| 1. (d) Say N is the cycle number of the disc to which the antenna is attached. |
| Except for the spoke attaching the antenna to the body of the Mandelbrot set, the largest midget in one spoke has cycle number N + 1, the largest in another has cycle number N + 2, ..., the largest midget in the remaining spoke has cycle number 2*N - 1. |
| (The order in which these cycles are arranged can be determined, but requires a bit more work.) |
| Proceeding along each spoke to the point where the spokes join, the cycle of the largest midget increases by N. |
| For the spoke attaching the antenna to the body of the Mandelbrot set, the largest midget has cycle number N*3. |
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