This shows a "platonic solid" in 4 dimensions. It is called the 120-cell, and is one of the 6 regular polytopes there are in 4 dimensions. The object is rotated in 4 dimensional space and then projected into our familiar 3 space. You see that its faces are are octahedra. The color encodes the 4th dimension. The background music is from "Prima Gioventu" by Ennio Morricone.