An electricity and magnetism problem by Soumava Pal

Determine the resistance \(R_{AB}\) between points \(A\) and \(B\) of the frame made of thin homogeneous wire assuming that the number of triangles (with sides decreasing by half) tends to infinity. (All the triangles are equilateral.) Side \(AB=a=1 \text{ unit}\), and the resistance of unit length of the wire is 1 unit.

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