3

Part of 2009 Danube Mathematical Competition

Problems(1)

min no ef equilaterals of side 1 to cover surface of equilateral side n+1/2n

Source: Danube 2009 p3

n

be a natural number. Determine the minimal number of equilateral triangles of side

1

to cover the surface of an equilateral triangle of side

n +\frac{1}{2n}

combinatoricscombinatorial geometryEquilateral TriangleEquilateralminimum