==Construction of the lakes of Wada==The Lakes of Wada are formed by starting with a closed unit square of dry land, and then digging 3 lakes according to the following rule:*On day "n" = 1, 2, 3... extend lake "n" mod 3 (=0, 1, 2) so that it is open and connected and passes within a distance 1/"n" of all remaining dry land.