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

Asymmetry, Symmetry and Beauty

* ,
Chicago Center for Creative Development, 2800 N. Lakeview, Chicago, Illinois 60614, USA
* Author to whom correspondence should be addressed.
Received: 2 June 2010 / Revised: 10 July 2010 / Accepted: 16 July 2010 / Published: 30 July 2010
(This article belongs to the Special Issue Symmetry and Beauty)
Download PDF [2105 KB, 2 August 2010; original version 30 July 2010]


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 (CC BY 3.0).

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

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