tengelyszög

A tengelyszög, or axis angle, is a way to represent the rotation of a rigid body in three-dimensional space. It is defined by two components: a unit vector representing the axis of rotation and a scalar value representing the angle of rotation around that axis. Imagine a line passing through the center of an object. This line is the axis of rotation. The tengelyszög specifies how much the object spins around this line and in what direction.

The unit vector indicates the direction of the axis. For example, if the axis of rotation is along the z-axis, the unit vector would be (0, 0, 1). The angle of rotation is typically measured in radians or degrees. A positive angle usually indicates a counter-clockwise rotation when viewed from the positive direction of the axis, while a negative angle indicates a clockwise rotation.

The tengelyszög representation is often used in computer graphics, robotics, and physics to describe the orientation and motion of objects. It offers an intuitive way to understand rotations compared to other methods like Euler angles, which can suffer from gimbal lock. The conversion between tengelyszög and other rotation representations, such as rotation matrices or quaternions, is a common operation in these fields. This compact representation is efficient for storing and manipulating rotational data.