MathDB
Colouring a cube of side 7

Source: Tuymaada 2013, Day 2, Problem 5 Juniors

July 22, 2013
geometry3D geometrycombinatorics proposedcombinatorics

Problem Statement

Each face of a 7×7×77 \times 7 \times 7 cube is divided into unit squares. What is the maximum number of squares that can be chosen so that no two chosen squares have a common point?
A. Chukhnov