Quasicrystals and Geometry

Quasicrystals are a unique class of materials that exhibit a form of order that is not periodic, distinguishing them from traditional crystalline structures. While conventional crystals have a repeating unit cell that creates a periodic lattice, quasicrystals possess an ordered structure that lacks translational symmetry, meaning they do not repeat at regular intervals. This results in a variety of complex shapes and patterns that can be difficult to visualize and comprehend.