-simplex	428400	50400

122	t0,4,6,7{3,3,3,3,3,3,3,3} Heptihexistericated 9-simplex	302400	37800

123	t0,5,6,7{3,3,3,3,3,3,3,3} Heptihexipentellated 9-simplex	98280	15120

124	t0,1,2,8{3,3,3,3,3,3,3,3} Octicantitruncated 9-simplex	35280	5040

125	t0,1,3,8{3,3,3,3,3,3,3,3} Octiruncitruncated 9-simplex	136080	15120

126	t0,2,3,8{3,3,3,3,3,3,3,3} Octiruncicantellated 9-simplex	105840	15120

127	t0,1,4,8{3,3,3,3,3,3,3,3} Octisteritruncated 9-simplex	252000	25200

128	t0,2,4,8{3,3,3,3,3,3,3,3} Octistericantellated 9-simplex	340200	37800

129	t0,3,4,8{3,3,3,3,3,3,3,3} Octisteriruncinated 9-simplex	176400	25200

130	t0,1,5,8{3,3,3,3,3,3,3,3} Octipentitruncated 9-simplex	252000	25200

131	t0,2,5,8{3,3,3,3,3,3,3,3} Octipenticantellated 9-simplex	504000	50400

132	t0,3,5,8{3,3,3,3,3,3,3,3} Octipentiruncinated 9-simplex	453600	50400

133	t0,1,6,8{3,3,3,3,3,3,3,3} Octihexitruncated 9-simplex	136080	15120

134	t0,2,6,8{3,3,3,3,3,3,3,3} Octihexicantellated 9-simplex	378000	37800

135	t0,1,7,8{3,3,3,3,3,3,3,3} Octiheptitruncated 9-simplex	35280	5040

136	t0,1,2,3,4{3,3,3,3,3,3,3,3} Steriruncicantitruncated 9-simplex	136080	30240

137	t0,1,2,3,5{3,3,3,3,3,3,3,3} Pentiruncicantitruncated 9-simplex	491400	75600

138	t0,1,2,4,5{3,3,3,3,3,3,3,3} Pentistericantitruncated 9-simplex	378000	75600

139	t0,1,3,4,5{3,3,3,3,3,3,3,3} Pentisteriruncitruncated 9-simplex	378000	75600

140	t0,2,3,4,5{3,3,3,3,3,3,3,3} Pentisteriruncicantellated 9-simplex	378000	75600

141	t1,2,3,4,5{3,3,3,3,3,3,3,3} Bisteriruncicantitruncated 9-simplex	340200	75600

142	t0,1,2,3,6{3,3,3,3,3,3,3,3} Hexiruncicantitruncated 9-simplex	756000	100800

143	t0,1,2,4,6{3,3,3,3,3,3,3,3} Hexistericantitruncated 9-simplex	1058400	151200

144	t0,1,3,4,6{3,3,3,3,3,3,3,3} Hexisteriruncitruncated 9-simplex	982800	151200

145	t0,2,3,4,6{3,3,3,3,3,3,3,3} Hexisteriruncicantellated 9-simplex	982800	151200

146	t1,2,3,4,6{3,3,3,3,3,3,3,3} Bipentiruncicantitruncated 9-simplex	907200	151200

147	t0,1,2,5,6{3,3,3,3,3,3,3,3} Hexipenticantitruncated 9-simplex	554400	100800

148	t0,1,3,5,6{3,3,3,3,3,3,3,3} Hexipentiruncitruncated 9-simplex	907200	151200

149	t0,2,3,5,6{3,3,3,3,3,3,3,3} Hexipentiruncicantellated 9-simplex	831600	151200

150	t1,2,3,5,6{3,3,3,3,3,3,3,3} Bipentistericantitruncated 9-simplex	756000	151200

151	t0,1,4,5,6{3,3,3,3,3,3,3,3} Hexipentisteritruncated 9-simplex	554400	100800

152	t0,2,4,5,6{3,3,3,3,3,3,3,3} Hexipentistericantellated 9-simplex	907200	151200

153	t1,2,4,5,6{3,3,3,3,3,3,3,3} Bipentisteriruncitruncated 9-simplex	756000	151200

154	t0,3,4,5,6{3,3,3,3,3,3,3,3} Hexipentisteriruncinated 9-simplex	554400	100800

155	t1,3,4,5,6{3,3,3,3,3,3,3,3} Bipentisteriruncicantellated 9-simplex	831600	151200

156	t2,3,4,5,6{3,3,3,3,3,3,3,3} Tristeriruncicantitruncated 9-simplex	453600	100800

157	t0,1,2,3,7{3,3,3,3,3,3,3,3} Heptiruncicantitruncated 9-simplex	567000	75600

158	t0,1,2,4,7{3,3,3,3,3,3,3,3} Heptistericantitruncated 9-simplex	1209600	151200

159	t0,1,3,4,7{3,3,3,3,3,3,3,3} Heptisteriruncitruncated 9-simplex	1058400	151200

160	t0,2,3,4,7{3,3,3,3,3,3,3,3} Heptisteriruncicantellated 9-simplex	1058400	151200

161	t1,2,3,4,7{3,3,3,3,3,3,3,3} Bihexiruncicantitruncated 9-simplex	982800	151200

162	t0,1,2,5,7{3,3,3,3,3,3,3,3} Heptipenticantitruncated 9-simplex	1134000	151200

163	t0,1,3,5,7{3,3,3,3,3,3,3,3} Heptipentiruncitruncated 9-simplex	1701000	226800

164	t0,2,3,5,7{3,3,3,3,3,3,3,3} Heptipentiruncicantellated 9-simplex	1587600	226800

165	t1,2,3,5,7{3,3,3,3,3,3,3,3} Bihexistericantitruncated 9-simplex	1474200	226800

166	t0,1,4,5,7{3,3,3,3,3,3,3,3} Heptipentisteritruncated 9-simplex	982800	151200

167	t0,2,4,5,7{3,3,3,3,3,3,3,3} Heptipentistericantellated 9-simplex	1587600	226800

168	t1,2,4,5,7{3,3,3,3,3,3,3,3} Bihexisteriruncitruncated 9-simplex	1360800	226800

169	t0,3,4,5,7{3,3,3,3,3,3,3,3} Heptipentisteriruncinated 9-simplex	982800	151200

170	t1,3,4,5,7{3,3,3,3,3,3,3,3} Bihexisteriruncicantellated 9-simplex	1474200	226800

171	t0,1,2,6,7{3,3,3,3,3,3,3,3} Heptihexicantitruncated 9-simplex	453600	75600

172	t0,1,3,6,7{3,3,3,3,3,3,3,3} Heptihexiruncitruncated 9-simplex	1058400	151200

173	t0,2,3,6,7{3,3,3,3,3,3,3,3} Heptihexiruncicantellated 9-simplex	907200	151200

174	t1,2,3,6,7{3,3,3,3,3,3,3,3} Bihexipenticantitruncated 9-simplex	831600	151200

175	t0,1,4,6,7{3,3,3,3,3,3,3,3} Heptihexisteritruncated 9-simplex	1058400	151200

176	t0,2,4,6,7{3,3,3,3,3,3,3,3} Heptihexistericantellated 9-simplex	1587600	226800

177	t1,2,4,6,7{3,3,3,3,3,3,3,3} Bihexipentiruncitruncated 9-simplex	1360800	226800

178	t0,3,4,6,7{3,3,3,3,3,3,3,3} Heptihexisteriruncinated 9-simplex	907200	151200

179	t0,1,5,6,7{3,3,3,3,3,3,3,3} Heptihexipentitruncated 9-simplex	453600	75600

180	t0,2,5,6,7{3,3,3,3,3,3,3,3} Heptihexipenticantellated 9-simplex	1058400	151200

181	t0,3,5,6,7{3,3,3,3,3,3,3,3} Heptihexipentiruncinated 9-simplex	1058400	151200

182	t0,4,5,6,7{3,3,3,3,3,3,3,3} Heptihexipentistericated 9-simplex	453600	75600

183	t0,1,2,3,8{3,3,3,3,3,3,3,3} Octiruncicantitruncated 9-simplex	196560	30240

184	t0,1,2,4,8{3,3,3,3,3,3,3,3} Octistericantitruncated 9-simplex	604800	75600

185	t0,1,3,4,8{3,3,3,3,3,3,3,3} Octisteriruncitruncated 9-simplex	491400	75600

186	t0,2,3,4,8{3,3,3,3,3,3,3,3} Octisteriruncicantellated 9-simplex	491400	75600

187	t0,1,2,5,8{3,3,3,3,3,3,3,3} Octipenticantitruncated 9-simplex	856800	100800

188	t0,1,3,5,8{3,3,3,3,3,3,3,3} Octipentiruncitruncated 9-simplex	1209600	151200

189	t0,2,3,5,8{3,3,3,3,3,3,3,3} Octipentiruncicantellated 9-simplex	1134000	151200

190	t0,1,4,5,8{3,3,3,3,3,3,3,3} Octipentisteritruncated 9-simplex	655200	100800

191	t0,2,4,5,8{3,3,3,3,3,3,3,3} Octipentistericantellated 9-simplex	1058400	151200

192	t0,3,4,5,8{3,3,3,3,3,3,3,3} Octipentisteriruncinated 9-simplex	655200	100800

193	t0,1,2,6,8{3,3,3,3,3,3,3,3} Octihexicantitruncated 9-simplex	604800	75600

194	t0,1,3,6,8{3,3,3,3,3,3,3,3} Octihexiruncitruncated 9-simplex	1285200	151200

195	t0,2,3,6,8{3,3,3,3,3,3,3,3} Octihexiruncicantellated 9-simplex	1134000	151200

196	t0,1,4,6,8{3,3,3,3,3,3,3,3} Octihexisteritruncated 9-simplex	1209600	151200

197	t0,2,4,6,8{3,3,3,3,3,3,3,3} Octihexistericantellated 9-simplex	1814400	226800

198	t0,1,5,6,8{3,3,3,3,3,3,3,3} Octihexipentitruncated 9-simplex	491400	75600

199	t0,1,2,7,8{3,3,3,3,3,3,3,3} Octihepticantitruncated 9-simplex	196560	30240

200	t0,1,3,7,8{3,3,3,3,3,3,3,3} Octiheptiruncitruncated 9-simplex	604800	75600

201	t0,1,4,7,8{3,3,3,3,3,3,3,3} Octiheptisteritruncated 9-simplex	856800	100800

202	t0,1,2,3,4,5{3,3,3,3,3,3,3,3} Pentisteriruncicantitruncated 9-simplex	680400	151200

203	t0,1,2,3,4,6{3,3,3,3,3,3,3,3} Hexisteriruncicantitruncated 9-simplex	1814400	302400

204	t0,1,2,3,5,6{3,3,3,3,3,3,3,3} Hexipentiruncicantitruncated 9-simplex	1512000	302400

205	t0,1,2,4,5,6{3,3,3,3,3,3,3,3} Hexipentistericantitruncated 9-simplex	1512000	302400

206	t0,1,3,4,5,6{3,3,3,3,3,3,3,3} Hexipentisteriruncitruncated 9-simplex	1512000	302400

207	t0,2,3,4,5,6{3,3,3,3,3,3,3,3} Hexipentisteriruncicantellated 9-simplex	1512000	302400

208	t1,2,3,4,5,6{3,3,3,3,3,3,3,3} Bipentisteriruncicantitruncated 9-simplex	1360800	302400

209	t0,1,2,3,4,7{3,3,3,3,3,3,3,3} Heptisteriruncicantitruncated 9-simplex	1965600	302400

210	t0,1,2,3,5,7{3,3,3,3,3,3,3,3} Heptipentiruncicantitruncated 9-simplex	2948400	453600

211	t0,1,2,4,5,7{3,3,3,3,3,3,3,3} Heptipentistericantitruncated 9-simplex	2721600	453600

212	t0,1,3,4,5,7{3,3,3,3,3,3,3,3} Heptipentisteriruncitruncated 9-simplex	2721600	453600

213	t0,2,3,4,5,7{3,3,3,3,3,3,3,3} Heptipentisteriruncicantellated 9-simplex	2721600	453600

214	t1,2,3,4,5,7{3,3,3,3,3,3,3,3} Bihexisteriruncicantitruncated 9-simplex	2494800	453600

215	t0,1,2,3,6,7{3,3,3,3,3,3,3,3} Heptihexiruncicantitruncated 9-simplex	1663200	302400

216	t0,1,2,4,6,7{3,3,3,3,3,3,3,3} Heptihexistericantitruncated 9-simplex	2721600	453600

217	t0,1,3,4,6,7{3,3,3,3,3,3,3,3} Heptihexisteriruncitruncated 9-simplex	2494800	453600

218	t0,2,3,4,6,7{3,3,3,3,3,3,3,3} Heptihexisteriruncicantellated 9-simplex	2494800	453600

219	t1,2,3,4,6,7{3,3,3,3,3,3,3,3} Bihexipentiruncicantitruncated 9-simplex	2268000	453600

220	t0,1,2,5,6,7{3,3,3,3,3,3,3,3} Heptihexipenticantitruncated 9-simplex	1663200	302400

221	t0,1,3,5,6,7{3,3,3,3,3,3,3,3} Heptihexipentiruncitruncated 9-simplex	2721600	453600

222	t0,2,3,5,6,7{3,3,3,3,3,3,3,3} Heptihexipentiruncicantellated 9-simplex	2494800	453600

223	t1,2,3,5,6,7{3,3,3,3,3,3,3,3} Bihexipentistericantitruncated 9-simplex	2268000	453600

224	t0,1,4,5,6,7{3,3,3,3,3,3,3,3} Heptihexipentisteritruncated 9-simplex	1663200	302400

225	t0,2,4,5,6,7{3,3,3,3,3,3,3,3} Heptihexipentistericantellated 9-simplex	2721600	453600

226	t0,3,4,5,6,7{3,3,3,3,3,3,3,3} Heptihexipentisteriruncinated 9-simplex	1663200	302400

227	t0,1,2,3,4,8{3,3,3,3,3,3,3,3} Octisteriruncicantitruncated 9-simplex	907200	151200

228	t0,1,2,3,5,8{3,3,3,3,3,3,3,3} Octipentiruncicantitruncated 9-simplex	2116800	302400

229	t0,1,2,4,5,8{3,3,3,3,3,3,3,3} Octipentistericantitruncated 9-simplex	1814400	302400

230	t0,1,3,4,5,8{3,3,3,3,3,3,3,3} Octipentisteriruncitruncated 9-simplex	1814400	302400

231	t0,2,3,4,5,8{3,3,3,3,3,3,3,3} Octipentisteriruncicantellated 9-simplex	1814400	302400

232	t0,1,2,3,6,8{3,3,3,3,3,3,3,3} Octihexiruncicantitruncated 9-simplex	2116800	302400

233	t0,1,2,4,6,8{3,3,3,3,3,3,3,3} Octihexistericantitruncated 9-simplex	3175200	453600

234	t0,1,3,4,6,8{3,3,3,3,3,3,3,3} Octihexisteriruncitruncated 9-simplex	2948400	453600

235	t0,2,3,4,6,8{3,3,3,3,3,3,3,3} Octihexisteriruncicantellated 9-simplex	2948400	453600

236	t0,1,2,5,6,8{3,3,3,3,3,3,3,3} Octihexipenticantitruncated 9-simplex	1814400	302400

237	t0,1,3,5,6,8{3,3,3,3,3,3,3,3} Octihexipentiruncitruncated 9-simplex	2948400	453600

238	t0,2,3,5,6,8{3,3,3,3,3,3,3,3} Octihexipentiruncicantellated 9-simplex	2721600	453600

239	t0,1,4,5,6,8{3,3,3,3,3,3,3,3} Octihexipentisteritruncated 9-simplex	1814400	302400

240	t0,1,2,3,7,8{3,3,3,3,3,3,3,3} Octiheptiruncicantitruncated 9-simplex	907200	151200

241	t0,1,2,4,7,8{3,3,3,3,3,3,3,3} Octiheptistericantitruncated 9-simplex	2116800	302400

242	t0,1,3,4,7,8{3,3,3,3,3,3,3,3} Octiheptisteriruncitruncated 9-simplex	1814400	302400

243	t0,1,2,5,7,8{3,3,3,3,3,3,3,3} Octiheptipenticantitruncated 9-simplex	2116800	302400

244	t0,1,3,5,7,8{3,3,3,3,3,3,3,3} Octiheptipentiruncitruncated 9-simplex	3175200	453600

245	t0,1,2,6,7,8{3,3,3,3,3,3,3,3} Octiheptihexicantitruncated 9-simplex	907200	151200

246	t0,1,2,3,4,5,6{3,3,3,3,3,3,3,3} Hexipentisteriruncicantitruncated 9-simplex	2721600	604800

247	t0,1,2,3,4,5,7{3,3,3,3,3,3,3,3} Heptipentisteriruncicantitruncated 9-simplex	4989600	907200

248	t0,1,2,3,4,6,7{3,3,3,3,3,3,3,3} Heptihexisteriruncicantitruncated 9-simplex	4536000	907200

249	t0,1,2,3,5,6,7{3,3,3,3,3,3,3,3} Heptihexipentiruncicantitruncated 9-simplex	4536000	907200

250	t0,1,2,4,5,6,7{3,3,3,3,3,3,3,3} Heptihexipentistericantitruncated 9-simplex	4536000	907200

251	t0,1,3,4,5,6,7{3,3,3,3,3,3,3,3} Heptihexipentisteriruncitruncated 9-simplex	4536000	907200

252	t0,2,3,4,5,6,7{3,3,3,3,3,3,3,3} Heptihexipentisteriruncicantellated 9-simplex	4536000	907200

253	t1,2,3,4,5,6,7{3,3,3,3,3,3,3,3} Bihexipentisteriruncicantitruncated 9-simplex	4082400	907200

254	t0,1,2,3,4,5,8{3,3,3,3,3,3,3,3} Octipentisteriruncicantitruncated 9-simplex	3326400	604800

255	t0,1,2,3,4,6,8{3,3,3,3,3,3,3,3} Octihexisteriruncicantitruncated 9-simplex	5443200	907200

256	t0,1,2,3,5,6,8{3,3,3,3,3,3,3,3} Octihexipentiruncicantitruncated 9-simplex	4989600	907200

257	t0,1,2,4,5,6,8{3,3,3,3,3,3,3,3} Octihexipentistericantitruncated 9-simplex	4989600	907200

258	t0,1,3,4,5,6,8{3,3,3,3,3,3,3,3} Octihexipentisteriruncitruncated 9-simplex	4989600	907200

259	t0,2,3,4,5,6,8{3,3,3,3,3,3,3,3} Octihexipentisteriruncicantellated 9-simplex	4989600	907200

260	t0,1,2,3,4,7,8{3,3,3,3,3,3,3,3} Octiheptisteriruncicantitruncated 9-simplex	3326400	604800

261	t0,1,2,3,5,7,8{3,3,3,3,3,3,3,3} Octiheptipentiruncicantitruncated 9-simplex	5443200	907200

262	t0,1,2,4,5,7,8{3,3,3,3,3,3,3,3} Octiheptipentistericantitruncated 9-simplex	4989600	907200

263	t0,1,3,4,5,7,8{3,3,3,3,3,3,3,3} Octiheptipentisteriruncitruncated 9-simplex	4989600	907200

264	t0,1,2,3,6,7,8{3,3,3,3,3,3,3,3} Octiheptihexiruncicantitruncated 9-simplex	3326400	604800

265	t0,1,2,4,6,7,8{3,3,3,3,3,3,3,3} Octiheptihexistericantitruncated 9-simplex	5443200	907200

266	t0,1,2,3,4,5,6,7{3,3,3,3,3,3,3,3} Heptihexipentisteriruncicantitruncated 9-simplex	8164800	1814400

267	t0,1,2,3,4,5,6,8{3,3,3,3,3,3,3,3} Octihexipentisteriruncicantitruncated 9-simplex	9072000	1814400

268	t0,1,2,3,4,5,7,8{3,3,3,3,3,3,3,3} Octiheptipentisteriruncicantitruncated 9-simplex	9072000	1814400

269	t0,1,2,3,4,6,7,8{3,3,3,3,3,3,3,3} Octiheptihexisteriruncicantitruncated 9-simplex	9072000	1814400

270	t0,1,2,3,5,6,7,8{3,3,3,3,3,3,3,3} Octiheptihexipentiruncicantitruncated 9-simplex	9072000	1814400

271	t0,1,2,3,4,5,6,7,8{3,3,3,3,3,3,3,3} Omnitruncated 9-simplex	16329600	3628800

Sentence(s)

There are 271 forms of the Coxeter-Dynkin diagrams.

final_sentence: There are 271 forms of the Coxeter-Dynkin diagrams.