One-dimensional Symmetry Group - Patterns Without Translational Symmetry

Patterns Without Translational Symmetry

For a pattern without translational symmetry there are the following possibilities (1D point groups):

  • the symmetry group is the trivial group (no symmetry)
  • the symmetry group is one of the groups each consisting of the identity and reflection in a point (isomorphic toC2)

Read more about this topic:  One-dimensional Symmetry Group

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