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A one-dimensional symmetry group is a mathematical group that describes symmetries in one dimension (1D).

A pattern in 1D can be represented as a function f(x) for, say, the color at position x.

The only nontrivial point group in 1D is a simple reflection. It can be represented by the simplest Coxeter group, A₁, [ ], or Coxeter-Dynkin diagram

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