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Distance-Orbit Chart:
Lengths of Consistent Cycles
Cycle structures of semi-regular symmetries = 180 1
V E |AG| vs ds
Transitivity Worthy? Bipartite?
girth diameter #STO's
180
360
720
4
1
Dart-Transitive
Worthy
Bip
4
18
3
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
1
4
2^2,4
4^3
2^2,4^3
2^3,4^2
2,4^2
2,4^2
2,4^2
2,4^2
2,4^2
2,4^2
2,4^2
2,4^2
2,4^2
2,4^2
2,4^2
2,4^2
1,2^2
10
36
180