MathDB

4.2

Part of MathLinks Contest 2nd

Problems(1)

0242 translations of equilateral 2nd edition Round 4 p2

Source:

5/10/2021
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.
geometry2nd edition