A Geometrical Way to Sum Powers by Means of Tetrahedrons and Eulerian Numbers
classification
🧮 math.HO
keywords
tetrahedronscubed-dimensionaleuleriannumberscalculationcubesedges
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We geometrically prove that in a d-dimensional cube with edges of length n, the number of particular d-dimensional tetrahedrons are given by Eulerian numbers. These tetrahedrons tassellate the cube, In this way the sum of the cubes are the sums of the tetrahedrons, whose calculation is trivial.
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