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puzzle

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Just an interesting note - the third resistor down, in the middle, appears to be of no consequence. If you remove it, the resistance remains the same.

EDIT: Sorry bogdanfirst, I didn't see, you already mentioned it.
 
The Lower Middle resistor was the thing I wanted you all to observe. It has no use in the circuit. Good observations. CHEERS!
 
another puzzle
each segment has the resistance R
 

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