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)
“Such were the first rude beginnings of a town. They spoke of the practicability of a winter road to the Moosehead Carry, which would not cost much, and would connect them with steam and staging and all the busy world. I almost doubted if the lake would be there,—the self-same lake,—preserve its form and identity, when the shores should be cleared and settled; as if these lakes and streams which explorers report never awaited the advent of the citizen.”
—Henry David Thoreau (1817–1862)