| Revision as of 19:01, 23 July 2008 editInfovarius (talk | contribs)Extended confirmed users1,683 editsNo edit summary← Previous edit | Latest revision as of 23:20, 20 November 2024 edit undoGhostInTheMachine (talk | contribs)Extended confirmed users, Page movers86,789 edits 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"Tag: Shortdesc helper | ||
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| {{Short description|When a shape does not change when rotated}} | |||
| '''Axial symmetry''' is ] around an axis; an object is axially symmetric if its appearance is unchanged if rotated around some axis. | |||
| {{one source |date=May 2024}} | |||
| ] has axial symmetry around an axis in 3-dimensions.]] | |||
| ]]] | |||
| '''Axial symmetry''' is ] around an axis; an object is axially symmetric if its appearance is unchanged if rotated around an axis.<ref> ] glossary of meteorology. Retrieved 2010-04-08.</ref> For example, a ] without trademark or other design, or a plain white ], 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 ] with a fixed angle of rotation, 360°/''n'' for n-fold symmetry. | |||
| ⚫ | == |
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| ⚫ | ==See also== | ||
| * ] | |||
| * ] | |||
| * ] | |||
| * ] has a more general discussion | * ] has a more general discussion | ||
| * ] describes the use in quantum mechanics | * ] describes the use in quantum mechanics | ||
| ==References== | |||
| {{Reflist}} | |||
| {{Authority control}} | |||
| ⚫ | {{geometry-stub}} | ||
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| ⚫ | {{elementary-geometry-stub}} | ||
Latest revision as of 23:20, 20 November 2024
When a shape does not change when rotated | This article relies largely or entirely on a single source. Relevant discussion may be found on the talk page. Please help improve this article by introducing citations to additional sources. Find sources: "Axial symmetry" – news · newspapers · books · scholar · JSTOR (May 2024) |
Axial symmetry is symmetry around an axis; an object is axially symmetric if its appearance is unchanged if rotated around an axis. 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
- Axiality (geometry)
- Circular symmetry
- Reflection symmetry
- Rotational symmetry has a more general discussion
- Chiral symmetry describes the use in quantum mechanics
References
- "Axial symmetry" American Meteorological Society glossary of meteorology. Retrieved 2010-04-08.
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