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Is it an invariance under rotations around x-, y-, z-axis? Does this invariance separately include rotations around an arbitrary $(x$, $y$, $z)$ axis?

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    So, if I understood you correctly, it's mean, that some tensor for a solid body with cubic symmetry is invariant under rotations around x-, y-, and z-axis. So, it's also invariant under total rotation?2012-12-19

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The cubic symmetry group is the group of operations which leave a cube invariant. They are generated by rotations around the $x$, $y$, $z$ axis by $\pi/2$.

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    I was asking because I was wondering if "cubic symmetry group" was a standard term for some people. To me it's really just "look at that thing and get a group out of it", so it doesn't feel like reflexions have any reason to be/not to be there... but whatever. =)2012-12-18