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Math Help - circle packing question

  1. #1
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    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
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  2. #2
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    anyone???
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  3. #3
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    some one please??
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  4. #4
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    Quote Originally Posted by saha01 View Post
    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.
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