primitive lattice

A primitive lattice is a concept in mathematics that relates to how points are arranged in a regular, grid-like pattern within space. Imagine a collection of evenly spaced points extending infinitely in all directions, where the smallest building blocks—called basis vectors—can generate all the other points through combinations. If these basis vectors can't be simplified further (e.g., scaled down to smaller integer values), the lattice is considered primitive. Essentially, a primitive lattice can be seen as the most fundamental, unscaled grid from which all other points can be derived, serving as a foundational structure in geometry and number theory.