The DOI matches its Crossref record; 21 of the 22 references it cites were found in a registry or an index.
Programmable self-assembly in a thousand-robot swarm
Abstract
Large-scale robotic self-assembly: When individuals swarm, they must somehow communicate to direct collective motion. Swarms of robots need to deal with outliers, such as robots that move more slowly than the rest. Rubenstein et al. created a large swarm of programmed robots that can form collaborations using only local information. The robots could communicate only with nearby members, within about three times their diameter. They were able to assemble into complex preprogrammed shapes. If the robots' formation hit snags when they bumped into one another or because of an outlier, additional algorithms guided them to rectify their collective movements. Science , this issue p. 795
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Cites
Whitesides, G. M., & Grzybowski, B. A. (2002) · Science · doi:10.1126/science.1070821 · Cited by 7,550
Folding DNA to create nanoscale shapes and patterns
Rothemund, P. W. K. (2006) · Nature · doi:10.1038/nature04586 · Cited by 7,474
Range-free localization schemes for large scale sensor networks
He, T., Huang, C., Blum, B. M., et al. (2003) · Proceedings of the 28th Annual International Conference on Mobile Computing And Networking · doi:10.1145/938985.938995 · Cited by 2,658
The Rotary Motor of Bacterial Flagella
Berg, H. C. (2003) · Annual Review of Biochemistry · doi:10.1146/annurev.biochem.72.121801.161737 · Cited by 1,437
Coordinating Hundreds of Cooperative, Autonomous Vehicles in Warehouses
Wurman, P. R., D'Andrea, R., & Mountz, M. (2007) · The AI Magazine · doi:10.1609/aimag.v29i1.2082 · Cited by 1,151
Organizing a Global Coordinate System from Local Information on an Ad Hoc Sensor Network
Nagpal, R., Shrobe, H. E., & Bachrach, J. (2003) · Lecture notes in computer science · doi:10.1007/3-540-36978-3_22 · Cited by 759
Self-citationCoordinating hundreds of cooperative, autonomous vehicles in warehouses
Wurman, P. R., & Mountz, M. (2008) · Cited by 566
The making of a fly; The genetics of animal design
(1992) · International Journal of Biochemistry · doi:10.1016/0020-711x(92)90084-e · Cited by 407
Autonomous Self-Assembly in Swarm-Bots
Groβ, R., Michael Bonani, C., Francesco Mondada, C., & Dorigo, M. (2006) · IEEE Transactions on Robotics · doi:10.1109/tro.2006.882919 · Cited by 351
Goldstein, S. C., Campbell, J. D., & Mowry, T. C. (2005) · Computer · doi:10.1109/mc.2005.198 · Cited by 327
Research works printed but not linked: 8
- S. Camazine et al . Self-Organization in Biological Systems (Princeton Univ. Press Princeton NJ 2003).
- M. Kirschner J. Gerhart The Plausibility of Life: Resolving Darwin’s Dilemma (Yale Univ. Press New Haven CT 2005).
- E. William G Mermoud A. Martinoli in Proceedings of the 2010 International Conference on Robotics and Automation (Anchorage AK May 2010) pp. 1438–1445.
- M. Rubenstein C. Ahler R. Nagpal in Proceedings of the 2012 IEEE International Conference on Robotics and Automation (St. Paul MN May 2012) pp. 3293–3298.
- P. Vartholomeos E. Papadopoulos in Proceedings of the 2006 IEEE International Conference on Robotics and Automation (Orlando FL May 2006) pp. 649–654.
- D. Moore J. Leonard D. Rus S. Teller in The 2nd International Conference on Embedded Networked Sensor Systems (Baltimore November 2004) pp. 50–61.
- J. Werfel Y. Bar-Yam D. Rus R. Nagpal in Proceedings of the 2006 IEEE International Conference on Robotics and Automation (Orlando FL May 2006) pp. 2787–2794.
- M. De Rosa S. Goldstein P. Lee J. Campbell P. Pillai in Proceedings of the 2006 IEEE International Conference on Robotics and Automation (Orlando FL May 2006) pp. 1462–1468.
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Alhafnawi, M., Hunt, E. R., Lemaignan, S., O’Dowd, P., & Hauert, S. (2022) · IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) · doi:10.1109/iros47612.2022.9981649 · Cited by 4
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BackgroundTransition from isotropic to polar state of self-driven eccentric disks
Wang, J., Xu, T.-L., He, J., et al. (2023) · Chinese Physics B · doi:10.1088/1674-1056/accd4d · Cited by 4
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“This implementation is based on the security architecture named TrustLite which in turn is built on a Siskiyou Peak [13] owned by Intel .”
MethodInfluentialTang, H., Zhang, H., Shi, Z., Chen, X., Ding, W., & Zhang, X.-P. S. (2023) · IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) · doi:10.1109/iros55552.2023.10341749 · Cited by 4
“The typical works include hand-crafted algorithms [11], [12], probabilistic finite state machines (PFSM) [13], differential equations [14], [15], statistical kinetic models [16], bio-inspired control models [17], [18], etc., and have achieved success in some specific tasks such as localization…”
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Study on silicon device of microrobot system for heterogeneous integration
Saito, K., Contreras, D. S., Takeshiro, Y., et al. (2018) · International Conference on Electronics Packaging and iMAPS All Asia Conference (ICEP-IAAC) · doi:10.23919/icep.2018.8374664 · Cited by 4
“Several microrobot systems from the micrometer to centimeter scale have been demonstrated [1-12].”
BackgroundHuGoS: A Multi-user Virtual Environment for Studying Human–Human Swarm Intelligence
Coucke, N., Heinrich, M. K., Axel Cleeremans, B., & Dorigo, M. (2020) · Lecture notes in computer science · doi:10.1007/978-3-030-60376-2_13 · Cited by 4
On Efficient Connectivity-Preserving Transformations in a Grid
Almethen, A., Michail, O., & Potapov, I. (2020) · Lecture notes in computer science · doi:10.1007/978-3-030-62401-9_6 · Cited by 4
“Thus, moving a line has to take place through the remaining configuration of nodes while at the same time ensuring that it does not break their and its own connectivity, including keeping itself connected to the rest of the shape.”
BackgroundAutonomous mobile robot with independent control and externally driven actuation
Wang, H., & Rubenstein, M. (2016) · IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) · doi:10.1109/iros.2016.7759537 · Cited by 4
“This greatly contributes to limiting the size of robotic swarms, currently on the order of 100-1000 robots [1]–[3].”
BackgroundSelf-citationPolymer filament–based in situ microrobot fabrication using magnetic guidance
Li, Z., & Diller, E. (2016) · International Journal of Advanced Robotic Systems · doi:10.1177/1729881416682707 · Cited by 4
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Zhang, Y., Whiting, E., & Balkcom, D. (2020) · Springer proceedings in advanced robotics · doi:10.1007/978-3-030-43089-4_52 · Cited by 4
Extensible, Extendable, Expandable, Extractable: The 4E Design Approach for Reconfigurable Displays
Vanderdonckt, J. M., & Vatavu, R.-D. (2021) · International Journal of Human-Computer Interaction · doi:10.1080/10447318.2021.1908666 · Cited by 4
“In swarm robotics (Rubenstein et al., 2014), the swarm grows by adding more members to it.”
BackgroundWeb Based Teleoperation of a Humanoid RobotPreprint
Fok, C., Sun, F., Mangum, M., et al. (2016) · arXiv (Cornell University) · doi:10.48550/arxiv.1607.05402 · Cited by 4
Machine Learning and the Law: 5 ThesesPreprint
Burri, T. (2017) · SSRN Electronic Journal · doi:10.2139/ssrn.2927625 · Cited by 4
Ultra-low-power Wireless Streaming CamerasPreprint
Naderiparizi, S., Hessar, M., Talla, V., et al. (2017) · arXiv (Cornell University) · doi:10.48550/arxiv.1707.08718 · Cited by 4
“There has been significant recent interest in developing miniature robot such as Kilobots [24], Robo-bees [8], NanoWalkers [30] and Hexapod Robot [20].”
BackgroundImproved Leader Election for Self-Organizing Programmable MatterPreprint
Daymude, J. J., Gmyr, R., Richa, A. W., et al. (2017) · arXiv (Cornell University) · doi:10.48550/arxiv.1701.03616 · Cited by 4
“ted sensing, vision, and communication ranges. They are used in a variety of contexts, including graph exploration (e.g., [23]), gathering problems (e.g., [2,13]), and shape formation problems (e.g., [24,33]). Surveys of recent results in swarm 4 Daymude et al. robotics can be found in [28,30]; other samples of repres…”
BackgroundRandom Finite Set Theory and Centralized Control of Large Collaborative SwarmsPreprint
Doerr, B. G., Linares, R., Zhu, P., & Ferrari, S. (2021) · DSpace@MIT (Massachusetts Institute of Technology) · Cited by 4
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Brandenbourger, M., Scheibner, C., Veenstra, J., et al. (2021) · UvA-DARE (University of Amsterdam) · doi:10.5281/zenodo.5502578 · Cited by 4
Beni, G. (2019) · Springer eBooks · doi:10.1007/978-3-642-27737-5_530-5 · Cited by 6
Dowaidar, M. (2021) · OSF Preprints (OSF Preprints) · doi:10.31219/osf.io/wcyhg · Cited by 4
Braga, J., Regateiro, F. S., Stiubiener, I., & Braga, J. C. (2023) · OSF Preprints (OSF Preprints) · doi:10.31219/osf.io/wexjr · Cited by 5
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Li, X., Zhou, R., Sun, G., et al. (2025) · IEEE Transactions on Automation Science and Engineering · doi:10.1109/tase.2025.3586130 · Cited by 3
Hu, Y., Chen, X., Chen, Q., et al. (2025) · Small · doi:10.1002/smll.202506930 · Cited by 3
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Zhou, Y., Quan, L., Xu, C., Xu, G., & Gao, F. (2025) · IEEE Transactions on Automation Science and Engineering · doi:10.1109/tase.2025.3603614 · Cited by 4
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InfluentialCaine, P. B., Robertson, A. T., Treers, L. K., Goldman, D. I., & Goodisman, M. A. D. (2025) · Insectes Sociaux · doi:10.1007/s00040-025-01057-7 · Cited by 4
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Luo, N., Li, L., Yang, M., & Peng, Y. (2025) · Physical Review Letters · doi:10.1103/hb7b-wp95 · Cited by 3
Li, W., Wang, Z., Guan, C., Chen, C., Wang, B., Ren, P., Qiu, Y., Zhang, Q., Wang, H., Wang, D., et al. (2025) · Robotics and Autonomous Systems · doi:10.1016/j.robot.2025.105245 · Cited by 8
Huang, Z., Cheng, Y., Liu, R., et al. (2025) · Robotics and Autonomous Systems · doi:10.1016/j.robot.2025.105273 · Cited by 3
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Eddakoun, A., Hader, A., Tarras, I., et al. (2025) · Chaos An Interdisciplinary Journal of Nonlinear Science · doi:10.1063/5.0295223 · Cited by 3
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Pattanayak, A., Shee, A., Chaudhuri, D., & Chaudhuri, A. (2025) · The Journal of Chemical Physics · doi:10.1063/5.0301938 · Cited by 3
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Wu, Z., Yang, D., Li, H., et al. (2025) · Fractal and Fractional · doi:10.3390/fractalfract9120824 · Cited by 3
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Chowdhury, A., & Ramadas, R. (2022) · AI · doi:10.3390/ai3020027 · Cited by 3
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MethodControlling the dynamic behavior of decentralized cluster through centralized approaches
袁, D. 大. Y., 王, P. 培. W., 王, P. 鹏. W., 马, X. 星. M., Wang, C., 王, J. 璟. W., Chen, H., 王, G. 高. W., & Ye, F. (2024) · Chinese Physics B · doi:10.1088/1674-1056/ad3dd0 · Cited by 3
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Yu, C., Zhang, D., & Zhang, Q. (2024) · Proceedings - IEEE International Conference on Robotics and Automation/Proceedings · doi:10.1109/icra57147.2024.10610337 · Cited by 4
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Gupta, H., Strobel, V., Pacheco, A., Ferrante, E., Natalizio, E., & Dorigo, M. (2024) · Lecture notes in computer science · doi:10.1007/978-3-031-70932-6_8 · Cited by 3
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Cazenille, L., Toquebiau, M., Lobato‐Dauzier, N., Loi, A., Macabre, L., Aubert-Kato, N., Genot, A. J., & Bredèche, N. (2025) · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rsta.2024.0148 · Cited by 6
“Gradient broadcasting can occur through microscopic rules derived from local observations [93–95], or via multi-agent reinforcement learning where the gradients of the loss function are broadcasted from agents to agents [96].”
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Kinoshita, Y., Uchida, N., & Menzel, A. M. (2025) · The Journal of Chemical Physics · doi:10.1063/5.0244615 · Cited by 3
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Lai, A., Li, Y., Wu, K., et al. (2025) · International Journal of Non-Linear Mechanics · doi:10.1016/j.ijnonlinmec.2025.105235 · Cited by 3
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Kosak, O., Kastenmüller, P., & Reif, W. (2025) · International Journal on Software Tools for Technology Transfer · doi:10.1007/s10009-025-00834-w · Cited by 5
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Process Planning and Decentralised Process Control for Cybertronic Production Systems
Weidig, C., Sinnwell, C., & Aurich, J. C. (2015) · Applied Mechanics and Materials · doi:10.4028/www.scientific.net/amm.794.486 · Cited by 3
“Thereby cooperation within huge systems through local interactions of single entities enables collective behaviour and global optimisation [15].”
BackgroundSimulation of search-and-rescue and target surrounding algorithm techniques using Kilobots
Magsino, E. R., Beltran, F. A. V., Cruzat, H. A. P., et al. (2016) · International Conference on Control, Automation and Robotics (ICCAR) · doi:10.1109/iccar.2016.7486701 · Cited by 3
“The three basic collective behaviors ofthe Kilobots were developed in [5].”
BackgroundOne ring to rule them all: tuning bacteria collective motion via geometric confinement
Giomi, L. (2016) · New Journal of Physics · doi:10.1088/1367-2630/18/8/081001 · Cited by 3
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Haghighat, B., & Martinoli, A. (2018) · Springer proceedings in advanced robotics · doi:10.1007/978-3-319-73008-0_23 · Cited by 3
“In recent years, SA has been extensively studied both as an enabling technique for micro/nano-fabrication, and as a coordination mechanism for distributed robotic systems of miniaturized modules with limited capabilities, where highly stochastic sensing, actuation, and interactions are inevitable [13, 1, 4].”
BackgroundDistributed aggregation for modular robots in the pivoting cube model
Claici, S., Romanishin, J. W., Lipton, J. I., et al. (2017) · Proceedings - IEEE International Conference on Robotics and Automation/Proceedings · doi:10.1109/icra.2017.7989178 · Cited by 3
“effective swarm robotics has shown aggregation and reconfiguration in swarms of up to thousands of robots [7], [8]; however, this work has been restricted to 2D structures.”
BackgroundTiwari, A. K., & Devasia, S. (2019) · Indian Control Conference · doi:10.1109/icc47138.2019.9123234 · Cited by 3
“, multi-agent robotic systems [9] and inter-connected vehicle platoons [2].”
BackgroundDecentralized Localization in Homogeneous Swarms Considering Real-World Non-Idealities
Wang, H., & Rubenstein, M. (2021) · IEEE Robotics and Automation Letters · doi:10.1109/lra.2021.3095032 · Cited by 3
“Decentralized methods can be categorized into two types: progressive methods [12]–[14], [18], [23] and concurrent methods [16].”
BackgroundMethodSelf-citationDistributed transformations of Hamiltonian shapes based on line moves
Almethen, A., Michail, O., & Potapov, I. (2022) · Theoretical Computer Science · doi:10.1016/j.tcs.2022.11.029 · Cited by 3
Collective Transport via Sequential Caging
Varadharajan, V. S., Soma, K., & Beltrame, G. (2022) · Springer proceedings in advanced robotics · doi:10.1007/978-3-030-92790-5_27 · Cited by 3
Xiao, Z., Wang, X., & Hong, L. (2022) · Frontiers in Neurorobotics · doi:10.3389/fnbot.2022.950572 · Cited by 3
“Inspired by biological systems, many problems have been solved by using biological heuristic algorithms, such as pattern formation (Spears et al., 2004; Sperati et al., 2011; Spears and Spears, 2012; Rubenstein et al., 2014; Slavkov et al., 2018), objective search (Hayes, 2002; Kantor et al.”
MethodLearning Resilient Swarm Behaviors via Ongoing Evolution
Neupane, A., & Goodrich, M. A. (2022) · Lecture notes in computer science · doi:10.1007/978-3-031-20176-9_13 · Cited by 3
“The ability of biological collectives to solve problems with partial, uncertain information has motivated AI researchers to mimic their behaviors [55,40,47,56,6].”
BackgroundInterfacial self-transportation via controlled wettability transition for directed self-assembly
Tian, P. W., Tan, M., Zhu, G., et al. (2023) · Chinese Chemical Letters · doi:10.1016/j.cclet.2023.108538 · Cited by 3
Self-organized aggregation with physical interaction
Pan, M., Yang, Y., Qin, X., & Liu, L. (2023) · IEEE International Conference on Real-time Computing and Robotics (RCAR) · doi:10.1109/rcar58764.2023.10249716 · Cited by 4
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“developed a swarm robot system with more than 1000 robots [5].”
BackgroundSwarm of One: Bottom-Up Emergence of Stable Robot Bodies from Identical Cells
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Kim, D., Lee, M., Mahravan, E., & Kim, D. (2024) · Journal of Fluid Mechanics · doi:10.1017/jfm.2023.1070 · Cited by 3
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Marek, D., Paszkuta, M., Szyguła, J., Biernacki, P., Domański, A., Szczygieł, M., Król, M., & Wojciechowski, K. W. (2023) · IEEE International Conference on Big Data (BigData) · doi:10.1109/bigdata59044.2023.10386672 · Cited by 3
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BackgroundEfficient Communication Protocol for Programmable Matter
Yaacoub, J.-P. A., Piranda, B., Lassabe, F., & Noura, H. (2024) · Lecture notes on data engineering and communications technologies · doi:10.1007/978-3-031-57870-0_1 · Cited by 3
“Self-reconfiguration consists in programming modular robots so that modules move relatively to each other to change the overall shape of the assembly [2, 3, 4].”
Barone, E., & Patterson, G. A. (2024) · Physical review. E · doi:10.1103/physreve.109.054609 · Cited by 3
Rusin, F., & Medvet, E. (2024) · Artificial Life · doi:10.1162/artl_a_00447 · Cited by 3
“Rubenstein et al. (2014) proposed a way to build fixed shapes from a robot swarm with local communication.”
Minimalist Protocols for Quorum Sensing in Robot Swarms
Oddi, F., Reina, A., & Trianni, V. (2024) · Lecture notes in computer science · doi:10.1007/978-3-031-70932-6_11 · Cited by 3
Modeling the hydrodynamic interaction of two chiral organisms
Xu, J., Ouyang, Z., Lin, J., et al. (2024) · Physics of Fluids · doi:10.1063/5.0223995 · Cited by 3
Emergent Dynamic Formation through Optical Interactions in a Robot Swarm
Qin, X., Yang, Y., Qiu, Y., Pan, M., Hou, J., & Liu, L. (2024) · Advanced Intelligent Systems · doi:10.1002/aisy.202400572 · Cited by 3
Cooperative object transportation using parallel line formation with a circular shift
Eoh, G., Jeon, J. D., Oh, J. H., et al. (2016) · Robotica · doi:10.1017/s0263574716000096 · Cited by 3
Topology-dependent density optima for efficient simultaneous network exploration
Wilson, D. B., Baker, R. E., & Woodhouse, F. G. (2018) · Physical review. E · doi:10.1103/physreve.97.062301 · Cited by 3
“This concept is not limited to biology: robotic self-assembly 11 , traffic flow management 12–14 and computer resource allocation 15 hinge on optimising decentralised exploration.”
BackgroundMassive self-organized shape formation in grid environments
Chu, W., Zhang, W., Zhao, H., et al. (2021) · Science China Information Sciences · doi:10.1007/s11432-021-3358-y · Cited by 3
“Rubenstein et al. [5] proposed a method to support shape formation with thousands of agents based on the strategy of edge-following, which manifests low efficiency due to the low parallelism among agents.”
MethodEnergy dissipation by metamorphic micro-robots in viscous fluids
Hogg, T. (2016) · Journal of Micro-Bio Robotics · doi:10.1007/s12213-015-0086-3 · Cited by 3
“Such swarms of separate modules can form aggregates with variable numbers of modules, even with simple controllers and noisy sensors [1, 34].”
BackgroundAdaptive event sensing in networks of autonomous mobile agents
Esch, R. R., Protti, F., & Barbosa, V. C. (2016) · Journal of Network and Computer Applications · doi:10.1016/j.jnca.2016.04.022 · Cited by 3
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Yao, Y., Kathleen Marchal, D., & de Peer, Y. V. (2016) · Advances in computational intelligence and robotics book series · doi:10.4018/978-1-4666-9572-6.ch003 · Cited by 3
Probabilistic modeling of programmable stochastic self-assembly of robotic modules
Haghighat, B., Thandiackal, R., Mordig, M., & Martinoli, A. (2017) · IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) · doi:10.1109/iros.2017.8206337 · Cited by 3
“Formally defined as the reversible and spontaneous phenomenon of an ordered spatial structure emerging from aggregate behavior of simpler preexisting entities, SA has been realized in engineered systems of both passive [6], [13], and active modules [14], [15].”
BackgroundMethodLocal growth rules can maintain metabolically efficient spatial structure throughout growth
Guo, Y., Tikhonov, M., & Brenner, M. P. (2018) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1801853115 · Cited by 3
“Indeed, in human-designed robotic swarms, groups of robots have been shown to be able to selforganize according to a global rule when endowed with these two capabilities through the help of wireless sensors and powerful central processing units (CPUs) (28, 29).”
BackgroundModelling Smart Mobile Robotic Networks from a Cyber Physical System Perspective
Zhao, H., Wang, H., Zhang, Y., et al. (2018) · International Conference on Communications (COMM) · doi:10.1109/iccomm.2018.8484837 · Cited by 3
Evolving vascular morphogenesis controller to demonstrate locomotion
Zahadat, P., & Schmickl, T. (2017) · doi:10.1109/aisp.2017.8515124 · Cited by 3
“In [15], a decentralized algorithm is implemented in a large swarm of simple robots.”
MethodDing, B., Xu, J., Wang, H., Zhang, H., Liu, H., & Feng, D. (2019) · IEEE International Symposium on Service-Oriented System Engineering (SOSE) · doi:10.1109/sose.2019.00012 · Cited by 3
“For example, in the robotic field, people are starting to talk about swarms composed of hundreds or even thousands of robots to perform tasks as a collective [14].”
BackgroundMethodServing by local consensus in the public service location game
Sun, Y., & Zhou, H. (2016) · Scientific Reports · doi:10.1038/srep32502 · Cited by 3
“, ants and bees) and biological multi-cellular systems [33–35] and swarms of robots [12, 36].”
BackgroundDesign of Swarm Robots Formation Control System Based on Vision Guidance
Lan, R., Wang, X., Xiao, Z., et al. (2019) · IEEE/ASME International Conference on Advanced Intelligent Mechatronics · doi:10.1109/aim.2019.8868886 · Cited by 3
“used 1024 kilobot robots to form any shape by acquiring information through infrared communication between robots, in which one robot gets its global position by the calculation of others’ position [3].”
MethodGroup Behavior on Emergency Mode Transferring in Autonomous Multi-Robot Systems with Subgroups
Nogami, T., & Wang, Z. (2019) · IEEE International Conference on Robotics and Biomimetics (ROBIO) · doi:10.1109/robio49542.2019.8961571 · Cited by 3
Moustafa, N., Iglesias, A., & Gálvez, A. (2019) · International Conference on Software, Knowledge, Information Management and Applications (SKIMA) · doi:10.1109/skima47702.2019.8982462 · Cited by 3
“Recently, a swarm of one thousand kilobots has been reported in the literature [22].”
BackgroundZhang, Y., & Balkcom, D. (2020) · Springer proceedings in advanced robotics · doi:10.1007/978-3-030-44051-0_41 · Cited by 3
“[12], along with algorithms for planning mechanisms allowing kilobots to form 2D shapes.”
MethodA Parallel Evolutionary Algorithm with Value Decomposition for Multi-agent Problems
Li, G., Duan, Q., & Shi, Y. (2020) · Lecture notes in computer science · doi:10.1007/978-3-030-53956-6_57 · Cited by 3
A Fast, Accurate, and Scalable Probabilistic Sample-Based Approach for Counting Swarm Size
Wang, H., & Rubenstein, M. (2020) · Proceedings - IEEE International Conference on Robotics and Automation/Proceedings · doi:10.1109/icra40945.2020.9196529 · Cited by 3
“In [1] the shape is sized to fit the number of robots in the swarm.”
BackgroundMethodSelf-citationWang, Q., Huang, J., & Mao, X. (2020) · International Conference on Automation, Control and Robotics Engineering (CACRE) · doi:10.1109/cacre50138.2020.9230325 · Cited by 3
Reinforcement learning reveals fundamental limits on the mixing of active particles
Schildknecht, D., Popova, A. N., Stellwagen, J., & Thomson, M. W. (2021) · Soft Matter · doi:10.1039/d1sm01400e · Cited by 3
Errors in Collective Robotic Construction
Chen, J., Liu, Y., Pacheck, A., et al. (2022) · Springer proceedings in advanced robotics · doi:10.1007/978-3-030-92790-5_21 · Cited by 3
Fabrication of Artificial Muscle from Microtubules, Kinesins, and DNA Origami Nanostructures
Keya, J. J., Akter, M., Kabir, A. M. R., et al. (2022) · Methods in molecular biology · doi:10.1007/978-1-0716-1983-4_15 · Cited by 3
Ye, F., Abdulali, A., & Fumiya Iida, A. (2022) · Frontiers in Robotics and AI · doi:10.3389/frobt.2022.980586 · Cited by 2
“These researches take the interactions between individuals as a method of communication (Rubenstein et al., 2014; Sharma et al., 2020).”
BackgroundDevelopment of mobile robot network based on data sharing in the Ethereum platform
Shibata, Y., & Morioka, K. (2023) · IEEE/SICE International Symposium on System Integration (SII) · doi:10.1109/sii55687.2023.10039100 · Cited by 3
“In recent years, there have been demonstrations with actual robots on the scale of 1,000 units [5].”
BackgroundTanveer, M. H., Sgorbissa, A., & Thomas, A. (2019) · Lecture notes in electrical engineering · doi:10.1007/978-3-030-31993-9_21 · Cited by 3
Gaudl, S. E. (2016) · The University of Bath Online Publications Store (The University of Bath) · Cited by 4
An Algorithmic Framework for Shape Formation Problems in Self-Organizing Particle SystemsPreprint
Derakhshandeh, Z., Gmyr, R., Richa, A. W., et al. (2015) · arXiv (Cornell University) · doi:10.48550/arxiv.1504.00744 · Cited by 3
“autonomous robots that have limited sensing, and communication ranges, and that can freely move in a given area. They follow a variety of goals, including for example shape formation problems (e.g., [9, 14]). Surveys of recent results in swarm robotics can be found in [11, 12]. While the analytical techniques develope…”
BackgroundOptimal Estimation and Control of Large Collaborative Swarms using Random Finite Set Theory
Doerr, B. G. (2019) · University of Minnesota Digital Conservancy (University of Minnesota) · Cited by 3
Cyber Physical System for Enhancement in Security While Using Cyber
Bhatia, A., Kumar, A., & Sood, D. (2024) · Advances in human and social aspects of technology book series · doi:10.4018/979-8-3693-9235-5.ch005 · Cited by 2
Untethered Autonomous Holonomic Mobile Micromanipulator for Operations in Isolated Confined Spaces
Kinoshita, R., Minegishi, R., Sekine, C., et al. (2025) · Advanced Intelligent Systems · doi:10.1002/aisy.202400872 · Cited by 2
Towards Self-Assembling 3D-Printed Shapes Through Βiomimetic Μechanical Interlocking
Marte, T., Koltsakidis, S., Profitiliotis, T., et al. (2025) · Biomimetics · doi:10.3390/biomimetics10060400 · Cited by 2
“In addition, approaches involving robotics and active materials have broadened the scope of related research, even if these systems fall outside the strict definitions of self-assembly [10].”
Decentralised construction of a global coordinate system in a large swarm of minimalistic robots
Pluháček, M., Garnier, S., & Reina, A. (2025) · Swarm Intelligence · doi:10.1007/s11721-025-00251-4 · Cited by 2
Trajectory Generation for Quadrotors Air Parallel Docking With Time-Varying Avoidance Constraints
Zhang, J., Li, F., Xin, Y., et al. (2025) · IEEE Robotics and Automation Letters · doi:10.1109/lra.2025.3625489 · Cited by 2
“Studies [7], [8], [9] interconnect submodules to create a 3D shape.”
Hu, B.-B., Yao, W., Zhou, Y., Wei, H., & Lv, C. (2025) · IEEE Transactions on Robotics · doi:10.1109/tro.2025.3626654 · Cited by 2
“…of potential infeasibility and low efficiency in goal-assignment approaches [13]–[20] and unclear path-crossing-minimal mechanisms in goal-assignment-free approaches [12], [21]– [28], the challenging problem of MPCM navigation in obstacle environments still requires further investigation.”
Influential
Metadata
- Authors
- Rubenstein, M., Cornejo, A., & Nagpal, R.
- Affiliations
- Harvard University (US)
- Corresponding author
- Rubenstein, Michael
- Venue
- Science
- Published
- 2014-08-15
- Volume
- 345
- Issue
- 6198
- Pages
- 795-799
- ISSN
- 0036-8075 (ISSN-L)
- 1095-9203
- OpenAlex
- W2030775133
- Semantic Scholar
- c5ab840850ab57f2f14b67a5485fa3fd727b33b8
- Cited by
- 1,308
- References
- 22
- Citations by year
- 2026: 115 · 2025: 129 · 2024: 110 · 2023: 122 · 2022: 118 · 2021: 112 · 2020: 105 · 2019: 135 · 2018: 117 · 2017: 94 · 2016: 73 · 2015: 66 · 2014: 11
- FWCI
- 98.67
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Science (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Engineering › Mechanical Engineering › Modular Robots and Swarm Intelligence
- Physical Sciences › Engineering › Control and Systems Engineering › Distributed Control Multi-Agent Systems
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Micro and Nano Robotics
- Keywords
- programmable self-assembly, swarm robotics, shape formation, decentralized systems, autonomous robots, local interactions, artificial swarms, two-dimensional shapes
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