# Thread: circle packing question

1. ## circle packing question

i want to know how to calculate upper and lower bounds, is there any particualr formula we have to use?

the question is...

we would like to pack as many circles of diameter d as possible into another larger circle of diameter D. we donate by N(d,D) such number

a) give an 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=6mm and D=48mm.

someone please help!!!! i've had a look at some websites but im having problems understanding the concept, pleas explain!

thanx

2. anyone???

3. some one please??

4. Originally Posted by saha01
i want to know how to calculate upper and lower bounds, is there any particualr formula we have to use?
the question is...
we would like to pack as many circles of diameter d as possible into another larger circle of diameter D. we donate by N(d,D) such number

a) give an 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=6mm and D=48mm.

someone please help!!!! i've had a look at some websites but im having problems understanding the concept, pleas explain!
thanx
Your question is best answered via
Gauss's Circle Problem
check here
Gauss's Circle Problem -- from Wolfram MathWorld

or this
Circle Lattice Points
Circle Lattice Points -- from Wolfram MathWorld

Attached are some images that might help.