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-1) degrees. |
| − | The [[ | + | 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 == | == See also == | ||
Revision as of 16:09, 21 September 2007
| This is an AoPSWiki Word of the Week for Sep 20-26 |
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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 
.
These internal angles sum to 180(n-1) 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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