Eulerrotációk

Eulerrotációk, also known as Euler rotations, are a set of three successive rotations that describe the orientation of a rigid body in three-dimensional space. They are named after the mathematician Leonhard Euler. Each rotation is performed around a different axis of a fixed coordinate system or a body-fixed coordinate system. The most common convention uses the z-axis, then the new y-axis, and finally the new z-axis, denoted as ZYZ Euler angles. However, other sequences like ZXZ, XYX, or YZY are also possible.

The purpose of Euler rotations is to decompose any arbitrary orientation into a series of simpler rotations. This is particularly useful in fields such as physics, engineering, and computer graphics for representing and manipulating the attitude of objects. While effective, Euler rotations can suffer from the "gimbal lock" phenomenon, where two of the rotation axes become aligned, resulting in a loss of one degree of rotational freedom and making it impossible to represent certain orientations uniquely. Alternatives like quaternions are often used to avoid this issue.