Re: Complex roots

On 3/20/2025 9:45 AM, Richard Hachel wrote:

The goal is to completely do without Argand geometry (which is strictly useless in Cartesian planes). Here, we have a curve f(x), which gives us a real root x=1,
since f(x)=(x-1)²(x²+4), but also two complex roots, which are no longer systematically x'=2i and x"=-2i.
 This is very strange and worthy of interest.

[...]
Just wondering, have you ever created a Newton fractal before? That tries to converge on the zeros? You can color them in interesting ways. Fwiw, here is an older one of mine:
https://youtu.be/46zdrb6sBj8
Well, it was a tweaked experiment of mine... :^)