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Rainbow Mandelbrot Set a*Z^-4

LEleszpio•Created February 18, 2022
Rainbow Mandelbrot Set a*Z^-4
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Instructions

Gren Flag Adjust the ax and ay sliders and hit the green flag a=ax+i*ay a=1 a=-1 a=1+i a=1-i a=-1-i a=-1+i a=-i a=i

Description

Z=x+iy Z=|Z|(cosα + i sinα) where |Z|=sqrt(x^2+y^2) α=arctg(y/x) To calculate the power of complex numbers, I used the de Moivre formula. Z^-4=(|Z|^-4)*(cos(-4*α) + i sin(-4*α))

Project Details

Project ID646678157
CreatedFebruary 18, 2022
Last ModifiedFebruary 18, 2022
SharedFebruary 18, 2022
Visibilityvisible
CommentsAllowed