Quaternion Definition

noun
  • mathematics
    a four-dimension number system that is used for rotations in 3d space.

Explanation

Quaternions are a four-dimension number system that can be used to elegantly represent rotations in three-dimensional space. They are an extension of complex numbers that can be expressed as , where are real numbers and are the fundamental quaternion units which satisfy .

Good Links

  1. Implementing Quaternions | The Math behind 3D Rotations
  2. How Quaternions (4d numbers) visualize 3d space