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MathNet 2020 — Math Olympiad Vault — Part 05 Question 10

Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 05

Question 10

You have an unlimited supply of square tiles with side length $1$ and equilateral triangle tiles with side length $1$. For which $n$ can you use these tiles to create a convex $n$-sided polygon? The tiles must fit together without gaps and may not overlap.