max length of broken line on surface of unit cube
Source: 2002 Estonia National Olympiad Final Round grade 10 p4
March 16, 2020
geometrymaxLinecube3D geometry
Problem Statement
Find the maximum length of a broken line on the surface of a unit cube, such that its links are the cube’s edges and diagonals of faces, the line does not intersect itself and passes no more than once through any vertex of the cube, and its endpoints are in two opposite vertices of the cube.