Hypercube is the generalisation in n-dimensions of a square in two dimensions and a cube in three dimensions. A square has four vertices (22), a cube, 8 vertices (23). Similarly, an n-dimensional hypercube has 2n vertices. In the famous painting ‘Christus Hypercubus’, Salvador Dali depicted Christ crucified on an unfolded four-dimensional hypercube. Examining the shadow of a cube reveals a square within a square. Similarly, the shadow of a four-dimensional hypercube will be a cube within a cube.
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