SMT 2020 Geometry Tiebreaker #2 3D
Source:
August 9, 2023
geometry3D geometry
Problem Statement
On each edge of a regular tetrahedron, five points that separate the edge into six equal segments are marked. There are twenty planes that are parallel to a face of the tetrahedron and pass through exactly three of the marked points. When the tetrahedron is cut along each of these twenty planes, how many new tetrahedrons are produced?