shortest path of movement of an ant on the surface of a cube, returning in start
Source: May Olympiad (Olimpiada de Mayo) 2003 L2
September 15, 2018
geometry3D geometrycubeminimum
Problem Statement
An ant, which is on an edge of a cube of side , must travel on the surface and return to the starting point. It's path must contain interior points of the six faces of the cube and should visit only once each face of the cube. Find the length of the path that the ant can carry out and justify why it is the shortest path.