text: Discrete misorientations or the misorientation distribution can be fully described as plots in the Euler angle, axis/angle, or Rodrigues vector space.  Unit quaternions, while computationally convenient, do not lend themselves to graphical representation because of their four-dimensional nature.  For any of the representations, plots are usually constructed as sections through the fundamental zone; along φ in Euler angles, at increments of rotation angle for axis/angle, and at constant ρ (parallel to <001>) for Rodrigues.   Due to the irregular shape of the cubic-cubic FZ, the plots are typically given as sections through the cubic FZ with the more restrictive boundaries overlaid.<br />
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  Mackenzie plots are a one-dimensional representation of the MD plotting the relative frequency of the misorientation angle, irrespective of the axis.  Mackenzie determined the misorientation distribution for a cubic sample with a random texture.