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Generating Julia Sets

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This Demonstration graphs quadratic Julia sets, which consist of the points in the complex plane whose modulus remains bounded under iteration of the map . Different values of the complex number yield different Julia sets.

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The finest resolution image takes longest to plot. The number of iterations also affects the image and calculation time; the greater the iterations, the more detailed the image, but the longer it will take to calculate. 500 is a good number for disconnected sets, while 50 to 100 is usually best for connected sets.

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Contributed by: Alijah Travascio-Green (January 2014)
Open content licensed under CC BY-NC-SA

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