Everything in math is fundamentally connected deep down. Peeking into complex number visualization brought me to Riemann Surface and Rieman Sphere.

What is Riemann surface?

Above are all Riemann surfaces. They live in our 3D real world.

Back to basics of how Rieman surface is derived and defined? isn’t Riemann surface of f(z) = z^1/2 z is complex number exact same as morbius strip?

Now we can ask GPT to do some real grinding work to plot Riemann surface