# Size-Dependent Tile Self-Assembly: Constant-Height Rectangles and Stability

@inproceedings{Fekete2015SizeDependentTS, title={Size-Dependent Tile Self-Assembly: Constant-Height Rectangles and Stability}, author={S{\'a}ndor P. Fekete and Robert T. Schweller and Andrew Winslow}, booktitle={ISAAC}, year={2015} }

We introduce a new model of algorithmic tile self-assembly called size-dependent assembly. In previous models, supertiles are stable when the total strength of the bonds between any two halves exceeds some constant temperature. In this model, this constant temperature requirement is replaced by an nondecreasing temperature function\(\tau : \mathbb {N} \rightarrow \mathbb {N}\) that depends on the size of the smaller of the two halves. This generalization allows supertiles to become unstable and…

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