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Distance-Orbit Chart:
Lengths of Consistent Cycles
Cycle structures of semi-regular symmetries = 72 6, 72
6, 72 6, 72 6
V E |AG| vs ds
Transitivity Worthy? Bipartite?
girth diameter #STO's
432
864
(2^6)(3^3)
4
1
Dart-Transitive
Worthy
Bip
6
18
3
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
1
4
4^3
4^6
1,2^4,4^6
4^10
2^3,4^8
4^7
2^4,4^4
4^6
4^6
4^6
2^4,4^4
4^6
4^6
4^6
2^4,4^4
4^6
2^4,4
12
72
72