Lambert W function

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Offline superheal

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« on: September 10, 2018, 07:00:06 PM »
Hi,

as I was exploring the solutions of the Lambert function (z*e^z = c), I used newton's method to visualize them.
z = z - (z*e^z - c) / ((z + 1)*e^z)
It produced some nice images but then I started playing with the original function.

I tested z*e^(z^2) = c,
z = z - (z*e^(z^2) - c) / ((e^(z^2)) * (2*z^2 + 1))

and voila, I got some mandel minis too!


 

Offline v

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« Reply #1 on: October 31, 2018, 02:55:40 AM »
really nice fractal and idea, amazing to see a minibrot in the newton fractal style pattern.  are you using escape time for rendering the fractals with the e^z and e^z^2 terms?


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