There are two Java-based interactive versions of the hypercube available
here. Each of them requires you to have a Java-capable browser, and to have
Java enabled. See the documentation for your browser to see how to enable
Java.
Interactive applets and instructions for them are available for:
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This applet shows the hypercube rotating through the fourth
dimension. The rotation is continuous, and you can change the
plane in which the rotation occurs.
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This demonstration uses a parametric-graphics applet developed at Brown
University. The applet lets you move through four-space
by adjusting angles of rotation in two different planes. This
hypercube is actually a coarse parameterization of a torus on the
three-sphere in four-space; you can increasse the number of facets used
and thereby make the torus smoother.
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