A regular hexagon divided into equilateral triangles
Source: Balkan Mathematics Olympiad 2014 - Problem-4
May 4, 2014
geometryperimeterbinomial coefficientscombinatorics proposedcombinatorics
Problem Statement
Let be a positive integer. A regular hexagon with side length is divided into equilateral triangles with side length by lines parallel to its sides.
Find the number of regular hexagons all of whose vertices are among the vertices of those equilateral triangles.UK - Sahl Khan