exists plane cutting all 7 tetrahedra in triangles of equal areas
Source: All - Russian Regional Olympiad (Round 4) 1993 11.6
August 26, 2024
geometry3D geometrytetrahedron
Problem Statement
Seven tetrahedra are placed on the table. For any three of them there exists a horizontal plane cutting them in triangles of equal areas. Show that there exists a plane cutting all seven tetrahedra in triangles of equal areas.