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Distance-Orbit Chart:
Lengths of Consistent Cycles
Cycle structures of semi-regular symmetries = 60 8, 60
8, 8 60, 8 60, 8 60, 8
60, 8 60, 8 60, 8 60, 8
60
V E |AG| vs ds
Transitivity Worthy? Bipartite?
girth diameter #STO's
480
960
(2^8)(3^1)(5^1)
8
2
Dart-Transitive
Worthy
Bip
8
15
1
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
1
4
4,8
4,8^4
1,2^2,4^3,8^5
2^2,4^8,8^2
2,4^6,8^2
2^2,8^4
8^4
4^4,8^2
2^4,4^6
4^4,8^2
8^4
8^4
4^4,8^2
1^2,2^3,4^2
8
30
60