CZ-SK-MO 1997 Problem 3
A tetrahedron is divided into five polyhedra so that each face of the tetrahedron is a face of (exactly) one polyhedron, and that the intersection of any two of the polyhedra is either a common vertex, a common edge, or a common face. What is the smallest possible sum of the numbers of faces of the five polyhedra?
Dataset text AI-MO AoPS. Quoted with source.
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