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Distance-Orbit Chart:
Lengths of Consistent Cycles
Cycle structures of semi-regular symmetries = 60 8, 60
8, 60 8, 60 8, 8 60, 8
60, 8 60, 8 60, 8 60
V E |AG| vs ds
Transitivity Worthy? Bipartite?
girth diameter #STO's
480
960
(2^7)(3^1)(5^1)
4
1
Dart-Transitive
Worthy
Bip
8
15
3
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
1
4
4^3
4^9
1,2^2,4^13
4^14
1^2,2^8,4^6
4^8
4^8
4^8
4^8
4^8
2^8,4^4
4^8
4^8
2^2,4^3
8
60
60