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Distance-Orbit Chart:
Lengths of Consistent Cycles
Cycle structures of semi-regular symmetries = 12 42, 12
42, 42 12, 42 12, 42 12, 42
12, 42 12, 42 12, 42 12
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
6
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
4^3
2,4^7
1,2^3,4^9
2^3,4^8
2^4,4^5
4^6
4^6
2^4,4^4
4^6
4^6
2^4,4^4
4^6
4^6
2^4,4^4
4^6
4^6
2^4,4^4
4^6
4^6
1^2,2^3,4
12
42
42