Sol LeWitt's artwork "Incomplete Open Cubes" enumerates all distinct connected sets of edges of the cube which do not collapse into a smaller dimension (a figure that lies in the plane, or a single line.) There are 123 such figures, if we exclude the full cube, that are distinct under rotation but not reflection. How many are there if we consider 4-dimensional or 5-dimensional hypercubes? How would we calculate it?
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