# symmetry

▸ noun: the fact that something has two halves that are exactly the same▸ noun: the quality of being similar or of balancing each other

▸ noun: (mathematics) an attribute of a shape or relation; exact correspondence of form on opposite sides of a dividing line or plane

▸ noun: balance among the parts of something

▸ noun: (physics) the property of being isotropic; having the same value when measured in different directions

Music has a built-in

**symmetry**and asymmetry such as with thirds (minor and major) which are unequal progressions.

**Symmetry**(from Greek συμμετρεῖν symmetría "measure together") generally conveys two primary meanings. The first is an imprecise sense of harmonious or aesthetically pleasing proportionality? and balance; such that it reflects beauty or perfection. The second meaning is a precise and well-defined concept of balance or "patterned self-similarity" that can be demonstrated or proved according to the rules of a formal system: by geometry, through physics or otherwise.

Although the meanings are distinguishable in some contexts, both meanings of "

**symmetry**" are related and discussed in parallel.

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 geometric transformations such as scaling?, reflection, and rotation;
- through other kinds of functional transformations; and

This article describes these notions of

**symmetry**from four perspectives. The first is that of

**symmetry**in geometry, which is the most familiar type of

**symmetry**for many people. The second perspective is the more general meaning of

**symmetry**in mathematics as a whole. The third perspective describes

**symmetry**as it relates to science and technology?. In this context,

**symmetries**underlie some of the most profound results found in modern physics, including aspects of space and time. Finally, a fourth perspective discusses

**symmetry**in the humanities, covering its rich and varied use in history?, architecture?, art, and religion.

The opposite of

**symmetry**is asymmetry. Wikipedia, Symmetry

See Also

**Balance**

**Concord**

**Depolar**

**Disturbance of Equilibrium**

**Equation**

**Equation of Forces**

**Equilibrium**

**Figure 13.14 - Equilibrium as Reciprocal Forces**

**Fulcrum**

**Harmony**

**Neutral**

**Supersymmetry**

**Sympathy**

Page last modified on Sunday 30 of October, 2011 03:48:31 MDT