22

Part of 2014 Sharygin Geometry Olympiad

Problems(1)

convex polyhedron with diagonals and each of diagonal shorter than edge ?

Source: Sharygin Geometry Olympiad 2014 Correspondence Round P22

Does there exist a convex polyhedron such that it has diagonals and each of them is shorter than each of its edges?

geometrypolyhedronconvex3-Dimensional Geometry