For any fixed finite planar point set S there exist n-point sets containing Ω_S(n^{1+δ_S}) congruent copies of S with δ_S>0 explicit.
On sets of distances of
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Congruent copies of finite patterns in planar point sets
For any fixed finite planar point set S there exist n-point sets containing Ω_S(n^{1+δ_S}) congruent copies of S with δ_S>0 explicit.