The graphics are impressive. Specifically, I've never seen someone fold a "bit surface" in half like that. I've also never seen a ladder view. Assuming Andrei Ciobanu himself posted this, how did you come up with those views? Bored on a Friday night?
I am not sure if this is all that original, I am sure what other have seen that before. For me it clicked when I was redoing the graphics.
What it's more interesting is that symmetry is specific to numbers in general, and the way we represent them. As an exercise if you use base 3, and plot more numbers you will also see hidden patterns.