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[personal profile] lederhosen
Puzzle for physics geeks: Take one nonconducting icosahedron (that's a d20 for all you gamers). Replace its edges with 1-ohm resistors, connected at the vertices, so you now have a web of thirty resistors.

What is the resistance between opposite corners of the icosahedron?

(There are two ways I know of to do this one. The hard way involves a lot of simultaneous equations; the easy way takes about five seconds of mental calculation, once you know the trick.)
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lederhosen

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