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Butterfly Function

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ButterflyFunction

The fractal-like two-dimensional function

f(x,y)=((x^2-y^2)sin((x+y)/a))/(x^2+y^2).

The function is named for the appearance of a butterfly-like pattern centered around the origin (left figure). In the above illustration, the left plot runs from -5 to 5 and the right plot runs from -20 to 20.

See also

Butterfly Catastrophe, Butterfly Curve, Butterfly Effect, Butterfly Graph, Butterfly Lemma, Butterfly Polyiamond, Butterfly Theorem, Swirl

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Cite this as:

Weisstein, Eric W. "Butterfly Function." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/ButterflyFunction.html

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