I already know from my experience by trying some
fractal making applications that it takes
exponentially longer time to calculate deeper
than 10^15 times as the number of the digits of
coordinates of the points increases(while those
deep-zooms claim to zoom 10^227 times).
https://www.youtu.bePD2XgQOyCCk
I guess videos could be manipulated by magnifying
a fractal image from a central point in the
current frame of the video and with each zooming
step, pretend that it is the actual fractal image
coming out of the pixel(although i am not sure if
the can do so, still keeping the image as the
true Mandelbrot fractal would be by some
mathematical tricks); While the zooming direction
goes straight and if it was sellected by human at
each zooming level "where to zoom at", it could
not be straight and it also needed to be found
mathematically where to zoom before rendering the
video.