MathDB
Rectangular parallelepiped with all vertices of the same color

Source: Spain Mathematical Olympiad 2020 P3

July 14, 2020
combinatoricslatticeSpain

Problem Statement

To each point of Z3\mathbb{Z}^3 we assign one of pp colors.
Prove that there exists a rectangular parallelepiped with all its vertices in Z3\mathbb{Z}^3 and of the same color.
Back to ProblemsView on AoPS