Puzzle: A Cube Of Resistors

Here’s a puzzle I just read in Clifford Stoll‘s book High Tech Heretic (paraphrased by me):

Consider 12 identical resistors connected to form a cube. That is, each resistor lies on the edge of a cube, and there is an electrical connection joining three resistors at each of the cube’s eight vertices.

What is the effective resistance between two vertices across a body diagonal of the cube?

I’ll update this post with my solution (you can probably find solutions all over the internet if you get stuck, but give it a good try if interested!) in a day or two.

(This post first appeared at my other (now deleted) blog, and was transferred to this blog on 22 January 2021.)