👉 In mathematics, a hypercube is a generalization of a cube. It is an n-dimensional closed, convex polytope (or simplex) with all its vertices at the origin and such that each vertex has integer coordinates. The formula for the volume of a hypercube in n dimensions can be derived from the Pythagorean theorem. For example, if n = 3, then a hypercube would have side lengths of length 1 (for an equilateral triangle), and its volume is
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