Symmetry in Mathematics, Physics and Art
Jean Constant: Symmetry in Mathematics, Physics and Art. In: Bridges 2013. Pages 461–464
The mathematical concept of symmetry, invariance and equivalent relation allows physical sciences to define precisely the reality of matter. Crystallographic point groups classify crystals in terms of Euclidian geometry. Art itself is often defined in terms of beauty, balance, and harmony. The following describes how the 32 crystallographic point groups diagram was used in the electronic environment to produce an artistic outcome based on scientific rigor and to evaluate art relevance to the larger debate on symmetry and the perception of beauty.
 Hermann Weyl. Symmetry. Princeton University Press. 1952.
 Euclid. The Elements. Clay Mathematics Institute Historical Archive
 Jong-Ping Hsu, Yuan-Zhong Zhang. Lorentz And Poincaré Invariance. Advanced Series on Theoretical Physical Science. Vol.8. 2001.
 Leon M. Lederman, Christopher T. Hill. Symmetry and the Beautiful Universe. Prometheus Books 2008.
 Hon. Giyyôrâ; Goldstein, Bernard R. From Summetria to Symmetry: The Making of a Revolutionary Scientific Concept. Springer. 2008.
 Steve Dutch. The crystallographic point groups. University of Wisconsin - Green bay. 1997.
 32 crystallography point groups symmetries portfolio. hermay.org/jconstant/dcrystalsym/