Ok, so my last post talked about the hits I have been getting from the xckd comic that is similar to a challenge problem I posted. So, I solved the same problem as on the xkcd comic:
link!

This solution is heavily based on the work I did for this solution, so you should review this before looking at this one if you haven’t seen this solution before, as it explains what the impedances shown below are and how I reasoned them out.

So here is my solution. I took a block of resistors around the two points, and the following rewriting of the circuit follows:
This is a true representation of the circuit. The T-Delta circuit transformation is a standard circuit theory technique. From here the circuit then looks as shown below, with the circuit theory solution then of the thevanin equivalent resistance.
I haven’t computed the R thevenin yet, which I will at a later date. However, knowing from this solution that Zin = (2/3)R, the new equivalent resistance can be solved by substituting this into the T-Delta equations and then into the final equation. Again, this will be posted when I get around to doing this.

Please let me know if you find any errors in my work…