Self-Assembling Rulers for Approximating Generalized Sierpinski Carpets

Abstract

Discrete self-similar fractals have been used as test cases for self-assembly, both in the laboratory and in mathematical models, ever since Winfree exhibited a tile assembly system in which the Sierpinski triangle self-assembles. For strict self-assembly, where tiles are not allowed to be placed outside the target structure, it is an open question whether… (More)
DOI: 10.1007/s00453-012-9691-x

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Cite this paper

@article{Kautz2011SelfAssemblingRF, title={Self-Assembling Rulers for Approximating Generalized Sierpinski Carpets}, author={Steven M. Kautz and Brad Shutters}, journal={Algorithmica}, year={2011}, volume={67}, pages={207-233} }