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MathNet 2018-part-05 — 181 problems (EN–VI) Question 104

Math Olympiad Vault · MathNet 2018-part-05 — 181 problems (EN–VI)

Question 104

You are given some equilateral triangles and squares, all with side length $1$, and asked to form convex $n$ sided polygons using these pieces. If both types must be used, what are the possible values of $n$, assuming that there is sufficient supply of the pieces?