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We show the first non-trivial positive algorithmic results (i.e. programs whose output is larger than their size), in a model of self-assembly that has so far resisted many attempts of formal analysis or programming: the planar…

Computational Geometry · Computer Science 2014-07-11 Pierre-Étienne Meunier

Programmable Matter (PM) has been widely investigated in recent years. It refers to some kind of matter with the ability to change its physical properties (e.g., shape or color) in a programmable way. One reference model is certainly…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-01 Alfredo Navarra , Francesco Piselli

We present the design, characterization, and experimental results for a new modular robotic system for programmable self-assembly. The proposed system uses the Hybrid Cube Model (HCM), which integrates classical features from both…

Robotics · Computer Science 2019-12-24 Usman A. Fiaz , Jeff S. Shamma

Self-assembly is a phenomenon observed in nature at all scales where autonomous entities build complex structures, without external influences nor centralised master plan. Modelling such entities and programming correct interactions among…

Computational Complexity · Computer Science 2013-09-26 German Terrazas , Hector Zenil , Natalio Krasnogor

We investigate the role of nondeterminism in Winfree's abstract Tile Assembly Model (aTAM), which was conceived to model artificial molecular self-assembling systems constructed from DNA. Of particular practical importance is to find tile…

Computational Complexity · Computer Science 2010-11-29 Nathaniel Bryans , Ehsan Chiniforooshan , David Doty , Lila Kari , Shinnosuke Seki

As a mathematical model of self-assembling systems, Winfree's abstract Tile Assembly Model (aTAM) is a remarkable platform for studying the behaviors and powers of self-assembling systems. Capable of Turing universal computation, the aTAM…

Computational Geometry · Computer Science 2016-08-11 Jacob Hendricks , Matthew J. Patitz , Trent A. Rogers

Many forms of programmable matter have been proposed for various tasks. We use an abstract model of self-organizing particle systems for programmable matter which could be used for a variety of applications, including smart paint and…

Emerging Technologies · Computer Science 2017-10-24 Alexandra Porter , Andréa W. Richa

Programmable matter (PM) is a form of matter capable of dynamically altering its physical properties, such as shape or density, through programmable means. From a robotics perspective, PM can be realized as a distributed system consisting…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-10 Yonghwan Kim , Yoshiaki Katayama , Koichi Wada

Active matter physics and swarm robotics have provided powerful tools for the study and control of ensembles driven by internal sources. At the macroscale, controlling swarms typically utilizes significant memory, processing power, and…

Both biological and artificial self-assembly processes can take place by a range of different schemes, from the successive addition of identical building blocks, to hierarchical sequences of intermediates, all the way to the fully…

Soft Condensed Matter · Physics 2015-08-12 Jim Madge , Mark A. Miller

We present an active tile assembly model which extends Winfree's abstract tile assembly model to tiles that are capable of transmitting and receiving binding site activation signals. In addition, we introduce a mathematical framework to…

Emerging Technologies · Computer Science 2012-11-14 Natasha Jonoska , Daria Karpenko

Tile assembly systems in the abstract Tile Assembly Model (aTAM) are computationally universal and capable of building complex shapes, but DNA-based implementations encounter formidable error rates that stifle this theoretical potential.…

Computational Geometry · Computer Science 2024-05-13 Phillip Drake , Daniel Hader , Matthew J. Patitz

In this paper we define the Dupled abstract Tile Assembly Model (DaTAM), which is a slight extension to the abstract Tile Assembly Model (aTAM) that allows for not only the standard square tiles, but also "duple" tiles which are rectangles…

Emerging Technologies · Computer Science 2014-03-10 Jacob Hendricks , Matthew J. Patitz , Trent A. Rogers , Scott M. Summers

Part assembly is a typical but challenging task in robotics, where robots assemble a set of individual parts into a complete shape. In this paper, we develop a robotic assembly simulation environment for furniture assembly. We formulate the…

Robotics · Computer Science 2021-12-21 Mingxin Yu , Lin Shao , Zhehuan Chen , Tianhao Wu , Qingnan Fan , Kaichun Mo , Hao Dong

The term active matter describes diverse systems, spanning macroscopic (e.g. shoals of fish and flocks of birds) to microscopic scales (e.g. migrating cells, motile bacteria and gels formed through the interaction of nanoscale molecular…

Soft Condensed Matter · Physics 2010-03-11 Gautam I. Menon

Tile-based self-assembly systems are capable of universal computation and algorithmically-directed growth. Systems capable of such behavior typically make use of "glue cooperation" in which the glues on at least $2$ sides of a tile must…

Emerging Technologies · Computer Science 2019-03-15 Daniel Hader , Matthew J. Patitz

In systems of active programmable matter, individual modules require a constant supply of energy to participate in the system's collective behavior. These systems are often powered by an external energy source accessible by at least one…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-21 Joshua J. Daymude , Andréa W. Richa , Jamison W. Weber

Sequence-directed assembly processes - such as protein folding - allow the assembly of a large number of structures with high accuracy from only a small handful of fundamental building blocks. We aim to explore how efficiently sequence…

Biological Physics · Physics 2025-03-14 Jeremy Guntoro , Thomas Ouldridge

A challenge of molecular self-assembly is to understand how to design particles that self-assemble into a desired structure and not any of a potentially large number of undesired structures. Here we use simulation to show that a strategy of…

Statistical Mechanics · Physics 2017-02-27 Stephen Whitelam

We introduce staged self-assembly of Wang tiles, where tiles can be added dynamically in sequence and where intermediate constructions can be stored for later mixing. This model and its various constraints and performance measures are…

Computational Geometry · Computer Science 2008-03-04 Erik D. Demaine , Martin L. Demaine , Sandor P. Fekete , Mashhood Ishaque , Eynat Rafalin , Robert T. Schweller , Diane Souvaine