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MathNet 2009-part-02 — 175 problems (EN–VI) Question 138

Math Olympiad Vault · MathNet 2009-part-02 — 175 problems (EN–VI)

Question 138

A certain factory produces asphalt pavements in the shape of right hexagons with unit edges and unit width. During transportation some corners of the pavement may incur some degree of damages. Then can 7 pavements with the same degree damage be found at all times from 2009 pavements?
(proposed by B. Bayasgalan)