Rotation of a cube
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.
This picture is often a little more
difficult to digest at first glance than the
previous images, so you may want to take
a look at the squares again if it doesn't
make sense.
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.
Rotation of a tesseract
Olaf Holt 3/14/94