1999Shenyang Gongye Daxue xuebaoRequires access

Mandelbrot set and julia sets generated by complex iteration z→■~2+c

Yan De

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Abstract

The Mandelbrot set and Julia sets generated by are studied. The Mandelbrot set is symmetrical by reflection in the real axis, and 3 - way rotatiomally symmetric. And it is painted with the escape- time methods and the periodic scanning algorithm, which is a better understanding of the structure of the Mandelbrot set. The method of studing the Mandelbrot set and Julia sets generated by non-analytic complex iteration is put forward.

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What this paper is about

The Mandelbrot set and Julia sets generated by are studied. The Mandelbrot set is symmetrical by reflection in the real axis, and 3 - way rotatiomally symmetric. And it is painted with the escape- time methods and the periodic scanning algorithm, which is a better understanding of the structure of the Mandelbrot set. The method of studing the Mandelbrot set and Julia sets generated by non-analytic complex iteration is put forward.

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Available abstract

The Mandelbrot set and Julia sets generated by are studied. The Mandelbrot set is symmetrical by reflection in the real axis, and 3 - way rotatiomally symmetric. And it is painted with the escape- time methods and the periodic scanning algorithm, which is a better understanding of the structure of the Mandelbrot set. The method of studing the Mandelbrot set and Julia sets generated by non-analytic complex iteration is put forward.

Key concepts: Mandelbrot set, Julia set, Complex quadratic polynomial, Newton fractal, Set (abstract data type), Mathematics, Discrete mathematics, Algorithm

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