This document summarizes a seminar on quasicrystals. It begins with an introduction distinguishing crystals and amorphous solids. It then discusses the discovery of quasicrystals by Dan Shechtman in 1984 in an alloy exhibiting forbidden 5-fold symmetry. Quasicrystals have long-range atomic order like crystals but lack 3D translational symmetry. They exhibit properties intermediate between crystals and amorphous solids. Methods to prepare quasicrystals include rapid solidification. Potential applications include non-stick coatings, surgical instruments, and hydrogen storage.