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MathNet 2023-part-01 — 191 problems (EN–VI) Question 90

Math Olympiad Vault · MathNet 2023-part-01 — 191 problems (EN–VI)

Question 90

The Euclidean plane is dissected into several disjoint *bounded* regions (not further subdivided) by $n$ intersecting equilateral triangles of side length $1$. Determine the smallest value of $n$ such that the number of parts thus arising can be at least $2023$.

The picture shows four intersecting triangles.

Question illustration