segments on surface of regular tetrahedron
Source: Polish MO Finals 1975 p2
August 23, 2024
geometry3D geometrytetrahedroncombinatorial geometry
Problem Statement
On the surface of a regular tetrahedron of edge length are given finitely many segments such that every two vertices of the tetrahedron can be joined by a polygonal line consisting of given segments. Can the sum of the lengths of the given segments be less than ?