Question Details

Question No: 16

Let n>3 be a positive integer. Equilateral triangle ABC is divided into n^2 (N to be power 2) smaller congruent equilateral triangles (with sides parallel to its sides). Let m be the number of rhombuses that contain two small equilateral triangles and d the number of rhombuses that contain eight small equilateral triangles. Find the difference m-d in terms of n.

Answer must be a floating-point or integer value and precision error less than 10^-6 is allowed.