2006 OIM Problems/Problem 6
Problem
Let 
be an odd integer. Let 
and 
be two consecutive vertices of a regular polygon with 
sides. For each 
, define 
as the vertex of the given polygon which is located in the bisector of 
and 
. Find for what values of the sequence 
, runs through all the vertices of the polygon.
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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