211

Part of 1975 All Soviet Union Mathematical Olympiad

Problems(1)

ASU 211 All Soviet Union MO 1975 polygons in space, every 2 common point

Source:

Given a finite set of polygons in the plane. Every two of them have a common point. Prove that there exists a straight line, that crosses all the polygons.

combinatoricscombinatorial geometrypoints in space