What are Quasicrystals?
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
Quasicrystals: A New Class of Ordered Structures (1984)
(Introduced concept of Quasicrystals)
Quasicrystals I: Definition and Structure (1986)
Quasicrystals II: Unit Cell Configurations (1986)
How to construct quasicrystal tilings with arbitrary symmetry (1985)
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