1º_ It is the popularized generic version of Lucite® , a trademark of the chemical DuPont for its plexiglass or methacrylate (polymethylmethacrylate). [Note: the meaning provided by patricia may be a localism, because in Spanish the words ending in /z/ form the diminutive with the suffix '-ecito' (or '-ecita', for the feminine); with some usual exceptions for a few animal names. See little light ("small, low-intensity light"). ] 2º_ La Lucita is a town in the Mexican state of Colima.
