Reflectional Symmetry is a property of certain geometrical objects that appears the same when mirrored or reflected along an axis. This axis has to cross the shape through the middle of that object dividing into equal halves.
In rotational symmetry, the object is identical when it is rotated by a certain amount.
The precise notions of symmetry have various measures and operational definitions. For example, symmetry may be observed
Asymmetry is the absence of symmetry. It is best defined like that because symmetry is relatively rare, and all other objects are asymmetric.
- For example, operations such as moving across a regularly patterned tile floor or rotating an eight-sided vase, or in the way music is played.
- See, e.g., Mainzer, Klaus (2005). Symmetry and complexity: the spirit and beauty of nonlinear science. World Scientific. ISBN 981-256-192-7.
- Symmetric objects can be material, such as a person, crystal, quilt, floor tiles, or molecule, or it can be an abstract structure such as a mathematical equation or a series of tones (music).