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We study sets of triple points of B\"{o}r\"{o}czky's arrangements of lines inthe context of the containment problem proposed by Harbourne and Huneke. Weshow that in the class of those arrangements, the smallest counterexample tothe containment $I^{(3)} \subseteq I^2$ is obtained when the number of lines isequal to 12.

On the containment $I^{(3)} \subseteq I^2$ and configurations of triple points in B\"{o}r\"{o}czky line arrangements