## Symmetry

**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.

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### Some articles on symmetry:

Partition Function (mathematics) -

... reflects the fact that it is invariant under the action of a group

**Symmetry**... reflects the fact that it is invariant under the action of a group

**symmetry**, such as translational invariance ... Thus a**symmetry**in the Hamiltonian becomes a**symmetry**of the correlation function (and vice-versa) ... This**symmetry**has a critically important interpretation in probability theory it implies that the Gibbs measure has the Markov property that is, it is ...Bertrand's Box Paradox - Card Version - Solutions -

...

**Symmetry**...

**Symmetry**suggests that the probability is independent of the color chosen, so that the information about which color is shown does not affect the odds that both ...In History, Religion, and Culture -

... The relationship of

**Symmetry**in Aesthetics... The relationship of

**symmetry**to aesthetics is complex ... Certain simple symmetries, and in particular bilateral**symmetry**, seem to be deeply ingrained in the inherent perception by humans of the likely ... tendency to create artifacts with similar**symmetry**...The Fifty-Nine Icosahedra - Authors' Contributions - Miller's Rules

... (iii) The parts included in any one plane must have trigonal

... (iii) The parts included in any one plane must have trigonal

**symmetry**, without or with reflection ... This secures icosahedral**symmetry**for the whole solid ... where the parts can be divided into two sets, each giving a solid with as much**symmetry**as the whole figure ...**Symmetry**Set

... In geometry, the

**symmetry**set is a method for representing the local symmetries of a curve, and can be used as a method for representing the shape of objects by finding the topological skeleton ... The medial axis, a subset of the

**symmetry**set is a set of curves which roughly run along the middle of an object ...

### More definitions of "symmetry":

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

Synonyms: symmetricalness, correspondence, balance

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

Synonyms: isotropy

### Famous quotes containing the word symmetry:

“What makes a regiment of soldiers a more noble object of view than the same mass of mob? Their arms, their dresses, their banners, and the art and artificial *symmetry* of their position and movements.”

—George Gordon Noel Byron (1788–1824)

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