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<a accesskey="3" href="page.php?w=convex_polytope&amp;p=2">3.Next</a>
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<p>A <b>convex polytope</b> is a special case of a <a href="page.php?w=polytope">polytope</a>, having the additional property that it is also a <a href="page.php?w=convex_set">convex set</a> contained in the -dimensional Euclidean space .Convex polytopes play an important role both in various branches of <a href="page.php?w=mathematics">mathematics</a> and in applied areas, most notably in <a href="page.php?w=linear_programming">linear programming</a>.</p>

<p><big>Terminology</big></p>
<p>Most texts use the term "polytope" for a <a href="page.php?w=bounded_set">bounded</a></p><p>
<a accesskey="3" href="page.php?w=convex_polytope&amp;p=2">3.Next</a>
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