Hexaract
This is a "hexaract" - a six-dimensional cube. I slowed it down and didn't rotate in all 15 possible planes. Rotations occur in these six planes: xy, xz, yz, xw, yv, and zu. I thought it made it less confusing that way.
Soon, I'll put up a progression from a zero-dimensional point all the way up to this figure through each of the dimensions.
Done especially for my good friend jcz1996.