Point Groups in Three Dimensions - Impossible Discrete Symmetries

Impossible Discrete Symmetries

Since the overview is exhaustive, it also shows implicitly what is not possible as discrete symmetry group. For example:

  • a C6 axis in one direction and a C3 in another
  • a C5 axis in one direction and a C4 in another
  • a C3 axis in one direction and another C3 axis in a perpendicular direction

etc.

Read more about this topic:  Point Groups In Three Dimensions

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