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<head><title>facets -- The maximal faces of a complex.</title>
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<div><h1>facets -- The maximal faces of a complex.</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>facets(C)</tt></div>
</dd></dl>
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</li>
<li><div class="single">Inputs:<ul><li><span><tt>C</tt>, <span>an <a href="___Complex.html">embedded complex</a></span></span></li>
<li><span><tt>R</tt>, <span>a <a href="../../Macaulay2Doc/html/___Polynomial__Ring.html">polynomial ring</a></span></span></li>
</ul>
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<li><div class="single">Outputs:<ul><li><span><span>a <a href="../../Macaulay2Doc/html/___List.html">list</a></span></span></li>
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<div class="single"><h2>Description</h2>
<div><p>The maximal faces of C arranged in a list of lists with ascending dimension of the facets.</p>
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<table class="examples"><tr><td><pre>i1 : R=QQ[x_0..x_5]

o1 = R

o1 : PolynomialRing</pre>
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<tr><td><pre>i2 : C=fullCyclicPolytope(3,R)

o2 = 3: x x x x x x  
         0 1 2 3 4 5

o2 : complex of dim 3 embedded in dim 3 (printing facets)
     equidimensional, non-simplicial, F-vector {1, 6, 12, 8, 1}, Euler = 0</pre>
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<tr><td><pre>i3 : facets C

o3 = {{}, {}, {}, {}, {x x x x x x }}
                        0 1 2 3 4 5

o3 : List</pre>
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<tr><td><pre>i4 : dC=boundaryOfPolytope(C);</pre>
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<tr><td><pre>i5 : facets dC

o5 = {{}, {}, {}, {x x x , x x x , x x x , x x x , x x x , x x x , x x x ,
                    0 1 2   0 2 3   0 3 4   0 1 5   1 2 5   2 3 5   0 4 5 
     ------------------------------------------------------------------------
     x x x }, {}}
      3 4 5

o5 : List</pre>
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<div class="single"><h2>See also</h2>
<ul><li><span><a href="_fc.html" title="The faces of a complex.">fc</a> -- The faces of a complex.</span></li>
<li><span><a href="_polytopal__Facets.html" title="The facets of a polytope.">polytopalFacets</a> -- The facets of a polytope.</span></li>
</ul>
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<div class="waystouse"><h2>Ways to use <tt>facets</tt> :</h2>
<ul><li>facets(Complex)</li>
<li>facets(List)</li>
</ul>
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