Symmetry in Mathematics, Physics and Art

Jean Constant
Proceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture (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.