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Old November 3rd, 2007, 12:42 PM
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Quote:
Originally Posted by carlosinho View Post
We would like to pack as many circles of diameter

d as possible into another large circle of

diameter D. We denote by N(d;D) such number.
(a) Give the upper bound for N(d;D).
(b) Give in details how we can calculate a lower bound for N(d;D). Find an explicit value for

N
when d = 9 mm and D = 72 mm.

ANY IDEAS?!
Parts a) and b) are so vaguely worded that we can give bounds as follows:

Clearly if d<D: 1<floor(D/d)<N(d;D)< floor(D^2/d^2)

but these are not tight.

RonL
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