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Distance-Orbit Chart:
Lengths of Consistent Cycles
Cycle structures of semi-regular symmetries = 40 10
V E |AG| vs ds
Transitivity Worthy? Bipartite?
girth diameter #STO's
400
800
(2^7)(5^2)
8
2
Dart-Transitive
Worthy
Bip
4
20
3
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
1
4
4^2
4,8
4^2,8
4,8^2
4^2,8^2
4,8^3
4^2,8^3
4,8^4
2,4,8^4
4,8^4
4^2,8^3
4,8^3
4^2,8^2
4,8^2
4^2,8
4,8
4^2
4
1
4
20
40