MathDB
ASU 518 All Soviet Union 1990 n^2 equilateral triangle of side 1, acute in path

Source:

August 14, 2019
equilateralsacutecombinatorial geometrycombinatorics

Problem Statement

An equilateral triangle of side nn is divided into n2n^2 equilateral triangles of side 11. A path is drawn along the sides of the triangles which passes through each vertex just once. Prove that the path makes an acute angle at at least nn vertices.