7ᵗʰ Iranian Geometry Olympiad (Intermediate) P5

For discussing Olympiad level Geometry Problems
IftakharTausifFarhan
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Joined:Sat Dec 12, 2020 3:33 pm
7ᵗʰ Iranian Geometry Olympiad (Intermediate) P5

Unread post by IftakharTausifFarhan » Sat Dec 12, 2020 4:18 pm

Find all numbers $n \ge 4$ such that there exists a convex polyhedron with exactly $n$ 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 $180^{\circ}$.)

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