Steiner System

A Steiner system is a mathematical way to organize and group elements so that certain combinations appear exactly once. Imagine having a set of items, like points, and creating subsets, or blocks, that follow specific rules: for example, every pair of points appears together in exactly one block. This precise arrangement ensures efficient and balanced coverage, often used in design, coding, and combinatorial optimization. Essentially, Steiner systems help systematically cover all possible pairings or groupings with minimal redundancy, making them a powerful tool in mathematical and practical problem-solving.