  In the last two years we have witnessed the exciting experimental discovery
of soft matter with nontrivial quasiperiodic long-range order - a new form of
matter termed a soft quasicrystal. Two groups have independently discovered
such order in soft matter: Zeng et al. [Nature 428 (2004) 157] in a system of
dendrimer liquid crystals; and Takano et al. [J. Polym. Sci. Polym. Phys. 43
(2005) 2427] in a system of ABC star-shaped polymers. These newly discovered
soft quasicrystals not only provide exciting platforms for the fundamental
study of both quasicrystals and of soft matter, but also hold the promise for
new applications based on self-assembled nanomaterials with unique physical
properties that take advantage of the quasiperiodicity, such as complete and
isotropic photonic band-gap materials. Here we provide a concise review of the
emerging field of soft quasicrystals, suggesting that the existence of two
natural length-scales, along with 3-body interactions, may constitute the
underlying source of their stability.
