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)

Hi, 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. for example: x <= a, y<=b; x+y <= c; x>=0; y>=0 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, Nilesh