Copy of polygon ring

A regular polygon is dilated by a factor of r, with its vertices as centres of dilation. A ring of polygons is formed. Try different number of sides (n) and dilation factor (r). [color=#c51414]For a particular polygon, what values of r may produce interesting patterns?[/color]
see examples here: https://www.evernote.com/l/AAOdFItzL3JKmr4AmD4wUzbymeTIuyH7mI8

Information: Copy of polygon ring