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  • File:Temp1 deterministic3d probablistic2d.pdf
    Temperature 1 Self-Assembly:
    (1.34 MB) - 14:10, 23 January 2012
  • [[Category:Self-assembly]]
    12 members (0 subcategories, 0 files) - 17:56, 20 May 2013
  • [[Category:Self-assembly]]
    7 members (0 subcategories, 0 files) - 14:13, 11 June 2013
  • [[Category:Self-assembly]]
    1 KB (188 words) - 15:21, 27 May 2014
  • |title=Self-Assembly of Infinite Structures: A Survey |abstract=We survey some recent results related to the self-assembly of infinite structures in
    \(1 bytes (89 words) - 13:13, 22 June 2021
  • [[Category:Self-assembly]]
    \(1 bytes (98 words) - 11:13, 15 July 2016
  • [[Category:Self-assembly]]
    2 KB (311 words) - 11:55, 8 July 2019
  • |title=Self-Assembly of Discrete Self-Similar Fractals techniques to work around such limitations. Specifically, we investigate the self-assembly of fractal shapes
    1 KB (141 words) - 12:46, 22 June 2021
  • Essentially, strict self-assembly means that tiles are only placed ...Note that if $X \in \mathbb{Z}^2$ strictly self-assembles, then $X$ [[Weak Self-Assembly | weakly
    \(1 bytes (95 words) - 15:20, 27 May 2014
  • [[Category:Self-assembly]]
    \(1 bytes (41 words) - 15:20, 27 May 2014
  • |title=Simulation of Self-Assembly in the Abstract Tile Assembly Model with ISU TAS an abstract model for tile based self-assembly, it has proven to be remarkably powerful and expressive in terms of the str
    1 KB (194 words) - 12:49, 22 June 2021
  • The kinetic Slat Assembly Model is a more physically realistic model of the self-assembly of slats as defined in the [[Abstract Slat Assembly Model (aSAM)]]. It is b [[Category:Self-assembly]]
    \(1 bytes (151 words) - 20:40, 26 April 2023
  • |title=Self-Assembly of Decidable Sets self-assembly. Finally, we show that our characterization is robust with respect to vario
    \(1 bytes (118 words) - 12:46, 22 June 2021
  • |title=Limitations of Self-Assembly at Temperature 1 the case of temperature 2 self-assembly, no discrete self-similar fractal weakly self-assembles at
    1 KB (144 words) - 13:14, 22 June 2021
  • [[Category:Self-assembly]]
    \(1 bytes (13 words) - 12:52, 1 July 2019
  • The notion of simulation in self-assembly has been well studied and gives us a notion of the power of systems relativ [[Category:Self-assembly]]
    3 members (0 subcategories, 0 files) - 11:28, 27 May 2014
  • |title=Intrinsic Universality in Self-Assembly ...Winfree, and of Demaine et al.) in that we simulate the actual process of self-assembly, not just the end result, as in Soloveichik and Winfree’s construction, a
    2 KB (300 words) - 13:06, 22 June 2021
  • ...lated to DNA or other nano-scale structures that has been used in previous self-assembly research or is of possible interest in future work. [[Category:self-assembly]]
    1 member (0 subcategories, 0 files) - 01:10, 27 November 2011
  • ...self-assembly does not imply the ability to simulate arbitrary algorithmic self-assembly processes. |file=[http://arxiv.org/abs/1304.1679 Intrinsic universality in tile self-assembly requires cooperation]
    2 KB (231 words) - 12:32, 22 June 2021
  • \(1 bytes (39 words) - 15:20, 8 August 2013
  • |title=Identifying Shapes Using Self-Assembly ...lgorithmic 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
    \(1 bytes (108 words) - 12:29, 22 June 2021
  • ...ease see [[Main_Page#Getting_Started_in_Self-assembly | Getting Started in Self-assembly]]. ...ld like to help contribute in any way, please email Matt Patitz at mpatitz@self-assembly.net.
    \(1 bytes (75 words) - 14:33, 27 May 2014
  • [[Category:Self-assembly]]
    \(1 bytes (31 words) - 15:37, 27 May 2014
  • Essentially, weak self-assembly can be thought of [[Strict Self-Assembly]]
    \(1 bytes (88 words) - 15:22, 27 May 2014
  • Since self-assembly is a new and emerging field, the terminology associated with the field is f [[Category:Self-assembly]]
    18 members (0 subcategories, 0 files) - 13:49, 21 May 2013
  • ...ile assembly system T. The simulation is "intrinsic" in the sense that the self-assembly process carried out by U is exactly that carried out by T, with each tile o ...f the simulated system T. At each location of a potential supertile in the self-assembly of U, a decision is made whether and how to express this genome, i.e., whet
    1 KB (228 words) - 12:58, 22 June 2021
  • |abstract=Formalized study of self-assembly has led to the definition of the tile assembly model, a highly distributed
    3 KB (412 words) - 10:07, 14 June 2022
  • File:Counter-6x6.png
    (1,156 × 964 (32 KB)) - 10:22, 1 June 2013
  • [[Category:Self-assembly]]
    \(1 bytes (103 words) - 15:19, 27 May 2014
  • [[Category:Self-assembly]] title = "Self-Assembly with Geometric Tiles",
    2 KB (285 words) - 14:06, 2 July 2019
  • ...hat this pattern cannot self-assemble within a number of well studied tile self-assembly models. |file=[http://arxiv.org/abs/1202.5012 Asynchronous Signal Passing for Tile Self-Assembly: Fuel Efficient Computation and Efficient Assembly of Shapes]
    2 KB (357 words) - 12:19, 22 June 2021
  • [[Category:Self-assembly]]
    2 KB (273 words) - 14:44, 28 July 2016
  • ...ppeared. In [[Automated self-assembly programming paradigm]] Lin Li uses a self-assembly algorithm combined with genetic algorithms to generate the code for inserti In the same year Yuriy Brun in his thesis [[Self-assembly for discreet, fault-tolerant and scalable computation on internet-sized dis
    \(1 bytes (127 words) - 11:59, 27 May 2014
  • ...evious stage supply each bin with input assemblies. The output of a staged self-assembly system is the set of assemblies produced in the bins of the final stage. <r | caption2 = The summary of results from the Optimal Staged Self-Assembly paper.
    2 KB (232 words) - 10:51, 25 July 2016
  • ...nd molecular computing, and the plausibility of implementing 3 dimensional self-assembly systems, our techniques may provide the needed power of temperature 2 syste |file=[[Media:Temp1 deterministic3d probablistic2d.pdf | Temperature 1 Self-Assembly: Deterministic Assembly in 3D and Probabilistic Assembly in 2D.pdf]]
    2 KB (264 words) - 13:46, 22 June 2021
  • ...ere's a solution: double check, triple check, quadruple check. In DNA tile self-assembly theory, there is a natural way to do this, using proofreading tile sets. He ...Increasing Redundancy Exponentially Reduces Error Rates during Algorithmic Self-Assembly.pdf]
    \(1 bytes (108 words) - 13:05, 22 June 2021
  • ...class of shapes whose study has proven fruitful in the development of new self-assembly systems. |file=[[media:RandSAICALP.pdf | Randomized Self-Assembly for Approximate Shapes.pdf]]
    1 KB (210 words) - 13:10, 22 June 2021
  • ...orming "covert computation" within tile self-assembly that seeks to design self-assembly systems that "conceal" both the input and computational history of performe
    2 KB (214 words) - 10:19, 14 June 2022
  • ...onal (but local) rules. The latter are considered examples of algorithmic self-assembly, since by following computational rules as they combine, the self-assemblin ...at least for mildly computationally complex algorithms). Another model of self-assembly which is non-algorithmic is [[DNA origami]].
    1 KB (175 words) - 12:09, 16 June 2016
  • [[Category:Self-assembly]]
    \(1 bytes (138 words) - 12:11, 8 July 2019
  • |title=Creating Algorithmic Self-Assembly of DNA Sierpinski Triangles ...lementation of arbitrary cellular automata. This shows that engineered DNA self-assembly can be treated as a Turing-universal biomolecular system, capable of implem
    2 KB (204 words) - 12:13, 22 June 2021
  • self-assembly process. We observe that the DNA structures
    1 KB (143 words) - 20:24, 22 June 2022
  • [[Category:Self-assembly]]
    3 KB (431 words) - 12:40, 18 July 2022
  • ...umber of tiles, can be engineered. Under this assumption, traditional tile self-assembly cannot even manufacture an $n \times n$ square; in contrast, we show how st |file=[[media:NaturalComputing.pdf | Staged Self-Assembly: Nanomanufacture of Arbitrary Shapes with O(1) Glues.pdf]]
    1 KB (170 words) - 12:51, 22 June 2021
  • This collection of slides was used for a course on self-assembly given by Scott and is an amazing and very comprehensive set of slides for l [http://self-assembly.net/ssummers/slides/Notes_on_2HAM.ppt 2HAM Notes] <br />
    3 KB (394 words) - 11:35, 13 June 2015
  • ...cale factor 2. This greatly improves previous shape replication results in self-assembly that required models in which multiple assembly stages and/or bins were req ...xiv.org/pdf/1503.01244v1.pdf Replication of arbitrary hole-free shapes via self-assembly with signal-passing tiles (extended abstract).pdf]
    \(1 bytes (145 words) - 12:43, 22 June 2021
  • ...(i.e., glue functions must be "diagonal"). We call this abstract model of self-assembly the <i>restricted glue</i> Tile Assembly Model (rgTAM). We achieve two posi
    2 KB (290 words) - 13:35, 22 June 2021
  • |title=Automated self-assembly programming paradigm |abstract=Self-assembly is a ubiquitous process in nature in which a disordered set of components
    3 KB (369 words) - 00:34, 21 April 2012
  • [[Category:Self-assembly]]
    1 KB (164 words) - 15:39, 26 June 2022
  • [[Category:Self-assembly]]
    \(1 bytes (137 words) - 15:19, 27 May 2014
  • |abstract=We first give an introduction to the field of tile-based self-assembly, focusing primarily on theoretical models and their algorithmic nature. We ....net/mpatitz/papers/Self-assembly-survey.pdf An Introduction to Tile-Based Self-Assembly and a Survey of Recent Results.pdf]
    1 KB (216 words) - 13:01, 22 June 2021
  • [[Category:Self-assembly]] ...improvement over the tile complexity of existing models for thin rectangle self-assembly <ref name=kari2019simplifying/>.
    2 KB (359 words) - 21:51, 29 July 2019
  • [[Category:Self-assembly]]
    1 KB (192 words) - 15:39, 27 May 2014
  • \(1 bytes (80 words) - 13:52, 27 May 2014
  • ...ntly than high concentration species) then the parallelism of hierarchical self-assembly provides no advantage at all (caveat, caveat). If you want to build large c ....edu/Papers/hierarchical_SODA2012.pdf Parallelism and Time in Hierarchical Self-Assembly.pdf]
    \(1 bytes (139 words) - 13:09, 22 June 2021
  • ...emperature of a tile system is dynamically adjusted by the experimenter as self-assembly proceeds. This allows sections of assemblies that are bound with less stren ...the multiple temperature model has a similar flavor to that of the staged self-assembly model in the sense that the input to a tile system in both models can be en
    2 KB (259 words) - 10:38, 25 July 2016
  • File:Sierpinski-growth-error1.png
    (1,348 × 772 (29 KB)) - 11:54, 22 May 2013
  • File:Sierpinski-facet-error1.png
    (1,348 × 772 (30 KB)) - 18:40, 30 May 2013
  • ...bjects exponentially faster and more compactly than can be done by passive self-assembly systems such as tile assembly. |file=[http://www.dna.caltech.edu/Papers/nubotsITCS2013.pdf Active Self-Assembly of Algorithmic Shapes and Patterns in Polylogarithmic Time.pdf]
    1 KB (189 words) - 13:01, 22 June 2021
  • File:CGM siam.pdf
    Paper: Complexities for Generalized Models of Self-Assembly
    (481 KB) - 16:49, 24 January 2012
  • \(1 bytes (7 words) - 21:30, 21 May 2013
  • \(1 bytes (7 words) - 21:35, 21 May 2013
  • [[Category:Self-assembly]]
    6 members (0 subcategories, 0 files) - 11:11, 11 July 2013
  • File:Grid2-Pattern-Self-Assembly.png
    (1,800 × 1,799 (137 KB)) - 20:26, 3 March 2024
  • http://www.self-assembly.net/mpatitz/software/TileSetDesigner.zip |Download=[http://www.self-assembly.net/mpatitz/software/TileSetDesigner.zip]
    1 KB (178 words) - 13:44, 27 May 2014
  • ...or the negative y-axis, depending on the command line arguments used. See "Self-Assembly of Decidable Sets" by Patitz and Summers for a detailed description.
    \(1 bytes (126 words) - 13:12, 28 August 2013
  • ...Our improved time is achieved by demonstrating a set of tiles for parallel self-assembly of binary counters. Our improved program size is achieved by demonstrating ...for computation. In addition the development of a computational theory of self-assembly promises to provide a new conduit by which results and methods of theoretic
    1 KB (226 words) - 12:44, 22 June 2021
  • title = {Parallelism and Time in Hierarchical Self-Assembly}, [[Category:Self-assembly]]
    1 KB (173 words) - 15:58, 27 May 2014
  • ** Category:self-assembly|Topics in self-assembly
    \(1 bytes (47 words) - 14:28, 27 July 2016
  • File:Four xor gate tiles.png
    (485 × 495 (17 KB)) - 14:18, 5 June 2013
  • File:UniversalShapeReplicationViaSignalPassingTileAssembly.pdf
    Paper Title: "Universal Shape Replication Via Self-Assembly With Signal-Passing Tiles"
    (5.4 MB) - 11:28, 10 June 2022
  • |abstract=Theories of the logic and kinetics of algorithmic self-assembly make many idealizations that eliminate complexities and clarify essential i ...Design2013.pdf DNA Sticky End Design and Assignment for Robust Algorithmic Self-assembly.pdf]
    \(1 bytes (114 words) - 13:05, 22 June 2021
  • ...h have been, and continue to be, good venues for publishing and discussing self-assembly research (particularly theoretical work). The majority of these conference ...eat venues for presenting and discussing both theoretical and experimental self-assembly.
    \(1 bytes (141 words) - 15:25, 14 June 2015
  • |abstract=The field of algorithmic self-assembly is concerned with the computational and expressive power of nanoscale se
    2 KB (341 words) - 12:55, 22 June 2021
  • File:Baggins-expressions.zip
    Code samples for the paper "noncooperative algorithms in self-assembly" (Pierre-Étienne Meunier).
    (4 KB) - 14:35, 12 June 2014
  • File:Sierpinski hham.PNG
    (804 × 470 (79 KB)) - 20:05, 15 July 2019
  • \(1 bytes (120 words) - 12:13, 28 August 2013
  • ...e to perform complex computations or algorithmically direct the process of self-assembly. Nonetheless, a variety of models based on slight modifications to the aTAM |file=[http://arxiv.org/abs/1403.3841 Doubles and Negatives are Positive (in Self-Assembly)]
    2 KB (307 words) - 12:28, 22 June 2021
  • ...ure change can constitute a natural, dynamic method for providing input to self-assembly systems that is potentially superior to the current technique of designing ...f-AssemblyThroughTemperatureProgramming.pdf | Reducing Tile Complexity for Self-Assembly Through Temperature Programming.pdf]]
    2 KB (255 words) - 12:39, 22 June 2021
  • [[Category:Self-assembly]]
    2 KB (264 words) - 16:04, 27 May 2014
  • |abstract=In this paper we explore the power of tile self-assembly models that extend the well-studied abstract Tile Assembly Model (aTAM) by
    2 KB (258 words) - 12:35, 22 June 2021
  • |file=[http://www.self-assembly.net/mpatitz/papers/dslptam.pdf A Domain-Specific Language for Programming i
    \(1 bytes (148 words) - 13:01, 22 June 2021
  • |title=Computability and Complexity in Self-Assembly of nanoscale self-assembly. We work in the two-dimensional tile assembly model, i.e., in the discrete
    1 KB (196 words) - 13:29, 22 June 2021
  • ...ed in the standard aTAM for Turing universal computation and the efficient self-assembly of shapes, but we show that in the DaTAM these behaviors can in fact be exh |file=[http://arxiv.org/abs/1402.4515 The Power of Duples(in Self-Assembly): It's Not So Hip To Be Square]
    2 KB (259 words) - 12:56, 22 June 2021
  • |abstract=In this paper we explore the power of tile self-assembly models that extend the well-studied abstract Tile Assembly Model (aTAM) by
    2 KB (262 words) - 12:36, 22 June 2021
  • ...pers/multnucl-dna16.pdf Resiliency to Multiple Nucleation in Temperature~1 Self-Assembly.pdf]
    1 KB (211 words) - 13:42, 22 June 2021
  • title = {Parallelism and Time in Hierarchical Self-Assembly}, [[Category:Self-assembly]]
    2 KB (333 words) - 15:16, 27 May 2014
  • File:Infinite-assembly-0110010010101-marked.png
    (474 × 473 (20 KB)) - 16:15, 3 March 2024
  • [[Category:Self-assembly]] title = "Theory of Algorithmic Self-Assembly",
    3 KB (479 words) - 14:22, 17 June 2019
  • [[Category:Self-assembly]]
    12 members (0 subcategories, 0 files) - 10:18, 11 July 2013
  • 2 KB (286 words) - 12:58, 22 June 2021
  • ...ility of structures. In this paper, we present a new mathematical model of self-assembly, based on the abstract Tile Assembly Model (aTAM), called the Flexible Tile
    2 KB (270 words) - 13:26, 25 July 2019
  • File:Infinite-assembly-high-level.png
    (405 × 405 (3 KB)) - 16:17, 3 March 2024
  • [[Category:Self-assembly]]
    \(1 bytes (13 words) - 14:51, 28 July 2016
  • |title=Self-Assembly with Geometric Tiles |file=[http://arxiv.org/abs/1104.2809 Self-Assembly with Geometric Tiles]
    2 KB (258 words) - 12:47, 22 June 2021
  • title = "Combinatorial optimization problems in self-assembly", title = "Complexities for Generalized Models of Self-Assembly",
    2 KB (341 words) - 15:17, 27 May 2014
  • |title=Strong Fault-Tolerance for Self-Assembly with Fuzzy Temperature |abstract=We consider the problem of fault-tolerance in nanoscale algorithmic self-assembly. We employ
    3 KB (444 words) - 12:51, 22 June 2021
  • ...d structural properties, and by utilizing the bottom-up growth paradigm of self-assembly to create them we not only learn important techniques for building such com |file=[http://arxiv.org/pdf/1606.01856v1 Hierarchical Self-Assembly of Fractals with Signal-Passing Tiles]
    1 KB (163 words) - 12:29, 22 June 2021
  • [[Category:Self-assembly]] title = "The Power of Duples (in Self-Assembly): It's Not So Hip To Be Square",
    3 KB (496 words) - 14:06, 31 May 2019
  • ...aining relevant sub-categories of interest within the field of algorithmic self-assembly.
    95 members (7 subcategories, 0 files) - 01:02, 27 November 2011

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