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<head><title>polar -- computes the polar of a polyhedron</title>
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<div><h1>polar -- computes the polar of a polyhedron</h1>
<div class="single"><h2>Synopsis</h2>
<ul><li><div class="list"><dl class="element"><dt class="heading">Usage: </dt><dd class="value"><div><tt> Pv = polar P</tt></div>
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<li><div class="single">Inputs:<ul><li><span><tt>P</tt>, <span>a <a href="___Polyhedron.html">convex polyhedron</a></span></span></li>
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<li><div class="single">Outputs:<ul><li><span><tt>Pv</tt>, <span>a <a href="___Polyhedron.html">convex polyhedron</a></span></span></li>
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<div class="single"><h2>Description</h2>
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The polar polyhedron of <tt>P</tt> in n-space is the polyhedron in the dual
space given by <tt>{v in (QQ^n)^* | v*p >= -1 for all p in P}</tt>.<table class="examples"><tr><td><pre>i1 : P = hypercube 3
o1 = {ambient dimension => 3 }
dimension of lineality space => 0
dimension of polyhedron => 3
number of facets => 6
number of rays => 0
number of vertices => 8
o1 : Polyhedron</pre>
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<tr><td><pre>i2 : Q = polar P
o2 = {ambient dimension => 3 }
dimension of lineality space => 0
dimension of polyhedron => 3
number of facets => 8
number of rays => 0
number of vertices => 6
o2 : Polyhedron</pre>
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<tr><td><pre>i3 : Q == crossPolytope 3
o3 = true</pre>
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<div class="waystouse"><h2>Ways to use <tt>polar</tt> :</h2>
<ul><li>polar(Polyhedron)</li>
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