| Disclaimer:The following are my notes. As I am learning electronics, I am making my notes available. I hope they will be of benefit. However, I do not guarantee the accuracy of my work. I recommend the reader exercise critical thinking.
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H
I frequently run into resistors in an H pattern.
I don't know why I've been so unlucky.
I finally decided to work out the attributes
of this configuration.
This is my initial finding.
The parallel and series resistor relations will not solve this configuration.
So, I used Kirkoff's law.
I started to work out the equations by hand. The solution was not quickly apparent. I decided to shove these equations into Maple. (I love Maple.)
Here is the maple text:
solve({ V=R1*i1+R3*i3+R5*i5,
V=R1*i1+R4*i4,
V=R2*i2+R5*i5,
V=R2*i2-R3*i3+R4*i4,
i0=i1+i2,
i1=i3+i4,
i5=i2+i3,
i6=i4+i5,
i6=i0}, {i0,i1,i2,i3,i4,i5,i6} );
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Executing this with maple gives the following answer.
Well, I did not expect the solution to be so complex.
I added these expressions to an XLS file. You can edit the Green fields of the XLS file.
I will experimentally test these findings a little later.
Download the XLS file 
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