Thank you Joseph for your reply. I have determined that the problem is when I stream full screen from various TV websites. The four I use are CBC and Knowledge Network (Canada) and NPO and RTL (Netherlands) and it happens with all of them. I never download anything to watch later so can't answer to that. I have checked youtube and determined that it doesn't happen there, even in full screen.
Restarting my Mac does not solve the issue and I'm not able to connect to any other wifi as I'm in Egypt and only have the wifi access available to the whole building.
One thing I've realized me is that when I take the pointer all the way to the top and the menu bar drops down, if I leave the pointer there, the screen image remains stable. As soon as I move the pointer elsewhere, the image splits and slants again. This issue is new since I upgraded to Big Sur. Is there perhaps simply a setting I have to change somewhere?