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Distance-Orbit Chart:
Lengths of Consistent Cycles
Cycle structures of semi-regular symmetries = 126 3, 126
3
V E |AG| vs ds
Transitivity Worthy? Bipartite?
girth diameter #STO's
378
756
(2^3)(3^3)(7^1)
4
1
Dart-Transitive
Worthy
Bip
4
21
3
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
1
4
2^2,4
4^3
2^2,4^3
4^5
2^2,4^5
4^7
2^2,4^7
2^5,4^4
2,4^4
2,4^4
2,4^4
2,4^4
2,4^4
2,4^4
2,4^4
2,4^4
2,4^4
2,4^4
2,4^4
1,2^4
18
42
126