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We study the self-assembly behaviour of patchy particles with `protein-like' interactions that can be considered as a minimal model for the assembly of viral capsids and other shell-like protein complexes. We thoroughly explore the…

Soft Condensed Matter · Physics 2010-01-21 Alex W. Wilber , Jonathan P. K. Doye , Ard A. Louis , Anna C. F. Lewis

The Tile Assembly Model is a Turing universal model that Winfree introduced in order to study the nanoscale self-assembly of complex (typically aperiodic) DNA crystals. Winfree exhibited a self-assembly that tiles the first quadrant of the…

Computational Complexity · Computer Science 2015-05-18 Jack H. Lutz , Brad Shutters

Although digital fabrication processes at the desktop scale have become proficient and prolific, systems aimed at producing larger-scale structures are still typically complex, expensive, and unreliable. In this work, we present an approach…

Robotics · Computer Science 2025-10-16 Miana Smith , Paul Arthur Richard , Alexander Htet Kyaw , Neil Gershenfeld

The number of stable macroscopic organizations in complex systems is often much smaller than the large number of microscopic degrees of freedom would suggest. Yet theoretical approaches rarely address whether general limits constrain the…

Physics and Society · Physics 2026-03-20 Arturo Tozzi

We face a need of discovering a pattern in locations of a great number of points in a high-dimensional space. Goal is to group the close points together. We are interested in a hierarchical structure, like a B-tree. B-Trees are…

Data Structures and Algorithms · Computer Science 2016-07-19 Victor Sadikov , Oliver Rutishauser

In this study, a variational method for the inverse problem of self-assembly, i.e., a reconstruction of the interparticle interaction potential of a given structure, is applied to three-dimensional crystals. According to the method, the…

Soft Condensed Matter · Physics 2021-01-22 Masashi Torikai

We present a strict separation between the class of "mismatch free" self-assembly systems and general aTAM systems. Mismatch free systems are those systems in which concurrently grown parts must always agree with each other. Tile…

Computational Geometry · Computer Science 2015-02-20 Florent Becker , Pierre-Étienne Meunier

The application of the Shannon entropy to study the relationship between information and structures has yielded insights into molecular and material systems. However, the difficulty in directly observing and manipulating atoms and molecules…

Cognitive maps play a crucial role in facilitating flexible behaviour by representing spatial and conceptual relationships within an environment. The ability to learn and infer the underlying structure of the environment is crucial for…

Artificial Intelligence · Computer Science 2023-06-26 Daria de Tinguy , Toon Van de Maele , Tim Verbelen , Bart Dhoedt

Using Monte Carlo simulations, we investigate the self-assembly of model nanoparticles inside a matrix of model equilibrium polymers (or matrix of Wormlike micelles) as a function of the polymeric matrix density and the excluded volume…

Soft Condensed Matter · Physics 2018-04-03 Sk. Mubeena , Apratim Chatterji

Hierarchical materials in the natural world are often made through the self-assembly of amphiphilic molecules. Achieving similar structural complexity in synthetic materials requires understanding how various molecular parameters affect…

In this paper, we study the response of 2D framed structures made of rectangular cells, to the sudden removal of columns. We employ a simulation algorithm based on the Discrete Element Method, where the structural elements are represented…

Soft Condensed Matter · Physics 2015-09-08 Enrico Masoero , Falk K. Wittel , Hans J. Herrmann , B. M. Chiaia

Formation of highly ordered structures usually needs to overcome a high free-energy barrier that is greatly beyond the ability of thermodynamic fluctuation, such that the system would be easily trapped into a state with many defects and the…

Materials Science · Physics 2020-01-08 Yunfei Du , Huijun Jiang , Zhonghuai Hou

Polymer matrix composites exhibit remarkable lightweight and high strength properties that make them attractive for aerospace applications. Constituents' materials such as advanced polymers and fibers or fillers with their hierarchical…

Materials Science · Physics 2021-12-03 Satyajit Mojumder , Lei Tao , Ying Li , Wing Kam Liu

Many remarkably robust, rapid and spontaneous self-assembly phenomena in nature can be modeled geometrically starting from a collection of rigid bunches of spheres. This paper highlights the role of symmetry in sphere-based assembly…

Combinatorics · Mathematics 2016-03-15 Meera Sitharam , Andrew Vince , Menghan Wang , Miklos Bona

This paper addresses the structure-and-motion problem, that requires to find camera motion and 3D struc- ture from point matches. A new pipeline, dubbed Samantha, is presented, that departs from the prevailing sequential paradigm and…

Computer Vision and Pattern Recognition · Computer Science 2015-10-30 Roberto Toldo , Riccardo Gherardi , Michela Farenzena , Andrea Fusiello

The efficient and controlled assembly of complex structures from macromolecular building blocks is a critical open question in both biological systems and nanoscience. Using molecular dynamics simulations we study the self-assembly of…

Soft Condensed Matter · Physics 2014-06-10 Shengfeng Cheng , Mark J. Stevens

Polypeptides can self-assemble into hierarchically organized fibrils consisting of a stack of individually folded polypeptides driven together by hydrophobic interaction. Using a coarse grained model, we systematically studied this…

Soft Condensed Matter · Physics 2013-07-31 Ran Ni , Sanne Abeln , Marieke Schor , Martien A. Cohen Stuart , Peter G. Bolhuis

In this paper we introduce a new method to design interparticle interactions to target arbitrary crystal structures via the process of self-assembly. We show that it is possible to exploit the curvature of the crystal nucleation free-energy…

Soft Condensed Matter · Physics 2010-12-21 William L. Miller , Angelo Cacciuto

Real complex systems are not rigidly structured; no clear rules or blueprints exist for their construction. Yet, amidst their apparent randomness, complex structural properties universally emerge. We propose that an important class of…