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Distance-Orbit Chart:
Lengths of Consistent Cycles
Cycle structures of semi-regular symmetries = 144 2, 144
2
V E |AG| vs ds
Transitivity Worthy? Bipartite?
girth diameter #STO's
288
576
(2^7)(3^2)
4
1
Dart-Transitive
Worthy
Bip
4
36
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
1
4
2^2,4
4^3
1,2^3,4
4^2
2^2,4
4^2
2^2,4
4^2
2^2,4
4^2
2^2,4
4^2
2^2,4
4^2
2^2,4
4^2
2^2,4
4^2
2^2,4
4^2
2^2,4
4^2
2^2,4
4^2
2^2,4
4^2
2^2,4
4^2
2^2,4
4^2
2^2,4
4^2
2^2,4
4^2
2^2
8
144
144