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0242 translations of equilateral 2nd edition Round 4 p2

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May 10, 2021
geometry2nd edition

Problem Statement

Given is a finite set of points MM and an equilateral triangle Δ\Delta in the plane. It is known that for any subset M′⊂MM' \subset M, which has no more than 99 points, can be covered by two translations of the triangle Δ\Delta. Prove that the entire set MM can be covered by two translations of Δ\Delta.
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