IMO 1976 LL GBR17
Show that there exists a convex polyhedron with all its vertices
IMO 1976 LL GBR17
Origin: GBR
Problem
Show that there exists a convex polyhedron with all its vertices on the surface of a sphere and with all its faces congruent isosceles triangles whose ratio of sides are \sqrt 3 : \sqrt 3 : 2.