a number of circles that overlap as much as is possible...
with n (circles) = 3,
r (regions) = 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 creating
8 x 7 + 1 (the middle) altogether
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