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An n-cube is a cube in n dimensions. A cube in one dimension is a line...

An n-cube is a cube in n dimensions. A cube in one dimension is a line segment; in two dimensions,
it is a square, in three, a normal cube, and in general, to go to the next dimension, a copy of the cube is
made and all corresponding vertices are connected. If we consider the cube to be composed of the vertices
and edges only, show that every n-cube with n ≥ 2 has a Hamiltonian cycle.

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