MathDB
Staircase-brick with 3 steps of width 2 using 12 unit cubes

Source: IMO Shortlist 2000, C2

August 10, 2008
3D geometrycombinatoricspackingColoringIMO Shortlist

Problem Statement

A staircase-brick with 3 steps of width 2 is made of 12 unit cubes. Determine all integers n n for which it is possible to build a cube of side n n using such bricks.