Rotacions

Rotacions refers to the act or process of turning something around a fixed point or axis. In mathematics, it is a transformation that moves every point in a figure by the same angle and in the same direction around a central point. Rotations are a type of isometry, meaning they preserve distances and angles. They are a fundamental concept in geometry and are used in various fields, including physics, engineering, and computer graphics.

In physics, rotations are crucial for understanding circular motion, angular momentum, and torque. For example, the rotation of a planet around its axis or the rotation of a wheel are common physical phenomena described by rotational dynamics. The degree of rotation is typically measured in degrees or radians, with a full circle being 360 degrees or 2π radians.

In computer graphics, rotations are used to orient objects in three-dimensional space. They are essential for creating realistic animations, virtual reality environments, and visual effects. Algorithms for performing rotations often involve matrix transformations, allowing for efficient manipulation of geometric data. The direction of rotation can be clockwise or counterclockwise, which is usually indicated by a sign convention. The center of rotation, also known as the pivot point, is a critical parameter that defines the location around which the rotation occurs.