<?xml version="1.0" encoding="utf-8" ?> <!-- for emacs: -*- coding: utf-8 -*- -->
<!-- Apache may like this line in the file .htaccess: AddCharset utf-8 .html -->
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1 plus MathML 2.0 plus SVG 1.1//EN" "http://www.w3.org/2002/04/xhtml-math-svg/xhtml-math-svg-flat.dtd" >
<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en">
<head><title>vert -- The vertices of a face or complex.</title>
<link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/>
</head>
<body>
<table class="buttons">
<tr>
<td><div><a href="_vertices__Dual__Polytope.html">next</a> | <a href="_vector__To__Monomial.html">previous</a> | <a href="_vertices__Dual__Polytope.html">forward</a> | <a href="_vector__To__Monomial.html">backward</a> | up | <a href="index.html">top</a> | <a href="master.html">index</a> | <a href="toc.html">toc</a> | <a href="http://www.math.uiuc.edu/Macaulay2/">Macaulay2 web site</a></div>
</td>
</tr>
</table>
<hr/>
<div><h1>vert -- The vertices of a face or 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>vert(F)</tt><br/><tt>vert(C)</tt></div>
</dd></dl>
</div>
</li>
<li><div class="single">Inputs:<ul><li><span><tt>F</tt>, <span>a <a href="___Face.html">face</a></span></span></li>
<li><span><tt>C</tt>, <span>an <a href="___Complex.html">embedded complex</a></span></span></li>
</ul>
</div>
</li>
<li><div class="single">Outputs:<ul><li><span><span>a <a href="../../Macaulay2Doc/html/___List.html">list</a></span></span></li>
</ul>
</div>
</li>
</ul>
</div>
<div class="single"><h2>Description</h2>
<div><p>The vertices of F or C.</p>
<div/>
<table class="examples"><tr><td><pre>i1 : R=QQ[x_0..x_4];</pre>
</td></tr>
<tr><td><pre>i2 : addCokerGrading R;
5 4
o2 : Matrix ZZ <--- ZZ</pre>
</td></tr>
<tr><td><pre>i3 : C=simplex R;</pre>
</td></tr>
<tr><td><pre>i4 : vert C
o4 = {x , x , x , x , x }
4 3 2 1 0
o4 : List</pre>
</td></tr>
<tr><td><pre>i5 : F=C.fc_2_0
o5 = x x x
0 1 2
o5 : face with 3 vertices</pre>
</td></tr>
<tr><td><pre>i6 : vert F
o6 = {x , x , x }
0 1 2
o6 : List</pre>
</td></tr>
</table>
</div>
</div>
<div class="single"><h2>See also</h2>
<ul><li><span><a href="_coordinates.html" title="The coordinates of a face.">coordinates</a> -- The coordinates of a face.</span></li>
</ul>
</div>
<div class="waystouse"><h2>Ways to use <tt>vert</tt> :</h2>
<ul><li>vert(Complex)</li>
<li>vert(Face)</li>
</ul>
</div>
</div>
</body>
</html>
