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<head><title>fullCyclicPolytope -- Cyclic polytope.</title>
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<div><h1>fullCyclicPolytope -- Cyclic polytope.</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>fullCyclicPolytope(d,R)</tt></div>
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<li><div class="single">Inputs:<ul><li><span><tt>d</tt>, <span>an <a href="../../Macaulay2Doc/html/___Z__Z.html">integer</a></span>, positive</span></li>
<li><span><tt>R</tt>, <span>a <a href="../../Macaulay2Doc/html/___Polynomial__Ring.html">polynomial ring</a></span></span></li>
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<li><div class="single">Outputs:<ul><li><span><tt>C</tt>, <span>an <a href="___Complex.html">embedded complex</a></span></span></li>
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<div class="single"><h2>Description</h2>
<div><p>Returns the full cyclic polytope of dimension d with vertices the variables of R. A coker grading is added to R via the vertices of the moment curve (if R already has a coker grading then a warning is displayed) and translated such that 0 lies in the interior of C.</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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<div class="single"><h2>See also</h2>
<ul><li><span><a href="_boundary__Cyclic__Polytope.html" title="The boundary complex of a cyclic polytope.">boundaryCyclicPolytope</a> -- The boundary complex of a cyclic polytope.</span></li>
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<div class="waystouse"><h2>Ways to use <tt>fullCyclicPolytope</tt> :</h2>
<ul><li>fullCyclicPolytope(ZZ,PolynomialRing)</li>
<li>fullCyclicPolytope(ZZ,PolynomialRing,PolynomialRing)</li>
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