Math gifts

- Art Gallery -

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

References

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

 

Undergraduate Texts in Mathematics

Graduate Texts in Mathematics

Graduate Studies in Mathematics

Mathematics Encyclopedia

World

Index

Hellenica World - Scientific Library

Retrieved from "http://en.wikipedia.org/"
All text is available under the terms of the GNU Free Documentation License