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Entropy 2003, 5(3), 271-312; doi:10.3390/e5030271

Review

Chirality and Symmetry Measures: A Transdisciplinary Review

Michel Petitjean

ITODYS (CNRS-Université Paris 7, UMR 7086), 1 rue Guy de la Brosse, 75005 Paris, France

Received: 20 April 2003 / Accepted: 3 July 2003 / Published: 3 July 2003

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Abstract: Many quantitative measures of the degree of chirality or symmetry of a set have been proposed in the literature. The main approaches from various areas are reviewed: chemistry, physics, mathematics, computer sciences, biology, and psychophysics. Relations between chirality, symmetry, and other concepts such as similarity, disorder and entropy, are discussed.

Keywords: chirality; symmetry; measure; continuous; quantitative; chiral index; direct symmetry index; asymmetry coefficient; skewness; chirality functions; quasi-symmetry; fuzzy symmetry

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