Art of Problem Solving

Concave polyhedron: Difference between revisions

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New page: A concave polyhedron is a polyhedron such that you can select two points inside it such that the line segment drawn between them intersects the border at least twice. {{stub}} [[Category...
 
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A concave polyhedron is a polyhedron such that you can select two points inside it such that the line segment drawn between them intersects the border at least twice.
A '''concave polyhedron''' is a [[polyhedron]] with the property that there exist two [[point]]s inside it such that the [[line segment]] drawn between them contains points not in the polyhedron.  In other words, a polyhedron is concave exactly when it is not [[convex polyhedron | convex]].
 
==See Also==
*[[Concave polygon]]


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Latest revision as of 20:24, 25 April 2008

A concave polyhedron is a polyhedron with the property that there exist two points inside it such that the line segment drawn between them contains points not in the polyhedron. In other words, a polyhedron is concave exactly when it is not convex.

See Also

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