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Distance-Orbit Chart:
Lengths of Consistent Cycles
Cycle structures of semi-regular symmetries = 30 9, 30
9, 30 9, 30 9, 30 9
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
15
3
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
1
4
4^3
2^2,4^6
2^4,4^6
2,4^5
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
1,2^2,4
6
30
30