MatLab used for programming it

You are incorrect. This manifold was created by using parametrization of all 4 dimensions. If you take a closer look, you will see that it's continous. But you can think that there are two independent planes because in projection this manifold is self-intersecting. By the way if you are interesting in this, i could share a MatLab scrip. Just write me: art.sulim2013@gmail.com

I tried to make a 4D analogue of catenoid surface and rotate it in all six planes in 4-dimensional space. To visualize this manifold I used stereographic projection

This is a rotating 4d catenoid.

Это удивительный мир комплексных чисел

Вау😮

I tried to visualize the part of the Klein bottle surface using stereographic projection

In what program?

@@AlekseyIQOO MATLAB. If you need, I can share the code

@@arts5852 So you made this program yourself, and in what programming language? I myself studied programming a little but for now I put my studies on hold

@@AlekseyIQOO yes, I wrote this on MATLAB language. This code provides the opportunity to calculate each coordinate for 4D manifold and visualize it dynamically using stereo graphic projection. I can even change the parametrization of surface choosing different equations for parametrization. You can also see a couple of similar examples of visualization different surfaces on my channel. I used the same technique to do them

No. Just finite differences

@@arts5852 does this simulate the electric and magnetic fields separately or combined in the potential?

Because I'm interested in simulating the electromagnetic field as a whole for myself using the wave equation and some discrete method

@@cerealkeepsyougoingeveryda555 this program provides the opportunity to calculate magnetic field if you simulate the electric or vise versa. You can choose it manually. I can provide you a MATLAB Code if you need

@@cerealkeepsyougoingeveryda555 the base of this simulation is wave equation (for 2D obviously ) and Maxwell equations