Since the discovery of the liquid‐crystalline state of matter 125 years ago, this field has
developed into a scientific area with many facets. This Review presents recent …

Two decades after the first publication on quasicrystals in aluminum manganese alloys by
Shechtman et al., a “soft quasicrystal” was found in nature. Since then a number of materials …

The first edition of this book was published by Scienec Press, Bei**g/Springer-Verlag,
Heidelberg, in 2010 mainly concerning a mathematical theory of elasticity of solid …

Quasicrystals are intriguing structures that have long-range positional correlations but no
periodicity in real space, and typically with rotational symmetries that are 'forbidden'in …

Over the past decade, quasicrystalline order has been observed in many soft-matter
systems: in dendritic micelles, in star and tetrablock terpolymer melts and in diblock …

The recognition of quasicrystals, which exhibit long-range order but lack translational
symmetry, represented both the introduction of a new class of materials and a transformative …

Colloidal self-assembly—the spontaneous organization of colloids into ordered structures—
has been considered key to produce next-generation materials. However, the present-day …

Quasi-crystals are aperiodic structures with crystallographic properties that are not
compatible with that of a single unit cell. Their discovery in a metallic alloy more than four …

Because of their aperiodic nature, quasicrystals are one of the least understood phases in
statistical physics. One significant complication they present in comparison to their periodic …

The surprising recent discoveries of quasicrystals and their approximants in soft-matter
systems poses the intriguing possibility that these structures can be realized in a broad …