median
don steward
mathematics teaching 10 ~ 16

Friday, 23 December 2011

rosettes

call 'rosettes'
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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