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Distance-Orbit Chart:
Lengths of Consistent Cycles
Cycle structures of semi-regular symmetries = 30 16, 30
16, 30 16, 8 60, 8 60, 8
60, 8 60, 20 24, 20 24, 20
24, 20 24
V E |AG| vs ds
Transitivity Worthy? Bipartite?
girth diameter #STO's
480
960
(2^7)(3^1)(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
2,4^7
2^3,4^11
2^3,4^13
1,2^4,4^10
4^9
4^8
2^4,4^6
4^8
4^8
2^4,4^6
4^8
4^8
1^2,2^3,4^2
8
30
30