Abstract: Liquid cell crystal, with fine structures made up of regions having defined different orientation and dimensions of the order of 0.1 to about 100 &mgr;m can be used as optical conductors and projection displays. The fine structures in the liquid crystals are produced in that the plates bounding and guiding the liquid crystal are provided with micromechanically produced regions having different defined preferred directions. The result is a molecular orientation having a higher refractive index that the surrounding region for guiding and polarizing irradiated light. The orienting layers on the plates bounding the liquid crystal are micromechanically structured in that certain spatial regions are mechanically structured in a uniform direction by a stylus moved by piezoelectric means.