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Distance-Orbit Chart:
Generalized Ivanov Vectors
Cycle structures of semi-regular symmetries = 16 32, 16
32, 16 32, 16 32, 16 32, 16
32, 16 32, 16 32, 16 32, 16
32, 16 32, 16 32, 16 32, 16
32, 16 32, 16 32, 16 32, 16
32, 16 32, 16 32, 16 32, 16
32, 16 32, 16 32, 16 32
V E |AG| vs ds
Transitivity Worthy? Bipartite?
girth diameter #STO's
512
1024
(2^16)
256
64
Semisymmetric
Worthy
Bip
4
16
0
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
1
4
2,4^2
4^2,8^2
1,2^2,4^7
4^3,8^4
2^3,4^11
4^2,8^6
2^3,4^11
4^2,8^3
2^2,4^7
4^2,8^3
2^2,4^7
4^2,8^3
2^2,4^7
4^2,8^3
1^2,2,4^3
1
4
2,8
4^2,8^2
1,2,4,8^2,16
4^3,8^4
2,8^2,16^2
4^2,8^6
2^2,4^2,8^2,16
4^2,8^3
8^2,16
4^2,8^3
2^2,4,8,16
4^2,8^3
8^2,16
4^2,8^3
1^2,2,4,8
8
2
0
0
8
2
0
0