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Re: Permutations...

• To: mathgroup at smc.vnet.net
• Subject: [mg95825] Re: Permutations...
• From: "Bruno Campanini" <BC at gmail.com>
• Date: Wed, 28 Jan 2009 06:30:23 -0500 (EST)
• References: <glk869$oc9$1@smc.vnet.net> <glmsrs$mjt$1@smc.vnet.net>

"Mariano Su=E1rez-Alvarez" <mariano.suarezalvarez at gmail.com> wrote in mes=
sage
news:glmsrs$mjt$1 at smc.vnet.net...

> It is not at all evident what you mean by "rotations"
> and "translations". Unless you can give more details
> about what you really mean, it's a bit hard to guess...

Given  1 2 3 4  we have

Translations       Rotations (RotateLeft)
1 2 3 4              2 3 4 1        3 4 1 2        4 1 2 3
1 3 2 4              3 2 4 1        2 4 1 3        4 1 3 2
1 4 2 3              4 2 3 1        2 3 1 4        3 1 4 2
2 1 3 4              1 3 4 2        3 4 2 1        4 2 1 3
3 1 2 4              1 2 4 3        2 4 3 1        4 3 1 2
4 3 2 1              3 2 1 4        2 1 4 3        1 4 3 2

Together they are the  4! = 24  Permutations.

Bruno