Quaternions: The Four-Dimensional Numbers That Power 3D Rotations

Quaternions are a special type of number system that extends <a href="/article/complex-numbers">complex numbers</a>, using four components instead of two. They are incredibly powerful for describing rotations in three-dimensional space, making them essential in fields like computer graphics, robotics, and aerospace engineering. Unlike regular multiplication, the order in which you multiply quaternions matters, a property called non-commutativity.