Naslov
Packing density of combinatorial settlement planning models

Autori
Puljiz, Mate ; Šebek, Stjepan ; Žubrinić, Josip

Vrsta, podvrsta
Radovi u časopisima, znanstveni

Izvornik
American mathematical monthly (2023)

Status rada
Prihvaćen

Ključne riječi
Simulations ; Packing density

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA