Question: drawing 2-simplices and 3-simplices with Maple

I am trying to use Maple 14.01 for implementing the computation of some cooperative game solutions with transferable utility.

As a first step for computing the CORE, I need to be able to draw the 2-simplices ( a triangle in R^2 with vertices (1,0,0), (0,1,0), (0,0,1) and 3-simplices ( a tetrahedron  with vertices  (1,0,0,0), (0,1,0,0), (0,0,1,0), (0,0,0,1) ). Certainly, I would like to be able to rotate and to visualize from different angles the figure.

The second step will be to show some (shadowed) areas or volumes which satisfy a set of inequalities, but I will ask it later after being able to manipulate the simplices.

Best and thanks for your help,

 

DRicardo

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