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 words lakes of and/or lakes:

    White Pond and Walden are great crystals on the surface of the earth, Lakes of Light.... They are too pure to have a market value; they contain no muck. How much more beautiful than our lives, how much more transparent than our characters are they! We never learned meanness of them.
    Henry David Thoreau (1817–1862)

    The Indian navigator naturally distinguishes by a name those parts of a stream where he has encountered quick water and forks, and again, the lakes and smooth water where he can rest his weary arms, since those are the most interesting and more arable parts to him.
    Henry David Thoreau (1817–1862)