Blind men and hypercubes (Q717668)

Suppose the surface of a cube with edge equal to \(n\), built of \(n^3\) white cube of edge one is painted black. If a blind man splits the cube, then the probability \(p(3;n)\) that he assemble a cube that looks like the original one is obtained in this paper. Furthermore, the authors generalize the procedure to general results in higher dimensions such as \(p(d;n)\) and \(p(3;m,n,p)\).