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