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Question: How may I obtain 2-simplex and 3-simplex?

Question:How may I obtain 2-simplex and 3-simplex?

DRicardo 0 Maple
December 22 2010
0

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

 

(In this case, it will be a triangle with angles (6,6,0), (0,6,6) and (6,0,6) ).

 

How can I obtain --and visualize the core -- with Maple?

Indeed, I would like to obtain something like the graphic attached in the file CORE_mapleprimes.pdf


 

Thanks a lot for your patience,

 

DRicardo

 

CORE_mapleprimes.pdf

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