[seqfan] Re: Permutation inverse = inversion
Ron Hardin
rhhardin at att.net
Mon Aug 30 13:46:47 CEST 2010
----- Original Message ----
> From: Ron Hardin <rhhardin at att.net>
> To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
> Sent: Mon, August 30, 2010 6:32:29 AM
> Subject: [seqfan] Re: Permutation inverse = inversion
>
> Ignoring the bug off-the-array trailing 1, the inverse and inversion is
> also the reverse, which may be the key.
I wonder if these permutations are those
with 90 degree rotational symmerty..
0: 5 3 7 1 8 2 6 4 4 6 2 8 1 7 3 5
+ + + X + + + +
+ + + + + X + +
+ X + + + + + +
+ + + + + + + X
X + + + + + + +
+ + + + + + X +
+ + X + + + + +
+ + + + X + + +
1: 5 6 2 1 8 7 3 4 4 3 7 8 1 2 6 5
+ + + X + + + +
+ + X + + + + +
+ + + + + + X +
+ + + + + + + X
X + + + + + + +
+ X + + + + + +
+ + + + + X + +
+ + + + X + + +
2: 3 5 8 2 7 1 4 6 6 4 1 7 2 8 5 3
+ + + + + X + +
+ + + X + + + +
X + + + + + + +
+ + + + + + X +
+ X + + + + + +
+ + + + + + + X
+ + + + X + + +
+ + X + + + + +
3: 3 4 8 7 2 1 5 6 6 5 1 2 7 8 4 3
+ + + + + X + +
+ + + + X + + +
X + + + + + + +
+ X + + + + + +
+ + + + + + X +
+ + + + + + + X
+ + + X + + + +
+ + X + + + + +
4: 7 1 5 3 6 4 8 2 2 8 4 6 3 5 1 7
+ X + + + + + +
+ + + + + + + X
+ + + X + + + +
+ + + + + X + +
+ + X + + + + +
+ + + + X + + +
X + + + + + + +
+ + + + + + X +
5: 7 1 4 6 3 5 8 2 2 8 5 3 6 4 1 7
+ X + + + + + +
+ + + + + + + X
+ + + + X + + +
+ + X + + + + +
+ + + + + X + +
+ + + X + + + +
X + + + + + + +
+ + + + + + X +
6: 2 8 5 3 6 4 1 7 7 1 4 6 3 5 8 2
+ + + + + + X +
X + + + + + + +
+ + + X + + + +
+ + + + + X + +
+ + X + + + + +
+ + + + X + + +
+ + + + + + + X
+ X + + + + + +
7: 2 8 4 6 3 5 1 7 7 1 5 3 6 4 8 2
+ + + + + + X +
X + + + + + + +
+ + + + X + + +
+ + X + + + + +
+ + + + + X + +
+ + + X + + + +
+ + + + + + + X
+ X + + + + + +
8: 6 5 1 2 7 8 4 3 3 4 8 7 2 1 5 6
+ + X + + + + +
+ + + X + + + +
+ + + + + + + X
+ + + + + + X +
+ X + + + + + +
X + + + + + + +
+ + + + X + + +
+ + + + + X + +
9: 6 4 1 7 2 8 5 3 3 5 8 2 7 1 4 6
+ + X + + + + +
+ + + + X + + +
+ + + + + + + X
+ X + + + + + +
+ + + + + + X +
X + + + + + + +
+ + + X + + + +
+ + + + + X + +
10: 4 3 7 8 1 2 6 5 5 6 2 1 8 7 3 4
+ + + + X + + +
+ + + + + X + +
+ X + + + + + +
X + + + + + + +
+ + + + + + + X
+ + + + + + X +
+ + X + + + + +
+ + + X + + + +
11: 4 6 2 8 1 7 3 5 5 3 7 1 8 2 6 4
+ + + + X + + +
+ + X + + + + +
+ + + + + + X +
X + + + + + + +
+ + + + + + + X
+ X + + + + + +
+ + + + + X + +
+ + + X + + + +
More information about the SeqFan
mailing list