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Symmetry 2010, 2(3), 1591-1624; doi:10.3390/sym2031591
Article

Asymmetry, Symmetry and Beauty

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Received: 2 June 2010; in revised form: 10 July 2010 / Accepted: 16 July 2010 / Published: 30 July 2010
(This article belongs to the Special Issue Symmetry and Beauty)
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Abstract: Asymmetry and symmetry coexist in natural and human processes.  The vital role of symmetry in art has been well demonstrated. This article highlights the complementary role of asymmetry. Further we show that the interaction of asymmetric action (recursion) and symmetric opposition (sinusoidal waves) are instrumental in generating creative features (relatively low entropy, temporal complexity, novelty (less recurrence in the data than in randomized copies and complex frequency composition). These features define Bios, a pattern found in musical compositions and in poetry, except for recurrence instead of novelty. Bios is a common pattern in many natural and human processes (quantum processes, the expansion of the universe, gravitational waves, cosmic microwave background radiation, DNA, physiological processes, animal and human populations, and economic time series). The reduction in entropy is significant, as it reveals creativity and contradicts the standard claim of unavoidable decay towards disorder. Artistic creations capture fundamental features of the world.
Keywords: poetry; music; bios; chaos; creativity poetry; music; bios; chaos; creativity
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Sabelli, H.; Lawandow, A.; Kopra, A.R. Asymmetry, Symmetry and Beauty. Symmetry 2010, 2, 1591-1624.

AMA Style

Sabelli H, Lawandow A, Kopra AR. Asymmetry, Symmetry and Beauty. Symmetry. 2010; 2(3):1591-1624.

Chicago/Turabian Style

Sabelli, Hector; Lawandow, Atoor; Kopra, Abbe R. 2010. "Asymmetry, Symmetry and Beauty." Symmetry 2, no. 3: 1591-1624.


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