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|dw:1440928722800:dw|

@jabberwock thanks! that works perfectly!

|dw:1440936280877:dw|

where \(n\) = number of sides

exactly, but now i got what ur asking for xD

after rotating, the polygon must look exactly same as before
(overlap exactly)

they are precisely the reflections over "symmetry lines" of the polygon

and as you know every \(n-gon\) has \(n\) symmetry lines

it make sense to me now, been long time these stuff need to be reviewed.