# 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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