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Distance-Orbit Chart:
Lengths of Consistent Cycles
Cycle structures of semi-regular symmetries = 135 2, 10
27
V E |AG| vs ds
Transitivity Worthy? Bipartite?
girth diameter #STO's
270
540
(2^3)(3^3)(5^1)
4
1
Dart-Transitive
Worthy
Bip
6
27
1
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
1
4
4^3
2^2,4^3
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
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
1,4
10
108
108