MathDB

10

Part of 1985 IMO Shortlist

Problems(1)

Point M on surface of a regular tetrahedron

Source:

8/29/2010
Prove that for every point MM on the surface of a regular tetrahedron there exists a point M′M' such that there are at least three different curves on the surface joining MM to M′M' with the smallest possible length among all curves on the surface joining MM to M′M'.
geometry3D geometrytetrahedronIMO Shortlist