  Recently, a combinatorial settlement planning model was introduced. The idea
underlying the model is that the houses are randomly being built on a
rectangular tract of land according to the specified rule until the maximal
configuration is reached, that is, no further houses can be built while still
following that rule. Once the building of the settlement is done, the main
question is what percentage of the tract of land on which the settlement was
built has been used, i.e. what is the building density of the maximal
configuration that was reached. In this article, with the aid of simulations,
we find an estimate for the average building density of maximal configurations
and we study what happens with this average when the size of a tract of land
grows to infinity.
