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Not to be quarrelous or anything, but time or 'duration' is considered the 4th Dimension. What you are talking about is called the 5th dimension, or more aptly, the 4th Spatial Dimension.
And of course the hypercube is a 4th dimensional cube-like object 'shadowed' in the 3rd dimension, as a square is a 2nd dimensional shadow of a cube and a line is a 1st dimensional shadow of the a square. And then everything is shadowed down to a point* in the 0th dimension.
*A point being nothingness.
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