Rotatable tower

Rotatable tower situated in the city center has ground shape of a regular polygon. If the tower is rotated by 14.4° around its centerpiece it looks from the side same. Your task is to calculate at least how many vertices can have a ground plan view of the tower?

Correct result:

n =  25


n=360/14.4=25n = 360 / 14.4 = 25

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