2007 OIM Problems/Problem 6
Problem
Let be the family of all convex hexagons such that the opposite sides of are parallel, and any three vertices of can be covered with a strip of width 1. Find the smallest real number such that each of the hexagons of family can be covered with a strip of width .
Note: A strip of width is the region of the plane included between two parallel lines that are at a distance (including both parallel lines).
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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