The aim of the paper is to emphasize the importance of mathematics for understanding of physical phenomena. Vibrations of smectic films and facetting of cubic liquid crystals are the two topics of the liquid crystal physics used as examples. The case of facetting of the Pn3m cubic phase is illustrated by new observations.
"Physics, mathematics and liquid crystals", Proc. SPIE 4759, XIV Conference on Liquid Crystals: Chemistry, Physics, and Applications, (27 June 2002); doi: 10.1117/12.472149; https://doi.org/10.1117/12.472149