Using the domino dynamo model, we show how specific axisymmetric and equatorial symmetric forms of the heat flux variations at the core-mantle boundary change the frequency of the geomagnetic field reversals. In fact, we are able to demonstrate the effect known from the modern 3D planetary dynamo models using an ensemble of interacting spins, which obey equations of the Langevin type with a random force. We also consider applications to the giant planets and offer explanations of some specific episodes of the geomagnetic field in the past.