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Volume 35, Number 3, pages 385-388 (2024)
https://doi.org/10.26830/symmetry_2024_3_385
SYMMETRY – WHAT IS IT?
Daniela Velichová
Slovak University of Technology in Bratislava, Námestie slobody 17, 812 31 Bratislava, Slovakia.
Email: daniela.velichova@stuba.sk
Abstract: Symmetry is a general concept with slightly different meaning as used in different sciences. Symmetry in nature underlies one of the most fundamental concepts of beauty. It connotes balance, order, and thus, to some extent, a type of divine principle. Valid symmetry operations are those that can be performed without changing the appearance of an object. The number, type and variety of such operations depend on the geometry of the object to which the operations are applied (Dijkgraaf, 2017). Generally, two cases occur while investigating symmetry (Gáliková, 2023). Some interesting applications of the concept of symmetry are leading to the elegant solutions of various difficult fundamental problems (Livio, 2006; Perutz, 2019).
References:
Britannica, The Editors of Encyclopaedia. "symmetry". Encyclopedia Britannica, https://www.britannica.com/topic/symmetry-definition. (Accessed 9 May 2023).
Dijkgraaf, R. (2017) The Power of Mirror Symmetry, Institute for Advanced Study, 2017. https://www.ias.edu/ideas/power-mirror-symmetry. (Accessed 8 August 2023).
Gáliková, V. (2023) Symmetry, beauty and benefit, G - Slovak Journal for Geometry and Graphics, SSGG, 40, 20, 5-18.
Livio, M. (2006) The Equation That Couldn't Be Solved: How Mathematical Genius Discovered the Language of Symmetry. Souvenir Press 2006, ISBN 0-285-63743-6.
Tymoczko, D. (2006) The Geometry of Musical Chords, Science, 313, 5783, 72-74. https://doi.org/10.1126/science.1126287
Perutz T. (2019) The Mirror´s Magic Sights: An Update on Mirror Symmety, Notices of the American Mathematical Society, 2019. https://doi.org/10.1090/noti1854
Weyl, H. (1952) Symmetry. Princeton: Princeton University Press, 1952, ISBN 0-691-02374-3. https://doi.org/10.1515/9781400874347
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