Lol I didn't quite get my math right, but it still involves imaginary numbers. Fun fact! Any 3D game you've played in the past probably quarter century doesn't just use 1 dimension of imaginary numbers, but 3 to represent 3D rotation! Quaternions are difficult to visualize since it's a 4-dimensional quantity but they're perfect for representing rotation in 3D space without suffering from gimbal lock like rotation matrices.