MathDB
dissecting a cube (2n+1)^2 into 1x1x1 and 2x2x1, min no of small cubes

Source: Sharygin Final 2007 9.6

April 30, 2019
geometrycombinatorial geometry

Problem Statement

A cube with edge length 2n+12n+ 1 is dissected into small cubes of size 1×1×11\times 1\times 1 and bars of size 2×2×12\times 2\times 1. Find the least possible number of cubes in such a dissection.