ACTIVE TILE SELF-ASSEMBLY, PART 2: SELF-SIMILAR STRUCTURES AND STRUCTURAL RECURSION

DOI10.1142/S0129054114500099zbMath1301.68124OpenAlexW2139438329MaRDI QIDQ5495430

Daria Karpenko, Nataša Jonoska

Publication date: 4 August 2014

Published in: International Journal of Foundations of Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129054114500099

zbMATH Keywords

self-similarityaperiodic tilingtile self-assemblystructural recursionactive tilesL-shape tiling

Mathematics Subject Classification ID

Modes of computation (nondeterministic, parallel, interactive, probabilistic, etc.) (68Q10)

Related Items (9)

Self-assembly of 4-sided fractals in the two-handed tile assembly model ⋮ Hierarchical self-assembly of fractals with signal-passing tiles ⋮ Tight bounds for active self-assembly using an insertion primitive ⋮ Parallel computation using active self-assembly ⋮ Self-assembly of 3-D structures using 2-D folding tiles ⋮ Hierarchical growth is necessary and (sometimes) sufficient to self-assemble discrete self-similar fractals ⋮ Traversal Languages Capturing Isomorphism Classes of Sierpiński Gaskets ⋮ Activatable tiles for compact robust programmable molecular assembly and other applications ⋮ An introduction to tile-based self-assembly and a survey of recent results

Cites Work

• Strict self-assembly of discrete Sierpinski triangles
• Matching rules and substitution tilings
• Deceptions in quasicrystal growth
• Undecidability and nonperiodicity for tilings of the plane
• Hierarchical self assembly of patterns from the Robinson tilings: DNA tile design in an enhanced tile assembly model

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