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<head><title>interiorPoint -- computes a point in the relative interior of the Polyhedron</title>
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<div><h1>interiorPoint -- computes a point in the relative interior of the 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> p = interiorPoint 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>p</tt>, <span>a <a href="../../Macaulay2Doc/html/___Matrix.html">matrix</a></span>, over <a href="../../Macaulay2Doc/html/___Q__Q.html" title="the class of all rational numbers">QQ</a> with only one column representing a point</span></li>
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<div class="single"><h2>Description</h2>
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<tt>interiorPoint</tt> takes the vertices of the <a href="___Polyhedron.html" title="the class of all convex polyhedra">Polyhedron</a> and computes the sum
multiplied by <tt>1/n</tt>, where <tt>n</tt> is the number of vertices.<table class="examples"><tr><td><pre>i1 : P = cyclicPolytope(3,5)
o1 = {ambient dimension => 3 }
dimension of lineality space => 0
dimension of polyhedron => 3
number of facets => 6
number of rays => 0
number of vertices => 5
o1 : Polyhedron</pre>
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<tr><td><pre>i2 : interiorPoint P
o2 = | 2 |
| 6 |
| 20 |
3 1
o2 : Matrix QQ <--- QQ</pre>
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<div class="waystouse"><h2>Ways to use <tt>interiorPoint</tt> :</h2>
<ul><li>interiorPoint(Polyhedron)</li>
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