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    Julia Set

    Input values

    Re(c) | -0.5 Im(c) | 0

    Plot

    Iteration rule

    z_(n + 1) = z_n^2 + c | z_0 = z (the Julia set is the boundary of the set of z element C for which the orbit of z_n is bounded)

    Topological property

    Julia set is connected

    Property of c

    c = -0.5 + 0 i is in the Mandelbrot set

    Position of c relative to the Mandelbrot set