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<head><title>QQ * Polyhedron -- rescales a polyhedron by a given positive factor</title>
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<div><h1>QQ * Polyhedron -- rescales a polyhedron by a given positive factor</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> Q = k * P</tt></div>
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<li><span>Operator: <a href="../../Macaulay2Doc/html/__st.html" title="a binary operator, usually used for multiplication">*</a></span></li>
<li><div class="single">Inputs:<ul><li><span><tt>k</tt>, <span>a <a href="../../Macaulay2Doc/html/___Q__Q.html">rational number</a></span>, <a href="../../Macaulay2Doc/html/___Z__Z.html" title="the class of all integers">ZZ</a> or <a href="../../Macaulay2Doc/html/___Q__Q.html" title="the class of all rational numbers">QQ</a>, strictly positive</span></li>
<li><span><tt>P</tt>, <span>a <a href="___Polyhedron.html">convex polyhedron</a></span></span></li>
</ul>
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<li><div class="single">Outputs:<ul><li><span><tt>Q</tt>, <span>a <a href="___Polyhedron.html">convex polyhedron</a></span></span></li>
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<div class="single"><h2>Description</h2>
<div><p/>
Rescales the <a href="___Polyhedron.html" title="the class of all convex polyhedra">Polyhedron</a> by the strictly positive factor
<tt>k</tt>.<table class="examples"><tr><td><pre>i1 : P = crossPolytope 3
o1 = {ambient dimension => 3 }
dimension of lineality space => 0
dimension of polyhedron => 3
number of facets => 8
number of rays => 0
number of vertices => 6
o1 : Polyhedron</pre>
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<tr><td><pre>i2 : k = 3
o2 = 3</pre>
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<tr><td><pre>i3 : Q = k * P
o3 = {ambient dimension => 3 }
dimension of lineality space => 0
dimension of polyhedron => 3
number of facets => 8
number of rays => 0
number of vertices => 6
o3 : Polyhedron</pre>
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<tr><td><pre>i4 : vertices Q
o4 = | -3 3 0 0 0 0 |
| 0 0 -3 3 0 0 |
| 0 0 0 0 -3 3 |
3 6
o4 : Matrix QQ <--- QQ</pre>
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