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MathNet 2005 — Part 02 Question 167

Math Olympiad Vault · MathNet 2005 — Part 02

Question 167

Determine if there exists a convex polyhedron such that
(1) it has 12 edges, 6 faces and 8 vertices;
(2) it has 4 faces with each pair of them sharing a common edge of the polyhedron.