Maximizing the conduction
Ashish has a set of 12 resistances, each are equal in length but there resistance are in geometric progression. The smallest resistance is \(1\space \Omega\) and the common ratio is \(2\). Now, Ashish being curious boy arranged them such that the twelve resistance formed a regular octahedron as shown below. He also wanted the circuit to conduct maximum current. So he adjusted the resistances in a unique configuration such that equivalent resistance between a particular pair of opposite nodes is the minimum.
Now, what is the resistance \(in \space \Omega\) that Ashish achieved for maximum conduction.
Correct your answer to two decimal places.