Rotating a Hypercube in Four Dimensions with Eight Spaced Cubes

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This Demonstration gives a variety of animated rotations of a hypercube in four dimensions with eight spaced cubes projected onto three dimensions. An axis (set of fixed points) of a four-dimensional 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 in three dimensions represents a rotation about the axis.

Contributed by: Gerard Balmens (December 2017)
Open content licensed under CC BY-NC-SA


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