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Julia set

Fatou sets in Julia (Fractals, Newton basins, Mandelbrot)

Web application using JavaScript, HTML, and CSS for visualizing fractal structures and their theoretical properties using various methods and algorithms, developed as part of a master's thesis on the topic of Complex Dynamical Systems.

Web application available here

Web application using JavaScript, HTML, and CSS for visualizing Julia sets and their theoretical properties by various methods, developed as part of a bachelor's thesis in the field of dynamical systems and complex analysis.

Web application available here

Revelations 1: A simple question about Newton's method with an unbelievably weird answer

What happens when we make a color-coded scatter plot of which zero a point converges to under Newton's method?

Imploded cauliflower - is a Julia set for c=1/4+epsilon with epsilon >0.

How many different ways are there to show such set ?

Compute external ray on the dynamic plane ( Julia set) using backward iteration. Based on the code by Wolf Jung from program Mandel : http://www.mndynamics.com/

how to show sepals inside main box of parabolic chessboard ?

compute full orbit ( forward and backward of every point) for each whole orbit compute maximal distance from orbit to fixed point alfa normalize distance ( dustance/ dist