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5
2021 Team #5
2021 Team #5
Source:
June 27, 2021
3D geometry
combinatorics
Problem Statement
A convex polyhedron has
n
n
n
faces that are all congruent triangles with angles
3
6
∘
,
7
2
∘
36^{\circ}, 72^{\circ}
3
6
∘
,
7
2
∘
, and
7
2
∘
72^{\circ}
7
2
∘
. Determine, with proof, the maximum possible value of
n
n
n
.
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