View Full Version : Triq, diameter of circles about a circle
JVC
Mar 31, 2007, 10:34 AM
How do I determine the minimum outside diameter of a group of 7 wires of .150 OD that are arranged in a circle and touching each other around a center core.
galactus
Mar 31, 2007, 10:49 AM
I would think it would be 0.45
Capuchin
Mar 31, 2007, 10:55 AM
http://www.stetson.edu/~efriedma/cirincir/ccc7.gif
Proved as the smallest possible packing of 7 circles into a larger circle, by Graham in 1968.
If the interior circles have d=1 then total d = 3 (as can obviouslyt be seen)
It gets much more interesting above 7 :)
Capuchin
Mar 31, 2007, 11:46 AM
Erich's Packing Center (http://www.stetson.edu/~efriedma/packing.html)
Ridiculously interesting site.
Capuchin
Apr 3, 2007, 11:52 AM
Thanks for the help but I meant 7 wires in a circle around a central wire, so 8 wires in total
Jvc! Always better if you reply here! :)
If you had looked at the website I stated, it gives the answer:
http://www.stetson.edu/~efriedma/cirincir/ccc8.gif
d = 3.304*.15 = ~0.5 (0.4965)