Dodecahedron of 1200 ohm resistors (corrected and resubmitted)
Measure the resistance between the diamond shaped nodes. The edges are all resistors. The nodes are where the resistors are joined.
The numbering near the nodes are just labeling and can be ignored safely.
The answer is 1400.
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1 solution
The disk nodes of the same color are at the same voltage and can be shorted as together with affecting the results as not current would flow between them, this specifically includes shorting out a resistor. In the previous version of this problem, I missed this point and thereby miscounted.
The answer is 1 2 0 0 Ω × ( 2 3 1 + 3 6 1 ) or 1 4 0 0 Ω .
I apologize to and thank the two people that reported the problem in the prevoius version of the problem.