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    <title>simplex -- Simplex in the variables of a polynomial ring.</title>
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o1 = R

o1 : PolynomialRing</code></pre>
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              <pre><code class="language-macaulay2">i2 : C=simplex(R)

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

o2 : complex of dim 4 embedded in dim 4 (printing facets)
     equidimensional, simplicial, F-vector {1, 5, 10, 10, 5, 1}, Euler = 0</code></pre>
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              <pre><code class="language-macaulay2">i3 : grading C

o3 = | -1 -1 -1 -1 |
     | 1  0  0  0  |
     | 0  1  0  0  |
     | 0  0  1  0  |
     | 0  0  0  1  |

5       4
o3 : Matrix ZZ  &lt;-- ZZ</code></pre>
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              <pre><code class="language-macaulay2">i4 : dC=C.dualComplex

o4 = 4: v v v v v  
         0 1 2 3 4

o4 : complex of dim 4 embedded in dim 4 (printing facets)
     equidimensional, simplicial</code></pre>
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              <pre><code class="language-macaulay2">i5 : grading dC

o5 = | -1 -1 -1 4  |
     | -1 -1 4  -1 |
     | -1 4  -1 -1 |
     | 4  -1 -1 -1 |
     | -1 -1 -1 -1 |

5       4
o5 : Matrix QQ  &lt;-- QQ</code></pre>
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              <pre><code class="language-macaulay2">i6 : fc(dC);</code></pre>
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              <pre><code class="language-macaulay2">i7 : dC

o7 = 4: v v v v v  
         0 1 2 3 4

o7 : complex of dim 4 embedded in dim 4 (printing facets)
     equidimensional, simplicial, F-vector {1, 5, 10, 10, 5, 1}, Euler = 0</code></pre>
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        <h2>See also</h2>
        <ul>
          <li><span><a title="The grading of a first order deformation or complex or polynomial ring." href="_grading.html">grading</a> -- The grading of a first order deformation or complex or polynomial ring.</span></li>
          <li><span><a title="The dual vertices of a polytope." href="_dual__Grading.html">dualGrading</a> -- The dual vertices of a polytope.</span></li>
        </ul>
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        <div class="waystouse">
          <h2>Ways to use <span class="tt">simplex</span>:</h2>
          <ul>
            <li><kbd>simplex(PolynomialRing)</kbd></li>
            <li><kbd>simplex(PolynomialRing,PolynomialRing)</kbd></li>
          </ul>
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        <div class="waystouse">
          <h2>For the programmer</h2>
          <p>The object <a title="Simplex in the variables of a polynomial ring." href="_simplex.html">simplex</a> is <span>a <a title="a type of method function" href="../../Macaulay2Doc/html/___Method__Function__With__Options.html">method function with options</a></span>.</p>
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        <hr>
        <div class="waystouse">
          <p>The source of this document is in <span class="tt">SRdeformations.m2:5979:0</span>.</p>
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