Tile circles - Liceo Scientifico R. Bruni (Padova)

Liceo Scientifico R. Bruni (Padova)
A factory produces tiles (called "regular") in the format of regular polygons with n sides (each side measuring 1). An artist wants to build “tile circles” in his artwork.
For this reason he requires that neighboring tiles share a side and there are no overlaps.
i. For which regular polygons (i.e. for which n) is it possible to close the circle?
ii. Which figures appear at the center of the work?
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