Calculation of equivalent resistance

[Abhijit]

1. The Problem Statement

Calculate the equivalent resistance between O and the circumference. Each wire has 24 ohm resistance and the circumference has zero resistance.

2. Homework Equations
Not needed.3. Attempt at solution
I tried to use symmetry to solve this problem. I understand that we can break the network into half and every resistance except those on the diameter will become 12 ohm. What should I do next? https://www.physicsforums.com/attachments/211003

 

[mfb]

There is much more symmetry to exploit.

 

[Abhijit]

Thanks, mfb. I finally got the answer after three folds.

 

[conscience]

There is much more symmetry to exploit.

Hello ,

This is quite an interesting problem .

Is equivalent resistance 6 Ohm ?

 

[Abhijit]

Hello ,

This is quite an interesting problem .

Is equivalent resistance 6 Ohm ?

Hi Conscience,

Yes. you're right. The answer is 6 ohm.