Difference between revisions of "Convex polygon"

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All [[internal angle]]s of a convex polygon are less than <math>180^{\circ}</math>.  
 
All [[internal angle]]s of a convex polygon are less than <math>180^{\circ}</math>.  
These internal angles sum to 180(n-1) degrees.
+
These internal angles sum to 180(n-2) degrees.
  
 
The [[comvex hull]] of a set of points also turns out to be the convex polygon with some or all of the points as its vertices.
 
The [[comvex hull]] of a set of points also turns out to be the convex polygon with some or all of the points as its vertices.

Revision as of 18:00, 21 September 2007

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Convex polygon.png

A convex polygon is a polygon whose interior forms a convex set. That is, if any 2 points on the perimeter of the polygon are connected by a line segment, no point on that segment will be outside the polygon.

All internal angles of a convex polygon are less than $180^{\circ}$. These internal angles sum to 180(n-2) degrees.

The comvex hull of a set of points also turns out to be the convex polygon with some or all of the points as its vertices.

See also


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