polygon

Also known as 2-polytope

thumb|400px|right|Some polygons of different kinds: open (excluding its boundary), boundary only (excluding interior), closed (including both boundary and interior), and self-intersecting. In geometry, a polygon () is a plane figure made up of line segments connected to form a closed polygonal chain.

AI overview

A polygon is a flat, closed shape made by connecting straight line segments end-to-end. Polygons are fundamental in geometry and appear everywhere in mathematics, design, and nature, making them essential for understanding how we measure and represent space.

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Wikidata facts

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Commons category: Polygons
Commons gallery: Polygon

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~22 min read

Article

23 sections

Contents

Etymology
Classification
Number of sides
Convexity and intersection
Equality and symmetry
Miscellaneous
Properties and formulas
Angles
Area
Simple polygons
Regular polygons
Self-intersecting
Centroid
Generalizations
Naming
History
In nature
Computer graphics
See also
References
Bibliography
Notes
External links

The segments of a closed polygonal chain are called its edges or sides. The points where two edges meet are the polygon's vertices or corners. An '''n-gon' is a polygon with n sides; for example, a triangle is a 3-gon.