Difference between revisions of "Identifying Shapes Using Self-Assembly"
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m (moved Identifying Shapes Using Self-Assembly (extended abstract) to Identifying Shapes Using Self-Assembly: This links to the full, Algorithmica version rather than the extended abstract of ISAAC.) |
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Revision as of 21:54, 29 November 2011
Published on:
Abstract
In this paper, we introduce the following problem in the theory of algorithmic self-assembly: given an input shape as the seed of a tile-based self-assembly system, design a finite tile set that can, in some sense, uniquely identify whether or not the given input shape--drawn from a very general class of shapes--matches a particular target shape. We first study the complexity of correctly identifying squares. Then we investigate the complexity associated with the identification of a considerably more general class of non-square, hole-free shapes.
Authors
Matthew J. Patitz and Scott M. Summers
