Difference between revisions of "2022 SSMO Team Round Problems/Problem 13"
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Latest revision as of 13:07, 14 December 2023
Problem
In regular hexagon 
with side length 1, an electron starts at point 
. When the electron hits an edge, it reflects off of it, with the angle of reflection equal to the angle of incidence. The electron first travels in a straight line to a point on edge 
. The electron bounces off of a total of 
edges before hitting a vertex. The electron stops and its total distance traveled is measured. If the shortest possible distance the electron could have traveled can be expressed as 
, find 
.
