ASU 241 All Soviet Union MO 1976 convex polyhedron can be inscribed in sphere
Source:
July 6, 2019
convex polyhedronpolyhedronsphere3D geometrygeometry
Problem Statement
Every vertex of a convex polyhedron belongs to three edges. It is possible to circumscribe a circle around all its faces. Prove that the polyhedron can be inscribed in a sphere.