Abstract
The notion of symmetry brings together beauty and usefulness, science and economy, mathematics and human relations. This presentation demonstrates the breadth and versatility of the symmetry concept. There are no symmetries specific to various disciplines, yet there are differences in emphasis in applications of the concept. The sciences, humanities and arts have gradually drifted apart; symmetry can provide a connecting link among them. The symmetry concept may be broadened to include harmony and proportion, constituents of symmetry often present in architectural composition. The symmetries considered here are point group, chiral, space group, and translational. While mathematical symmetry is exact and rigorous, the symmetry we encounter in everyday life is much more relaxed. The broad interpretation of the symmetry concept, coming close to blending fact and fantasy, may help scientists recognize trends, changes, and patterns.
First published as: Istvàn Hargittai and Magdolna Hargittai , “The Universality of the Symmetry Concept”, pp. 81–95 in Nexus I: Architecture and Mathematics, ed. Kim Williams, Fucecchio (Florence): Edizioni dell’Erba, 1996.
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Hargittai, I., Hargittai, M. (2015). The Universality of the Symmetry Concept. In: Williams, K., Ostwald, M. (eds) Architecture and Mathematics from Antiquity to the Future. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-00137-1_40
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