Perfect Shapes in Higher Dimensions: https://www.youtube.com/watch?v=2s4TqVAbfz4
In any case, that video is part of the excellent longer film "Outside In" made at the Geometry Center in the 90s:
http://www.geom.uiuc.edu/docs/outreach/oi/
Perfect Shapes in Higher Dimensions: https://www.youtube.com/watch?v=2s4TqVAbfz4