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Julia set facts for kids

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Julia set (ice)
A Julia set

A Julia set is a fractal. It is a set defined given a rational function (written J(f)). The Fatou set of a rational function (F(f)) is the complementary set of the Julia set of f. The Fatou set of a function are the values such that all nearby values behave similarly when the function is repeatedly iterated.

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Images for kids

  • Julia-set N z3-1

    Julia set (in white) for the rational function associated to Newton's method for f : z → z3−1. Coloring of Fatou set in red, green and blue tones according to the three attractors (the three roots of f).

  • Juliasetsdkfieldlines4

    Pictures in the field lines for an iteration of the form z^2 + c

  • Reversed Julia set C = ( 0.4 0.3 )

    A Julia set plot, generated using random IIM

  • Miimcr

    A Julia set plot, generated using MIIM

See also

Kids robot.svg In Spanish: Conjunto de Julia para niños

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Julia set Facts for Kids. Kiddle Encyclopedia.