#lakes_of_wada
Lakes of Wada
Three disjoint sets that share a common boundary
In mathematics, the lakes of Wada are three disjoint connected open sets of the plane or open unit square with the counterintuitive property that they all have the same boundary. In other words, for any point selected on the boundary of one of the lakes, the other two lakes' boundaries also contain that point.
Thu 1st
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