Good morning,

I want to  to show the 2-simplex (in R^2) obtained from the inequality

x+ y+ z < = 12*a

 with a:=1;

x, y, z  >= 0.

(the angles of the triangle are (12,0,0), (0,12,0) and (0,0,12) )

The CORE of a cooperative game, is the set points that additionally satisfy the system

x+ y >= 6

x+ z >= 6

y + z >= 6

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.