2007Wolfram Demonstrations ProjectOpen access

Julia Sets and the Mandelbrot Set

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Abstract

Each Julia set on the right corresponds to a quadratic polynomial of the form . You can use the locator to choose the complex number from the picture of the Mandelbrot set on the left. The Julia set will be a connected set precisely when lies in the Mandelbrot set.;;

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Each Julia set on the right corresponds to a quadratic polynomial of the form . You can use the locator to choose the complex number from the picture of the Mandelbrot set on the left. The Julia set will be a connected set precisely when lies in the Mandelbrot set.;;

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Available abstract

Each Julia set on the right corresponds to a quadratic polynomial of the form . You can use the locator to choose the complex number from the picture of the Mandelbrot set on the left. The Julia set will be a connected set precisely when lies in the Mandelbrot set.;;

Key concepts: Mandelbrot set, Julia set, Newton fractal, Complex quadratic polynomial, Set (abstract data type), Mathematics, Quadratic equation, Polynomial

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