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Hierarchical growth is necessary and (sometimes) sufficient to self-assemble discrete self-similar fractals |
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| Authors: | Hendricks Jacob Opseth Joseph Patitz Matthew J Summers Scott M |
| Affiliation: | 1.Department of Computer Science and Information Systems, University of Wisconsin - River Falls, River Falls, USA ;2.Department of Computer Science and Computer Engineering, University of Arkansas, Fayetteville, USA ;3.Computer Science Department, University of Wisconsin–Oshkosh, Oshkosh, USA ; |
| Abstract: | Natural Computing - In this paper, we prove that in the abstract Tile Assembly Model (aTAM), an accretion-based model which only allows for a single tile to attach to a growing assembly at each... |
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