J

Julia set

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