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<head><title>Fan * Fan -- computes the direct product</title>
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<div><h1>Fan * Fan -- computes the direct product</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> F = F1 * F2</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>F1</tt>, <span>an object of class <a href="___Fan.html" title="the class of all fans">Fan</a></span></span></li>
<li><span><tt>F2</tt>, <span>an object of class <a href="___Fan.html" title="the class of all fans">Fan</a></span></span></li>
</ul>
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<li><div class="single">Outputs:<ul><li><span><tt>F</tt>, <span>an object of class <a href="___Fan.html" title="the class of all fans">Fan</a></span></span></li>
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<div class="single"><h2>Description</h2>
<div><p/>
Computes the direct product of two fans. This is the fan given by <tt>C=C1 x C2</tt>
for all cones <tt>C1 in F1</tt> and <tt>C2 in F2</tt>, in the direct product of the
ambient spaces.<p/>
See also <a href="_direct__Product_lp__Fan_cm__Fan_rp.html" title="computes the direct product of two fans">directProduct(Fan,Fan)</a>.<table class="examples"><tr><td><pre>i1 : F1 = normalFan hypercube 1
o1 = {ambient dimension => 1 }
number of generating cones => 2
number of rays => 2
top dimension of the cones => 1
o1 : Fan</pre>
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<tr><td><pre>i2 : F2 = normalFan hypercube 2
o2 = {ambient dimension => 2 }
number of generating cones => 4
number of rays => 4
top dimension of the cones => 2
o2 : Fan</pre>
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<tr><td><pre>i3 : F = F1 * F2
o3 = {ambient dimension => 3 }
number of generating cones => 8
number of rays => 6
top dimension of the cones => 3
o3 : Fan</pre>
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<tr><td><pre>i4 : F == normalFan hypercube 3
o4 = true</pre>
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