Rotation Group

A rotation group is a mathematical concept that describes all possible ways an object can be rotated around a fixed point or axis without changing its overall shape or size. Think of a spinning globe: it can rotate 360 degrees in any direction, and it still looks the same. The rotation group gathers all these possible rotations into a structured system, allowing mathematicians to study symmetries and properties of objects in space. It’s fundamental in fields like physics, engineering, and computer graphics for analyzing and manipulating objects through rotations.