Click on this picture to see a movie of two squares
rotating in four dimensions.
These squares are opposite faces of
a cube.
Click on this picture to see a movie of a cube
rotating in four dimensions.
The cube extends in the x direction, but
not in the w direction, so the cube looks like a
segment in the x,w plane.
The cube looks like it is turning inside out, as it rotates. This demonstrates how a rigid 3d object can be transformed into its mirror image by moving it through four dimensional space.
Olaf Holt 3/14/94