<?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>facets -- The maximal faces of a complex.</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_fc.html">next</a> | <a href="_face__To__Monomial.html">previous</a> | <a href="_fc.html">forward</a> | <a href="_face__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>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> </div> </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> </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 maximal faces of C arranged in a list of lists with ascending dimension of the facets.</p> <div/> <table class="examples"><tr><td><pre>i1 : R=QQ[x_0..x_5] o1 = R o1 : PolynomialRing</pre> </td></tr> <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> </td></tr> <tr><td><pre>i3 : facets C o3 = {{}, {}, {}, {}, {x x x x x x }} 0 1 2 3 4 5 o3 : List</pre> </td></tr> <tr><td><pre>i4 : dC=boundaryOfPolytope(C);</pre> </td></tr> <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> </td></tr> </table> </div> </div> <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> </div> <div class="waystouse"><h2>Ways to use <tt>facets</tt> :</h2> <ul><li>facets(Complex)</li> <li>facets(List)</li> </ul> </div> </div> </body> </html>