Indeed, that sense of rapid acceleration is what happens when observing a hyper-cube when it actually is a reorientation of the dimensions, e.g. hypercubes rotating.
I run a (relatively) antiquated version of OSX, in order to use the outdated and "orphan" "Canvas X", my graphics "workhorse" software.
Unfortunately, I don't have a programming language and compiler that runs on this OS, or I'd be tempted to write software like those animations. There are few things more fun -- or higher senses of achievement -- than learning a new programing language, then conceiving of something like those rotating hypercubes, and coding the whole thing up from scratch...
OTOH, with all my other projects, I couldn't afford the time, anyway. At the rate I'm progressing on it at present, my "Genesis: a Scientist Looks At the First Four Verses" graphics project may consume my entire 77th year... '-)
ACD Systems stopped developing Canvas for the Mac in 2005. Now, they are supposedly coming out with a new beta version of Canvas for the Mac sometime this year -- and I'm on their "beta test list". I can only hope...