Two tetrahedra and octahedra - Paenza 2010
Source:
August 27, 2010
geometry3D geometrytetrahedronoctahedronanalytic geometrygeometry unsolved
Problem Statement
In space are given two tetrahedra with the same barycenter such that one of them contains the other.
For each tetrahedron, we consider the octahedron whose vertices are the midpoints of the tetrahedron's edges.
Prove that one of this octahedra contains the other.