Biquaternions

Biquaternions are an extension of quaternions, which are mathematical objects used to represent rotations in 3D space. While quaternions consist of one real part and three imaginary parts, biquaternions incorporate complex numbers, making their components complex rather than just real. This allows biquaternions to handle more advanced transformations, such as those involving space and time in physics. They are useful in computer graphics, signal processing, and theoretical physics for representing rotations, boosts, and other complex transformations efficiently. Essentially, biquaternions provide a powerful, compact way to handle multi-dimensional transformations in a unified mathematical framework.