I have played this video again and again, trying to figure out what's going on here. I can't. My brain is fried. Yoshimoto Cube has fried my brain and it's not even 2009 yet.
According to the description, the Yoshimoto Cube transforms into two stellated rhombic dodecahedrons. Which is a fancy way to say "the Yoshimoto Cube transforms your brain into pineapple jelly". [Reddit]