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Pentagon

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A step-by-step diagram showing how to construct a regular pentagon, a five-sided polygon, using geometric principles.

What is a Pentagon?

A pentagon is a special shape with five sides. The word "pentagon" comes from old words that mean "five" and "angle." In any pentagon, all the inside angles add up to 540 degrees. Pentagons can be simple shapes where the sides do not cross, or they can be more tricky shapes where the sides do cross each other.

One fun kind of pentagon is called a pentagram. It looks like a five-pointed star and is made by connecting the corners of a regular pentagon in a special way.

Fun Facts About Pentagons

Pentagons are not just shapes you see in math class! They appear in many places in nature, art, and everyday life.

  • In nature, you can find pentagons in flowers like morning glories and fruits such as the apple and starfruit. Some sea animals, like sea stars and sea urchins, also show fivefold symmetry.
  • In buildings, The Pentagon is a very famous office building. It has five sides and is where many important people work.
  • In sports, the home plate on a baseball field is shaped like a pentagon.

Pentagons are also used in many math problems and puzzles. They help scientists and artists understand patterns and shapes in the world around us.

Images

A diagram showing the different ways a pentagon can be symmetrical.
A simple diagram showing a mathematical symbol used in geometry and group theory.
A Coxeter-Dynkin diagram, used in mathematics to represent symmetry groups.
An animation showing how to draw a regular pentagon inside a circle using geometric methods.
Diagram showing how to construct a regular pentagon using trigonometry.
An animated demonstration of a geometric construction using a pentagon and Euclidean methods.
A mathematical diagram showing a monohedral convex pentagonal tiling pattern.
A mathematical diagram showing a pattern made with convex pentagons.
A geometric pattern showing how five-sided shapes can fit together to cover a surface without gaps.
A geometric pattern showing how pentagons can fit together to tile a surface.
A colorful diagram showing a special way to tile a surface using pentagon shapes.
A colorful pattern made by repeating five-sided shapes to cover a surface without gaps or overlaps.
Mathematical diagram showing a pattern of pentagonal tiles fitting together.

Related articles

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

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