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Anymouse
umm.... hasn't anybody bothered to look this up?
just as a 2d square is made from 4 1d lines, and a 3d cube is made from 6 2d squares, each of a hypercube's "sides" is a 3d cube.
even though a line can exist in 1d space, a square requires 2d space. even though squares are 2d, a cube need 3d space. likewise, even though cubes are 3d, a hypercube is a 4 dimensional object.
just like a 3d cube can be projected onto a 2d object (a jpg), a hypercube can be projected onto a 3d object... except we can't post real 3d objects here, so we have to downsample it even more to a 2d one.
but yes, the OP gif is in fact a hypercube being projected onto a 3d object and is animated by rotating the A axis (I think. in addition to X Y and Z they have A B and C too).
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