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Distance-Orbit Chart:
Lengths of Consistent Cycles
Cycle structures of semi-regular symmetries = 84 6, 84
6, 84 6, 84 6, 84 6
V E |AG| vs ds
Transitivity Worthy? Bipartite?
girth diameter #STO's
504
1008
(2^5)(3^2)(7^1)
4
1
Dart-Transitive
Worthy
Bip
4
42
3
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
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
1
4
2^2,4
4^3
2^2,4^3
4^5
1,2^4,4^2
4^3
2^2,4^2
4^3
2^2,4^2
4^3
2^2,4^2
4^3
2^2,4^2
4^3
2^2,4^2
4^3
2^2,4^2
4^3
2^2,4^2
4^3
2^2,4^2
4^3
2^2,4^2
4^3
2^2,4^2
4^3
2^2,4^2
4^3
2^2,4^2
4^3
2^2,4^2
4^3
2^2,4^2
4^3
2^2,4^2
4^3
2^2,4^2
4^3
2^2,4^2
4^3
1^2,2^2
12
84
84