
Lattice
A lattice is a structured, grid-like pattern made up of points, lines, or shapes that repeat regularly in space. Think of it like a network or framework where each point is connected in an orderly way, forming a consistent pattern across a surface or volume. Lattices are fundamental in mathematics and physics, as they describe arrangements of atoms in crystals, or solutions to problems involving symmetry and periodicity. They help us understand structures both in nature and in engineered materials by providing a systematic way to analyze repetitive, organized patterns.