A way of representing the orientation of a body in 3d space, using 3 angles. Each angle is rotation about one of the coordinate axes. The orientation is equivalent to performing each rotation in succession. The order absolutely matters.

  • Has an issue called Gimbal Lock
  • Has issues with interpolation between angles

Conventional Orders of Rotation

Tait-Bryan

  • The aerospace convention
  • Z, Y, X
  • Yaw, Pitch, Roll

Proper Euler

  • The physics convention
  • Z, X, Z