Difference between revisions of "Convex polygon"
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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. | 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. | ||
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| + | All [[internal angle]]s of a convex polygon are less than <math>180^{\circ}</math>. | ||
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| + | == See also == | ||
| + | * [[Concave polygon]] | ||
| + | * [[Convex polyhedron]] | ||
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[[Category:Definition]] | [[Category:Definition]] | ||
Revision as of 19:15, 20 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 
.
See also
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