olymmath

JBMO 2011 Problem 3

  • Paper

Let n>3n>3 be a positive integer. Equilateral triangle ABC is divided into n2n^2 smaller congruent equilateral triangles (with sides parallel to its sides). Let mm be the number of rhombuses that contain two small equilateral triangles and dd the number of rhombuses that contain eight small equilateral triangles. Find the difference m−dm-d in terms of nn.

Dataset text AoPS wiki problems. Quoted with source.

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