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Axial symmetry

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This is the current revision of this page, as edited by GhostInTheMachine (talk | contribs) at 23:20, 20 November 2024 (Changing short description from "Symmetry with respect to an axis, when a shape which does not change upon undergoing a rotation around its symmetry axis" to "When a shape does not change when rotated"). The present address (URL) is a permanent link to this version.

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A surface of revolution has axial symmetry around an axis in 3-dimensions.
Discrete axial symmetry, order 5, in a pentagonal prism

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.

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

See also

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References

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