[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.
>
=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*
>      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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> 
> 
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