graphs of the regular polytopes

Ibn.Qirtaiba_at_gmail.com
Date: 03/16/05 

Date: 16 Mar 2005 07:45:04 -0500

I'd like to get the graphs of the regular polytopes (the 24-cell or the
120-cell in 4 dimensions for example). These are probably available in
some of the graph theory software packages but I don't have the time to
install and become familiar with these now.

All I need is the basic connection between the vertices and the edges.
For example for the 3-dimensional cube with 8 vertices and 12 edges :

 graph =
[[1,2],[2,3],[3,4],[4,1],[5,6],[6,7],[7,8],[8,5],[1,5],[2,6],[3,7],[4,8]]

Thanks.

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