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2020 IGO Intermediate P5

Source: 7th Iranian Geometry Olympiad (Intermediate) P5

November 4, 2020
3D geometrygeometryIGO

Problem Statement

Find all numbers n≥4n \geq 4 such that there exists a convex polyhedron with exactly nn faces, whose all faces are right-angled triangles. (Note that the angle between any pair of adjacent faces in a convex polyhedron is less than 180∘180^\circ.)
Proposed by Hesam Rajabzadeh
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