MathDB

17

Part of 1976 IMO Longlists

Problems(1)

Existence of convex polyhedron with vertices on sphere

Source:

1/3/2011
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 3:3:2\sqrt{3} :\sqrt{3} :2.
geometry3D geometrysphereratiogeometry unsolved