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Re: Permutations...

• To: mathgroup at smc.vnet.net
• Subject: [mg95891] Re: Permutations...
• From: Mariano Suárez-Alvarez <mariano.suarezalvarez at gmail.com>
• Date: Thu, 29 Jan 2009 05:55:37 -0500 (EST)
• References: <glk869$oc9$1@smc.vnet.net> <glmsrs$mjt$1@smc.vnet.net>

On Jan 28, 9:30 am, "Bruno Campanini" <B... at gmail.com> wrote:
> "Mariano Su=E1rez-Alvarez" <mariano.suarezalva... at gmail.com> wrote in messagenews: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.

This does into explain what you mean by "translations"
and "rotations" any more than your original message ;-)

-- m