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毁扇 Not Too Far Apart Problem:We have a region bounded by a regular hexagon whose sides are of length 1 unit.Show that if any seven points are chosen in this region,then two of them must be no farther apart than 1 unit. The region can be divided into six equilateral triangles,then among 7 points randomly chosen in this region must be two located within one triangle.Not Too Far Apart Problem: We have a region bounded by a regular hexagon whose sides are of length 1 unit. Show that if any seven points are chosen in this region, then two of them must be no farther apart than 1 unit. The region can be divided into six equilateral triangles, then among 7 points randomly chosen in this region must be two located within one triangle
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