<?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>PolyhedralObject -- the class of all polyhedral objects in Polyhedra</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="___Polyhedron.html">next</a> | <a href="_polar.html">previous</a> | <a href="___Polyhedron.html">forward</a> | <a href="_polar.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>PolyhedralObject -- the class of all polyhedral objects in Polyhedra</h1> <div class="single"><h2>Description</h2> <div><tt>PolyhedralObject</tt> is the parent class of the three polyhedral objects in Polyhedra:<ul><li><a href="___Polyhedron.html" title="the class of all convex polyhedra">Polyhedron</a></li> <li><a href="___Cone.html" title="the class of all rational convex polyhedral cones">Cone</a></li> <li><a href="___Fan.html" title="the class of all fans">Fan</a></li> </ul> <table class="examples"><tr><td><pre>i1 : convexHull matrix {{1,1,0,0},{1,0,1,0}} o1 = {ambient dimension => 2 } dimension of lineality space => 0 dimension of polyhedron => 2 number of facets => 4 number of rays => 0 number of vertices => 4 o1 : Polyhedron</pre> </td></tr> <tr><td><pre>i2 : posHull matrix {{1,2},{2,1}} o2 = {ambient dimension => 2 } dimension of lineality space => 0 dimension of the cone => 2 number of facets => 2 number of rays => 2 o2 : Cone</pre> </td></tr> <tr><td><pre>i3 : hirzebruch 3 o3 = {ambient dimension => 2 } number of generating cones => 4 number of rays => 4 top dimension of the cones => 2 o3 : Fan</pre> </td></tr> </table> </div> </div> <div class="waystouse"><h2>Types of PolyhedralObject :</h2> <ul><li><span><a href="___Cone.html" title="the class of all rational convex polyhedral cones">Cone</a> -- the class of all rational convex polyhedral cones</span></li> <li><span><a href="___Fan.html" title="the class of all fans">Fan</a> -- the class of all fans</span></li> <li><span><a href="___Polyhedron.html" title="the class of all convex polyhedra">Polyhedron</a> -- the class of all convex polyhedra</span></li> </ul> </div> <div class="waystouse"><h2>For the programmer</h2> <p>The object <a href="___Polyhedral__Object.html" title="the class of all polyhedral objects in Polyhedra">PolyhedralObject</a> is <span>a <a href="../../Macaulay2Doc/html/___Type.html">type</a></span>, with ancestor classes <a href="../../Macaulay2Doc/html/___Hash__Table.html" title="the class of all hash tables">HashTable</a> < <a href="../../Macaulay2Doc/html/___Thing.html" title="the class of all things">Thing</a>.</p> </div> </div> </body> </html>