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Ok, I can't pretend to understand that without spending a serious amount of time on it. I've never used Mathematica, and It's not my best subject I'm afraid.
In the real world, the resistor values will probably be within 10% of each other and the mesh size is likely to be somewhere in the region...
That's very useful because I can now see that I need to look at this problem in a different way. I certainly would be interested in the details of how you did this, because it might help me to make a better guess at the resistor values, or at lease see how one resistor value influences another...
You are indeed a clever guy, this is disappointing but nonetheless useful. You have provided absolute proof that these circuits do not provide the unique solutions that I had hoped for, but at least that saves me wasting time on a false assumption.
This raises some interesting questions though...
There are 8 resistor values to find and only 5 equations. I think you may have misunderstood the question. I've shown an example solution with the resistor values in place, but you have to imagine that you don't know any of them. All you know is the information that I've indicated in the text...
Don't be fooled, this problem at first appears trivial, and then impossible.
Before you ask, there is no way to take out any of the resistors from the mesh or to know their values by their markings. The project is commercially sensitive so I'm afraid the discussion is going to have to be...
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