Jbmo 2011 Problem 3
Source: Jbmo 2011
June 21, 2011
geometryrhombussymmetryratiocombinatorics unsolvedcombinatorics
Problem Statement
Let be a positive integer. Equilateral triangle ABC is divided into smaller congruent equilateral triangles (with sides parallel to its sides). Let be the number of rhombuses that contain two small equilateral triangles and the number of rhombuses that contain eight small equilateral triangles. Find the difference in terms of .