Simplified code for Newton's Fractical. More...

Detailed Description

Simplified code for Newton's Fractical.

Author: Mitch Richling https://www.mitchr.me

Standards: C++20

See also: https://www.mitchr.me/SS/newton/index.html#threeupdown

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Details

The standard Newton fractal is generated from \(f=z^2-1\). This function is continuous on the entire complex plain. What do we get if we add poles in imaginary axis mirror locations of the roots? i.e. for each root \(x+iy\) of \(f\), we add a pole at \(-x+iy\)? The corresponding function is:

\[f=\frac{z^3-1}{z^3+1}\]

Definition in file newton_3updown.cpp.