sum of products of 4 numbers at vertices of a cube, with 1 or -1 assigned
Source: Polish second round 1994 p4
January 19, 2020
cubecombinatoricscombinatorial geometry
Problem Statement
Each vertex of a cube is assigned or . Each face is assigned the product of the four numbers at its vertices. Determine all possible values that can be obtained as the sum of all the assigned numbers.