Rotating a Hypercube in 4D

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This Demonstration gives a variety of animated rotations of a hypercube in 4D projected to 3D. The axis (set of fixed points) in a 4D rotation is a plane. As a simple example, stop the animation and set all the angles to zero. Drag the first slider; this rotates the hypercube without distortion about the -
plane, which we see in 3D as a rotation about the
axis.
Contributed by: Gerard Balmens (November 2012)
Open content licensed under CC BY-NC-SA
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"Rotating a Hypercube in 4D"
http://demonstrations.wolfram.com/RotatingAHypercubeIn4D/
Wolfram Demonstrations Project
Published: November 27 2012