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<a accesskey="3" href="page.php?w=5-polytope&amp;p=2">3.Next</a>
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<p>In <a href="page.php?w=geometry">geometry</a>, a <b>five-dimensional polytope</b> (or <b>5-polytope</b> or <b>polyteron</b>) is a <a href="page.php?w=polytope">polytope</a> in <a href="page.php?w=five-dimensional_space">five-dimensional space</a>, bounded by (<a href="page.php?w=4-polytope">4-polytope</a>) <a href="page.php?w=Facet_%28geometry%29">facets</a>, pairs of which share a <a href="page.php?w=Face_%28geometry%29">polyhedral cell</a>.</p>

<p><big> Definition </big></p>
<p>A 5-polytope is a closed five-dimensional figure with <a href="page.php?w=Vertex_%28geometry%29">vertices</a>,</p><p>
<a accesskey="3" href="page.php?w=5-polytope&amp;p=2">3.Next</a>
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