Octagonal Resistor System

Electricity and Magnetism Level 4

8 resistors (orange color) are connected to form a regular octagon. 8 more resistors (blue color) connect the vertices of the octagon to its center. All the 16 resistors are of resistance \(\SI{420}{\ohm}\).

If the connecting wires have negligible resistance, calculate the equivalent resistance (in ohms, rounded to the nearest integer) between the terminals \(A\) and \(B\).

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