Effects of Chip-Firing Games on Penrose Tilings
In this research project, we are looking at networks. This network can be built in any shape or pattern; there is no defining characteristic or restriction as to its shape or structure. Specifically, we are looking at non-repeating, irregularly shaped networks, which look different no matter at which point you look at them. We want to look at a game known as a “chip-firing game.” When enough “chips” are piled onto any network node, that node sends chips to all of its neighbors. The goal of this project is to observe the effects of chip-firing games on these irregularly shaped networks. Some questions we might ask during our research are: do any interesting structures appear? Is there any pattern to the procedure of these games?