MathDB

5

Part of 1996 Austrian-Polish Competition

Problems(1)

sphere S divides every edge of a convex polyhedron P into 3 equal parts.

Source: Austrian - Polish 1996

5/16/2019
A sphere SS divides every edge of a convex polyhedron PP into three equal parts. Show that there exists a sphere tangent to all the edges of PP.
geometry3D geometryspherepolyhedronconvex