Mandelbrot set and julia sets generated by complex iteration z→■~2+c
Yan De
Abstract
Yan De
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.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
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