How would one connect three 9Ω resistors to get 12Ω?

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To achieve a total resistance of 12Ω using three 9Ω resistors, one must consider both series and parallel configurations. The discussion highlights that standard connections do not yield the desired resistance, suggesting a more complex approach may be necessary. A hint is provided indicating that cutting the resistors in half could be a viable solution. The problem appears in a textbook, implying that a solution exists, but the exact method remains unclear. Overall, the conversation emphasizes the challenge of connecting these resistors to reach the specified resistance.
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how would one connect three 9Ω resistors to get 12Ω??

Statement
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how would one connect three 9Ω resistors to get 12Ω??

equations
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i guess the relevant equations would be nothing more than series & parallel resistance connections..


The attempt at a solution
-------------------------
I've tried all possible ways to connect them (only 4 diff ways I guess??). There is apparently a solution since its in my nephew's textbook.
 
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bpani said:
Statement
-----------
how would one connect three 9Ω resistors to get 12Ω??

equations
-----------
i guess the relevant equations would be nothing more than series & parallel resistance connections..


The attempt at a solution
-------------------------
I've tried all possible ways to connect them (only 4 diff ways I guess??). There is apparently a solution since its in my nephew's textbook.

Hint -- you are going to have to cut the resistors in half with a fine saw...
 


I can do it with 4. Are you sure you read the problem correctly?
 


But I like Berkeman's answer better.
 

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