Mark Wyner Won’t Comply 
These cubes aren’t moving or changing (as implied by the arrows). At all. Not even a little. Other than the color toggle, they remain constant.
(Credit: Ja Gari Kin)
EDIT: added content warning because of the flashing.
I love all of the investigative analyses here. That’s part of the magic of these illusions; they give our brains a workout.
However, these cubes are indeed not changing. At least in the way the illusion implies. Yes, the line colors slightly shift. But the cubes are not twisting or changing position.
I’ve captured the 1st/last frames of two of the animations. You can see that while the lines shift a little, they’re not “changing” how the arrows suggest.
