Lakes of Wada

In mathematics, the lakes of Wada (和田の湖, Wada no mizuumi?) are three disjoint connected open sets of the plane with the counterintuitive property that they all have the same boundary.

More than two sets with the same boundary are said to have the Wada property; examples include Wada basins in dynamical systems.

The lakes of Wada were introduced by Kunizō Yoneyama (1917), who credited the discovery to his teacher Takeo Wada.

Read more about Lakes Of Wada:  Construction of The Lakes of Wada, Wada Basins

Famous quotes containing the word lakes:

    I walk toward one of our ponds; but what signifies the beauty of nature when men are base? We walk to lakes to see our serenity reflected in them; when we are not serene, we go not to them. Who can be serene in a country where both the rulers and the ruled are without principle? The remembrance of my country spoils my walk. My thoughts are murder to the State, and involuntarily go plotting against her.
    Henry David Thoreau (1817–1862)