call 'rosettes' - a number of circles that overlap as much as possible...

n = 3

r = 7

n = 4

r = 13

n = 8

r = 57

in general?

why?

if you focus your attention on the 'swirls' then each of the 8 of them has 7 regions making

8 x 7 + 1(the middle)

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