[GAP Forum] colored tetrahedron

[Alice C. Niemeyer]

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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