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Orrex Donating Member (1000+ posts) Send PM | Profile | Ignore Thu Apr-07-11 10:20 AM
Original message
Math question, probably simple
Is there a relatively simple way to calculate how many circles of the same given diameter will fit inside a single larger circle?

If so, please share! Thanks!!
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Ptah Donating Member (1000+ posts) Send PM | Profile | Ignore Thu Apr-07-11 10:30 AM
Response to Original message
1. This link might help:
Edited on Thu Apr-07-11 10:32 AM by Ptah
http://mathworld.wolfram.com/CirclePacking.html





Solutions for the smallest diameter circles into which n unit-diameter circles can be packed have been proved optimal for n=1 through 10 (Kravitz 1967). The best known results are summarized in the following table, and the first few cases are illustrated above (Friedman).
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Orrex Donating Member (1000+ posts) Send PM | Profile | Ignore Thu Apr-07-11 11:03 AM
Response to Reply #1
2. Excellent--thanks for the link!
I didn't even know how to google it.
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pokerfan Donating Member (1000+ posts) Send PM | Profile | Ignore Thu Apr-07-11 04:39 PM
Response to Reply #1
6. Question
In the last figure, the last configuration shows a packing for six circles. Would not that configuration actually support a seventh circle?

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Ptah Donating Member (1000+ posts) Send PM | Profile | Ignore Thu Apr-07-11 05:32 PM
Response to Reply #6
8. The next example in that series would be seven
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Tuesday Afternoon Donating Member (1000+ posts) Send PM | Profile | Ignore Thu Apr-07-11 05:33 PM
Response to Reply #6
9. I think: yes
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HopeHoops Donating Member (1000+ posts) Send PM | Profile | Ignore Thu Apr-07-11 11:33 AM
Response to Original message
3. It depends on how drunk you are.
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Orrex Donating Member (1000+ posts) Send PM | Profile | Ignore Thu Apr-07-11 02:56 PM
Response to Reply #3
4. That's your answer for everything.
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Bake Donating Member (1000+ posts) Send PM | Profile | Ignore Thu Apr-07-11 03:32 PM
Response to Reply #4
5. But it works!
It really does!

Bake
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HopeHoops Donating Member (1000+ posts) Send PM | Profile | Ignore Thu Apr-07-11 05:30 PM
Response to Reply #4
7. Not everything - depends on how drunk I am.
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