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Triangular polygons

Source: Kvant Magazine No. 5 2020 M2602

March 9, 2023

geometrycombinatorial geometryKvant

Problem Statement

For a given natural number

n{}

, a convex polygon is called

k{}

-triangular if it is the intersection of some

k{}

triangles.
[*]What is the largest

n{}

for which there exist a

k{}

-triangular

n{}

-gon? [*]What is the largest

n{}

for which any convex

n{}

-gon is

k{}

-triangular?
Proposed by P. Kozhevnikov

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