Question: Around Plato and Kepler

           Which Platonic solids can be obtained as the intersection of the 4d cube   -1<=x1<=1, -1<=x2<=1,-1<=x3<=1, -1<=x4<=1 and a 3d hyperspace A*x1+B*x2+C*x3+D*x4+E=0 (A^2+B^2+C^2+D^2<>0) in R^4? How to find it with Maple?

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