The figure here depicts one of the six Platonic polyhedra of four dimensions.
The two dimensions of the image are two of the four dimensions of the polyhedron.
The other two dimensions of the figure control the color.
Clicking in one of the 16 small squares below the image rotates the
polyhedron in four dimensions. Each square chooses a different pair
of axses. Click on the "Bang" button to get two resizable images
of the figure, and a remote control. These two images are projections
into orthogonal planes in four space. This kind of orthoganality is
peculiar to four dimensions. The Beta image uses the same coordinates
to control color and location in the image.
Much of the information to do this program came from H.S.M. Coxeter's
"Regular Polytopes" published by Macmillian.
Java Source: R4, p600,