Consider figures 1 and 2 showing a 'necklace' and a 'floret' of
squares. All the squares are regularly spaced around the circles
and have side length 1 unit. Calculate, in each case, the inner and
outer radii of the rings (or annuli, the singular is annulus) that
surround the squares. If you 'merged' the two figures would one
annulus lie completely inside the other?