input: How do quaternions differ from complex numbers and what are their applications in computer graphics?

answers: Quaternions are four-dimensional numbers consisting of a scalar part and a three-dimensional vector part, making them different from two-dimensional complex numbers. They are used in computer graphics for efficiently representing rotations in three dimensions, which is crucial for animating objects in 3D space without the issues of gimbal lock.

label: mathematics

title: The Magic of Mathematics