For example, let G = Sym(X) be the finite symmetry group of a figure X in a Euclidean space, and let H ⊂ G be a subgroup. Then H can be interpreted as the symmetry group of X, a "decorated" version of X. Such a decoration may be constructed as follows. Add some patterns such as arrows or colors to X so as to break all symmetry, obtaining a figure X with Sym(X) = {1}, the trivial subgroup; that is, gX ≠ X for all non-trivial g ∈ G. Now we get: