Configuration Spaces

A configuration space is a mathematical way to represent all the possible positions or arrangements of a system's components. Imagine tracking every possible location of multiple objects or parts together—this collection of all those possibilities forms the configuration space. It's useful in physics, robotics, and computer science to analyze how systems move or change state, considering constraints and interactions. Essentially, it provides a comprehensive map of all potential configurations, helping scientists and engineers understand the full range of system behaviors and plan movements or optimize designs accordingly.