Tesseract

An animation from 1998 for Mathematik.com:
written in Povray. It was now rerendered in a larger resolution. The cube consists of points (a,b,c,d), with a,b,c,d in {-1,1}. These are the 16 vertices. Now connect two if their distance is 2. The rotation is
    |Cos[phi]    Sin[phi]    0           0 |
    |-Sin[phi]   Cos[phi]    0           0 |
    |  0           0         1           0 |
    |  0           0         0           1 |
The points are then stereographically projected into three dimensional space. About 10 years ago, in 2009, the following movie was done:
Science Center, Hall E