A query regarding polytope's faces and vertices
- To: mathgroup at smc.vnet.net
- Subject: [mg93736] A query regarding polytope's faces and vertices
- From: "Nilesh Khude" <nilesh.khude at gmail.com>
- Date: Mon, 24 Nov 2008 04:14:48 -0500 (EST)
I am a new mathematica user and I would like to know whether there is a
standard mathematica command/ script to solve the following problem:
Any n- dimensional polytope is defined by the set of linear inequalities
(faces of the polytope). It is also defined by the the set of vertices.
x <= a,
x+y <= c;
Also with the condition that 0<= a,b <= c, this polytope is defined by the
vertices (0,0), (a,0), (b,0), (a, c-a), (c-b, b).
How can this be generalized to any set of linear inequalities? Could you
please help me solve this?
Thanks a lot,
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