Infinitely many equidistant parallel lines are drawn in the plane. A positive integer n⩾3 is called frameable if it is possible to draw a regular polygon with n sides all whose vertices lie on these lines, and no line contains more than one vertex of the polygon.(a) Show that 3,4,6 are frameable.
(b) Show that any integer n⩾7 is not frameable.
(c) Determine whether 5 is frameable.Proposed by Muralidharan number theoryTilingdescenttrigonometryNiven theoremrationalGalois Theory