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Regular polygon

Adapted from Wikipedia · Explorer experience

A visual comparison of regular polygons from triangles to polygons with 60 sides, showing how shapes become more circle-like with more sides.

Regular Polygons

A regular polygon is a special flat shape. All its sides are the same length, and all its angles are the same size. This makes it very neat and symmetrical.

Regular polygons are found in many places. Bees build their hives with regular hexagons. This shape saves space. As you add more sides, the polygon starts to look like a circle.

Fun Facts

Regular polygons can be simple or star-shaped. A simple regular polygon has sides that do not cross each other. A star polygon looks like a star. The most famous one is the pentagram, a five-pointed star.

All regular polygons are self-dual. This means they look the same even when you flip them. For polygons with an odd number of sides, they look exactly the same when flipped.

Regular polygons are also used in 3D shapes. For example, a cube has square faces, which are regular polygons. These shapes are called uniform polyhedra because all their faces are the same.

Images

A simple diagram used in math to show relationships between geometric shapes.
A simple diagram used in math to show relationships between geometric shapes.
Diagram showing the key measurements and angles of a regular pentagon.
A simple mathematical symbol used in geometry to show relationships between shapes.

Related articles

This article is a child-friendly adaptation of the Wikipedia article on Regular polygon, available under CC BY-SA 4.0.

Images from Wikimedia Commons. Tap any image to view credits and license.