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Euler angles of rotation about x=y=z

  1. Dec 27, 2009 #1
    What would be the euler angles of rotation 2pi/3 about the line x=y=z? If something were in the xy plane and it underwent that rotation, would it end up in the yz plane?
  2. jcsd
  3. Jan 1, 2010 #2
    I am not totally sure about this but as a starting point you could consider the rotation matrix with Euler angles [tex]R_{\alpha,\beta,\gamma}[/tex], and a transformation matrix [tex]Q[/tex] which rotates around the axis x=y=z of [tex]2\pi / 3[/tex] radians. Then for any vector [tex]v \in \mathcal{R}^3[/tex], you essentially want to solve for [tex]\alpha,\beta,\gamma[/tex] the following system:


    Also, try to take a look here: http://en.wikipedia.org/wiki/Conversion_between_quaternions_and_Euler_angles because you might already find the solution you were looking for. I suspect you are essentially looking for a conversion from quaternion representation to Euler angles.
    Hope it helped.
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