Concave and Convex PolygonsDate: 08/13/2001 at 23:51:01 From: Jack Subject: Convex and Concave What's the difference between convex and concave polygons (or shapes in general)? Thank you very much. Date: 08/14/2001 at 12:01:10 From: Doctor Peterson Subject: Re: Convex and Concave Hi, Jack. A concave figure is one that has an indentation. This can be stated precisely by considering all line segments joining any two points in the interior of the figure. If the entire segment always lies within the figure, then the figure is convex; but if you can go on a straight line from one point in the interior to another and pass outside of the boundary, then the figure is concave: +---------------------+ / \ / \ / \ / \ / + \ / / \ + / \ \ +----------------+ \ \ / \ \ \ / \ \ / \ \ + \ \ \ +------------------+ - Doctor Peterson, The Math Forum http://mathforum.org/dr.math/ |
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