Eight points are arranged in an octagon. Each point is connected to each other point with a 1-ohm resistor. (So there are a total of 28 resistors.)

What is the total resistance between two diametrically opposite points on the octagon?

(Recall that two resistors, A ohms and B ohms, have a combined resistance of A+B ohms if they are in series, or 1/(1/A+1/B) ohms if they are in parallel.)

Bill Smythe