Symmetry: State; balance of object
Symmetry is a property of certain geometrical objects that appears the same when reflected along an axis or when rotated around a point.
The opposite of symmetry is asymmetry, which refers to the absence of symmetry.
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In reflectional symmetry, the axis of symmetry must cross the shape through the middle, dividing it 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
- with respect to the passage of time;
- as a spatial relationship;
- through transformations such as rotation;
- through other kinds of transformations;
- as an aspect of scientific models, language, music and even knowledge itself.
References
Further reading
- Stewart, Ian (2007). Why beauty is truth: the history of symmetry. Basic Books. ISBN 9780465082360.
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