Newton's Basin  From Math Images  Revision as of 15:14, 10 July
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Newton's Basin Fields: Fractals and Calculus Image Created By:
Ashley T. Website: Fractal Foundation  Newton's Basin  Newton's
Basin is a visual representation of Newton's Method, which is a
procedure for estimating the root of a function.   Basic
Description  Animation Emphasizing Roots Animation Emphasizing
Roots  This image is one of many examples of Newton's Basin or
Newton's Fractal. Newton's Basin is based on a calculus
technique called Newton's Method, a procedure Newton developed
to estimate roots (or solutions) of equations.  Each pixel in a
Newton's Basin corresponds to a unique coordinate, or point. The
colors in a Newton's Basin usually correspond to each individual
root of the equation, and can be used to infer where each root
is located. Each color region reflects the set of points, which,
after undergoing iteration with the equation describing the
fractal, will eventual