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MathNet 2022-part-03 — 197 problems (EN–VI) Question 170

Math Olympiad Vault · MathNet 2022-part-03 — 197 problems (EN–VI)

Question 170

Eleonora has a piece of paper in the shape of an equilateral triangle with an area of $1$. She folds the piece several times and puts it flat on the table. It turns out that the figure on the table is not more than four layers thick anywhere.
What is the minimum area of the figure lying on the table?