
Euler's rotation theorem
Euler's rotation theorem states that any rotation of a rigid object in three-dimensional space can be described as a single rotation around some fixed axis. Imagine turning a object around a specific line — no matter how complex the motion, it can always be simplified to one turn around an appropriate axis. This principle helps in understanding and calculating rotations in fields like robotics, aerospace, and computer graphics, providing a fundamental way to analyze how objects move and orient themselves in space.