Lattice structures underpin much of modern materials science, providing a fundamental framework to understand the arrangement of atoms, electrons, or quasi-particles in a variety of physical systems.

The toughness, ductility, and wear resistance of metallic alloys are dictated by the phases present in their microstructure and how these phases are distributed. During heat treatments such as ...

Phase changes -- Stability and instability -- Bifurcations and catastrophes -- Percolation -- Random graphs -- Life origins -- Virus dynamics -- Cell structure ...