MathDB
Vertices of a cube are assigned numbers

Source: Romanian District Olympiad 2006, Grade 8, Problem 4

March 11, 2006
geometry3D geometryprism

Problem Statement

a) Prove that we can assign one of the numbers 11 or −1-1 to the vertices of a cube such that the product of the numbers assigned to the vertices of any face is equal to −1-1. b) Prove that for a hexagonal prism such a mapping is not possible.
Back to ProblemsView on AoPS