[GAP Forum] colored tetrahedron
Saber
welcometn at yahoo.fr
Thu Jan 12 15:24:28 GMT 2006
Dear Alice Niemeyer,
thank you very much for your help.
i have added a link to your program.
Saber Mbarek
Algebra und Number Theory
University of Siegen, Germany
www.math.uni-siegen.de/~mbarek
--- "Alice C. Niemeyer" <alice at maths.uwa.edu.au> a
écrit :
> Dear Saber,
>
> It is currently not possible to draw tetrahedra in
> different colours
> using Xgap. You might have to find a different
> graphical package to do
> this.
>
> However, you can use GAP to count the number of
> different colourings
> of a tetrahedron for the groups A_n or S_n. You can
> find an exposition
> of the basic ideas on the GAP web site under
> Documentation -> Teaching -> Lectures and Workshops
> by Alice Niemeyer ->
> Lecture 3.
> Accompanying these lectures are also some GAP
> functions.
>
> Another reference is
> N. G. de Bruijn, in {\it Selecta Mathematica, III},
> 1--26. Heidelberger
> Taschenb\"ucher, 86, Springer, Berlin, 1971;
>
> All the best, Alice Niemeyer.
>
>
>
=*=*=*=*=*=*=*=*=*=*=*=M=*=*=*=*M*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*
> Alice C. Niemeyer =@\___) =@\ School of
> Mathematics & Statistics
> alice at maths.uwa.edu.au \_ ( ( \ University of
> Western Australia
> +61-8-6488 3890 .| .| .|_(\_) Nedlands, WA
> 6009, Australia.
>
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> WWW: http://www.maths.uwa.edu.au/~alice/
>
> On Tue, 3 Jan 2006, Saber wrote:
>
> >Dear GAP-Forum,
> >
> >i want to give all the possibilities to color the
> >nodes (up to 4 colors) of a regular tetrahedron:
> >1) related to the symmetric group $S_4$.
> >2) related to the alternating group $A_4$.
> >
> >is there any idea to draw this in (x)gap?
> >
> >
> >thanks in advance,
> >Saber.
> >
> >
> >
> >
> >
> >
>
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