philmt59 at aol.com
Fri Oct 26 14:07:11 CDT 2012
Bugger, there goes my prize.
I realized as I tucked myself into bed that not all nodes can give one ohm, as if they are on the same row or column, the shortest path is through n one ohm resistors. However, I contend that electrons are clever enough to take only the shortest route, and not to bother with infinitely long parallel alternatives. Anyway, 24 resistors is practically infinity anyway.
Huh. I never wanted to play anyway.
On 26 Oct 2012, at 18:06, Richard O'Neill wrote:
> Oops! I've discovered that I must eat my words, with a side helping of humble pie. Several calculations later have demonstrated to me that the rate of resistance decline with more resistors is greater than I had first estimated. In hindsight I should have seen it.
> As more resistors are added the resistance decreases well below one ohm and continues to decline. I don't know to what value and won't speculate further. Guess I've earned the Ig Nobel prize of the week. :'(
> Tacos mailing list
> Tacos at amrad.org
More information about the Tacos