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Axial symmetry is symmetry around an axis; an object is axially symmetric if its appearance is unchanged if rotated around an axis.[1] For example, a baseball bat without trademark or other design, or a plain white tea saucer, looks the same if it is rotated by any angle about the line passing lengthwise through its center, so it is axially symmetric.

Surface of revolution illustration

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

Axial symmetry can also be discrete with a fixed angle of rotation, 360°/n for n-fold symmetry.
See also

Axiality (geometry)
Circular symmetry
Reflection symmetry
Rotational symmetry has a more general discussion
Chiral symmetry describes the use in quantum mechanics


"Axial symmetry" American Meteorological Society glossary of meteorology. Retrieved 2010-04-08.


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