Numbers in a cube
Source: Ibero-American Olympiad 1991, Problem 1
May 3, 2007
geometry3D geometrycombinatorics proposedcombinatorics
Problem Statement
Each vertex of a cube is assigned an 1 or a -1, and each face is assigned the product of the numbers assigned to its vertices. Determine the possible values the sum of these 14 numbers can attain.