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In this work we consider the inverse problem of finding guiding pattern shapes that result in desired self-assembly morphologies of block copolymer melts. Specifically, we model polymer self-assembly using Self-Consistent Field Theory and…

Soft Condensed Matter · Physics 2021-12-20 Daniil Bochkov , Frederic Gibou

This article reviews recent inverse statistical-mechanical methodologies that we have devised to optimize interaction potentials in soft matter systems that correspond to stable "target" structures. We are interested in finding the…

Soft Condensed Matter · Physics 2008-11-05 Salvatore Torquato

Assembly planning is the core of automating product assembly, maintenance, and recycling for modern industrial manufacturing. Despite its importance and long history of research, planning for mechanical assemblies when given the final…

Robotics · Computer Science 2022-11-09 Yunsheng Tian , Jie Xu , Yichen Li , Jieliang Luo , Shinjiro Sueda , Hui Li , Karl D. D. Willis , Wojciech Matusik

We study the power of uncontrolled random molecular movement in the nubot model of self-assembly. The nubot model is an asynchronous nondeterministic cellular automaton augmented with rigid-body movement rules (push/pull, deterministically…

Data Structures and Algorithms · Computer Science 2014-09-18 Ho-Lin Chen , David Doty , Dhiraj Holden , Chris Thachuk , Damien Woods , Chun-Tao Yang

We consider the construction of point processes from tilings, with equal volume tiles, of d-dimensional Euclidean space. We show that one can generate, with simple algorithms ascribing one or more points to each tile, point processes which…

Statistical Mechanics · Physics 2009-11-13 Andrea Gabrielli , Michael Joyce , Salvatore Torquato

Aggregating base elements into rigid objects such as furniture or sculptures is a great way for designers to convey a specific look and feel. Unfortunately, there is no existing solution to help model structurally sound aggregates. The…

Graphics · Computer Science 2018-11-08 Jérémie Dumas , Jonàs Martínez , Sylvain Lefebvre , Li-Yi Wei

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

We propose a mathematical model of DNA self-assembly using 2D tiles to form 3D nanostructures. This is the first work to combine studies in self-assembly and nanotechnology in 3D, just as Rothemund and Winfree did in the 2D case. Our model…

Computational Complexity · Computer Science 2007-05-23 Ming-Yang Kao , Vijay Ramachandran

Shape assembly composes complex shapes geometries by arranging simple part geometries and has wide applications in autonomous robotic assembly and CAD modeling. Existing works focus on geometry reasoning and neglect the actual physical…

Computer Vision and Pattern Recognition · Computer Science 2023-03-14 Yichen Li , Kaichun Mo , Yueqi Duan , He Wang , Jiequan Zhang , Lin Shao , Wojciech Matusik , Leonidas Guibas

In this paper we explore the power of geometry to overcome the limitations of non-cooperative self-assembly. We define a generalization of the abstract Tile Assembly Model (aTAM), such that a tile system consists of a collection of…

Emerging Technologies · Computer Science 2014-08-20 Sándor P. Fekete , Jacob Hendricks , Matthew J. Patitz , Trent A. Rogers , Robert T. Schweller

Self-assembly is the mechanism that controls the formation of well defined structures from disordered pre-existing parts. Despite the importance of self-assembly as a manufacturing method and the increasingly large number of experimental…

Soft Condensed Matter · Physics 2007-08-15 Emanuela Bianchi , Emilia La Nave , Piero Tartaglia , Francesco Sciortino

Individualized manufacturing is becoming an important approach as a means to fulfill increasingly diverse and specific consumer requirements and expectations. While there are various solutions to the implementation of the manufacturing…

Robotics · Computer Science 2020-02-20 Caterina Neef , Dario Luipers , Jan Bollenbacher , Christian Gebel , Anja Richert

Simulating object dynamics from real-world perception shows great promise for digital twins and robotic manipulation but often demands labor-intensive measurements and expertise. We present a fully automated Real2Sim pipeline that generates…

Robotics · Computer Science 2025-04-02 Nicholas Pfaff , Evelyn Fu , Jeremy Binagia , Phillip Isola , Russ Tedrake

Interaction between dipolar forces, such as permanent magnets, generally leads to the formation of one-dimensional chains and rings. We investigated whether it was possible to let dipoles self-assemble into three-dimensional structures by…

Applied Physics · Physics 2020-05-12 Leon Abelmann , Tijmen Hageman , Per Löthman , Massimo Mastrangeli , Miko Elwenspoek

Winfree (1998) showed that discrete Sierpinski triangles can self-assemble in the Tile Assembly Model. A striking molecular realization of this self-assembly, using DNA tiles a few nanometers long and verifying the results by atomic-force…

Discrete Mathematics · Computer Science 2009-03-11 James I. Lathrop , Jack H. Lutz , Scott M. Summers

Isotropic pairwise interactions that promote the self assembly of complex particle morphologies have been discovered by inverse design strategies derived from the molecular coarse-graining literature. While such approaches provide an avenue…

Statistical Mechanics · Physics 2019-10-15 Beth A. Lindquist , Ryan B. Jadrich , Michael P. Howard , Thomas M. Truskett

Hybrid manufacturing (HM) technologies combine additive and subtractive manufacturing (AM/SM) capabilities in multi-modal process plans that leverage the strengths of each. Despite the growing interest in HM technologies, software tools for…

Computational Geometry · Computer Science 2022-06-06 George P. Harabin , Morad Behandish

The self-assembly of particles into organized structures is a key feature of living organisms and a major engineering challenge. While it may proceed through the binding of perfectly matched, puzzle-pieces-like particles, many other…

Soft Condensed Matter · Physics 2024-04-08 Hugo Le Roy , M. Mert Terzi , Martin lenz

Spontaneous self-assembly in molecular systems is a fundamental route to both biological and engineered soft matter. Simple micellisation, emulsion formation, and polymer mixing principles are well understood. However, the principles behind…

Soft Condensed Matter · Physics 2021-09-21 Alberto Scacchi , Sousa Javan Nikkhah , Maria Sammalkorpi , Tapio Ala-Nissila

Most existing 3D assembly methods treat the problem as pure pose estimation, rearranging observed parts via rigid transformations. In contrast, human assembly naturally couples structural reasoning with holistic shape inference. Inspired by…

Computer Vision and Pattern Recognition · Computer Science 2026-02-27 Zeyu Jiang , Sihang Li , Siqi Tan , Chenyang Xu , Juexiao Zhang , Julia Galway-Witham , Xue Wang , Scott A. Williams , Radu Iovita , Chen Feng , Jing Zhang