Higher dimensional polytopes are those of dimension four or higher. Four-dimensional polytopes in particular are called polychora.
Mark Newbold's Java Stuff
Java applets that show intersections, morphing, and stereoscopic renderings of four-dimensional polytopes and optical illusions.
Regular 4d Polytope Foldouts
Java applets to view the shapes by rotating them.
Some images, and the naming scheme with which the author has categorized over 8000 of these shapes.
Last update:November 19, 2012 at 9:15:05 UTC