Wada Basin

A basin of attraction in which every point on the common boundary of that basin and another basin is also a boundary of a third basin. In other words, no matter how closely a boundary point is zoomed into, all three basins appear in the picture.

This fractal effect can be seen when four mirrored spheres touch (Sweet et al. 1999).

See also

Apollonian Gasket, Basin of Attraction, Strange Attractor, Tangent Spheres

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Nusse, H. E. and Yorke, J. A. "Basins of Attraction." Science 271, 1376-1380, 1996.Poon, L.; Campos, J.; Ott, E.; and Grebogi, C. "Wada Basin Boundaries in Chaotic Scattering." Int. J. Bifur. Chaos 6, 251-265, 1996.Sweet, D. "Photographs of Wada Basins.", D.; Ott, E.; and Yorke, J. A. "Complex Topology in Chaotic Scattering." Nature 399, 315, 1999.

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Wada Basin

Cite this as:

Weisstein, Eric W. "Wada Basin." From MathWorld--A Wolfram Web Resource.

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