M2602

Part of Kvant 2020

Problems(1)

Triangular polygons

Source: Kvant Magazine No. 5 2020 M2602

For a given natural number

k{}

, 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{}

n{}

-gon? [*]What is the largest

n{}

for which any convex

n{}

k{}

-triangular?
Proposed by P. Kozhevnikov

geometrycombinatorial geometryKvant