Zeus lightnings
Source: (2022-) 2023 XVI 16th Dürer Math Competition Finals Day 2 E14
May 25, 2024
combinatoricsgeometrycombinatorial geometry
Problem Statement
Zeus’s lightning is made of a copper rod of length by bending it times in alternating directions so that the angle between two adjacent parts is always . What is the minimum value of the square of the distance between the two endpoints of the lightning?
All five segments of the lightning lie in the same plane.
https://cdn.artofproblemsolving.com/attachments/5/1/a18206df4fde561421022c0f2b4332f5ac44a2.png