Geometry of the antennas in the Mandelbrot set

In the Mandelbrot set, the bulbs attached directly to the main cardioid are called the p/q-bulbs. The reason for this is that the largest component of the interior of these bulbs consists of c-values for which the quadratic function Q(c)(z) = z(2) + c admits an attracting cycle with rotation number p/q. In this paper, we give a geometric method to read off p/q from the geometry of the antenna attached to the bulb.