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Axial symmetry

Adapted from Wikipedia · Discoverer experience

Illustration showing how a shape creates a 3D surface when rotated around an axis.

Axial symmetry is a special kind of balance in shapes and objects. It means that an object looks the same when you spin it around a central line, called an axis. For example, a plain baseball bat or a simple white tea saucer looks exactly the same no matter how you turn it around the line that runs through its middle.

A surface of revolution has axial symmetry around an axis in 3-dimensions.

There are different types of axial symmetry. One type is called reflection symmetry, where an object looks the same when you flip it over, like a butterfly’s wings. Another type is rotational symmetry, where the object looks the same after being turned by certain angles. When an object can be spun around and still look the same at every angle, like a perfect circle, this is called circular symmetry. Objects that are symmetrical around a cylindrical shape, like a soda can, have what is called cylindrical symmetry.

Axial symmetry can also happen in steps. For example, a star-shaped object might only look the same after being turned by specific angles, such as every 72 degrees, which would be a form of discrete symmetry. This idea of symmetry helps scientists, artists, and designers understand patterns in nature and create beautiful, balanced structures.

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

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Axial symmetry — Safekipedia Discoverer