Dynamic § 3h_four Fractal Art Screensaver

§ 3h_four - 3h_four is a homotopy of relaxed Newton transformations. A Newton transformation is the iteration of Newton's method for finding the roots of polynomials.
    Each of the different color basins represents a different root. When "t" is adjusted (see Jul_m_mg) the roots tend to migrate, thus the program has to find the roots automatically before the basins are colored. This transformation is described pictorially in "The Beauty of Fractals" on page 123. The "relaxed" part of the above description is a complex parameter that is multiplied into the Newton transformations' denominator. To give the fractal some variety we have allowed the program to choose a few different values randomly. Inf and Index do not effect this fractal.

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