TOT 525 1997 Spring J O2 equilateral triangle billiard
Source:
September 11, 2024
geometrycombinatoricscombinatorial geometry
Problem Statement
Baron Munchausen plays billiards on a table with the shape of an equilateral triangle. He claims to have shot a ball from one of the sides of this table so that it passed through a certain point three times in three different directions and then returned to the original point on the side. Can that be true, assuming that the usual law of reflection holds?(Μ Evdokimov)