Kevin D. Rowland Jr., Brown University, Providence, RI
One of the very basic principles of A New Kind of Science (NKS) is the idea that complex behavior can be explained and modeled by simple rules. One basic observation of this phenomenon is the Rule 30 cellular automaton, which exhibits random complex behavior from a basic rule set. The goal of this work is to develop a set of simple rules that will model crystallization behavior in metal-organic coordination polymers. Tiling patterns created by T-shaped secondary building units (SBU) in two-dimensions are investigated. These T-shaped SBUs can exhibit at least five 2D tiling patterns, often referred to as brick wall, herringbone, ladder, long-and-short brick, and basket weave. A logical rule set has been developed governing crystal growth of T-shaped SBUs. These rules are applied and results are visualized using a relatively simple Mathematica script. The various patterns that arise are presented and can be altered by the seed used to start the simulation, as well as the manner in which the rules are applied during the experiment.
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