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Article overview
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Replication of arbitrary hole-free shapes via self-assembly with signal-passing tiles (extended abstract) | | Jacob Hendricks
; Matthew J. Patitz
; Trent A. Rogers
; | | Date: |
4 Mar 2015 | | Abstract: | In this paper, we investigate the abilities of systems of self-assembling
tiles which can each pass a constant number of signals to their immediate
neighbors to create replicas of input shapes. Namely, we work within the
Signal-passing Tile Assembly Model (STAM), and we provide a universal STAM tile
set which is capable of creating unbounded numbers of assemblies of shapes
identical to those of input assemblies. The shapes of the input assemblies can
be arbitrary 2-dimensional hole-free shapes at scale factor 2. This greatly
improves previous shape replication results in self-assembly that required
models in which multiple assembly stages and/or bins were required, and the
shapes which could be replicated were quite constrained. | | Source: | arXiv, 1503.1244 | | Services: | Forum | Review | PDF | Favorites | |
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