What are Quasicrystals? PPT Presentation Quasi-Unit Cell Paradigm for the Structure of Quasicrystals: an introduction How to construct a quasicrystal from a single repeating unit and comparison with data Archival Papers: Quasicrystals: A New Class of Ordered Structures (1984) (Introduced concept of Quasicrystals) Further elaboration: Quasicrystals I: Definition and Structure (1986) Quasicrystals II: Unit Cell Configurations (1986) How to construct quasicrystal tilings with arbitrary symmetry (1985) Elasticity theory: Elasticity theory of quasicrystals (1985) Phonons, phasons and defects in quasicrystals (1986) Can perfect quasicrystals be grown if interatomic interactions are short-range? For 2D, see: Growing perfect Penrose tilings (1988) (G. Onoda et al.) For 3D, solved 25 years later: Growing perfect icosahedral quasicrystals (2016) (Hann et al.) Quasicrystals from a single repeating unit & maximizing density Constructing Penrose tilings from a single prototile (1997) To learn about the search for natural quasicrystals, see website section on Natural Quasicrystals and Steinhardtite