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We present a comprehensive study on discrete morphological symmetries of dynamical systems, which are commonly observed in biological and artificial locomoting systems, such as legged, swimming, and flying animals/robots/virtual characters.…

Robotics · Computer Science 2023-07-27 Daniel Ordonez-Apraez , Mario Martin , Antonio Agudo , Francesc Moreno-Noguer

Robot design aims at learning to create robots that can be easily controlled and perform tasks efficiently. Previous works on robot design have proven its ability to generate robots for various tasks. However, these works searched the…

Artificial Intelligence · Computer Science 2023-06-02 Heng Dong , Junyu Zhang , Tonghan Wang , Chongjie Zhang

Model generalization of the underlying dynamics is critical for achieving data efficiency when learning for robot control. This paper proposes a novel approach for learning dynamics leveraging the symmetry in the underlying robotic system,…

Robotics · Computer Science 2022-10-17 Jee-eun Lee , Jaemin Lee , Tirthankar Bandyopadhyay , Luis Sentis

We present a comprehensive framework for studying and leveraging morphological symmetries in robotic systems. These are intrinsic properties of the robot's morphology, frequently observed in animal biology and robotics, which stem from the…

Humanoid robots are envisioned to perform a wide range of tasks in human-centered environments, requiring controllers that combine agility with robust balance. Recent advances in locomotion and whole-body tracking have enabled impressive…

Aquatic creatures exhibit remarkable adaptations of their body to efficiently interact with the surrounding fluid. The tight coupling between their morphology, motion, and the environment are highly complex but serves as a valuable example…

Robotics · Computer Science 2022-11-28 Nana Obayashi , Andrea Vicari , Kai Junge , Kamran Shakir , Josie Hughes

Symmetry is a fundamental aspect of many real-world robotic tasks. However, current deep reinforcement learning (DRL) approaches can seldom harness and exploit symmetry effectively. Often, the learned behaviors fail to achieve the desired…

Robotics · Computer Science 2024-03-08 Mayank Mittal , Nikita Rudin , Victor Klemm , Arthur Allshire , Marco Hutter

Robots exhibit a rich variety of symmetries arising from their mechanical structure and the properties of their tasks. Although many robotics problems exhibit several symmetries simultaneously, existing approaches typically treat them in…

Robotics · Computer Science 2026-05-22 Loizos Hadjiloizou , Rodrigo Pérez-Dattari , Noémie Jaquier

In this article, we investigate symmetry properties of distributed systems of mobile robots. We consider a swarm of $n\in\mathbb{N}$ robots in the $\mathcal{OBLOT}$ model and analyze their collective $\mathcal{F}$sync dynamics using of…

Robotics · Computer Science 2025-03-11 Raphael Gerlach , Sören von der Gracht

Mechanical systems naturally evolve on principal bundles describing their inherent symmetries. The ensuing factorization of the configuration manifold into a symmetry group and an internal shape space has provided deep insights into the…

Robotics · Computer Science 2023-03-29 Jake Welde , Matthew D. Kvalheim , Vijay Kumar

This paper addresses several critical stages of designing a walking robot, including optimal structural synthesis, introducing a novel 'rational' mechanical structure aimed at enhancing efficiency and simplifying control system, while…

Robotics · Computer Science 2025-05-05 Arman Ibrayeva , Batyrkhan Omarov

Humanoid robots are made to resemble humans but their locomotion abilities are far from ours in terms of agility and versatility. When humans walk on complex terrains, or face external disturbances, they combine a set of strategies,…

Robotics · Computer Science 2021-10-28 Mohammadreza Kasaei , Miguel Abreu , Nuno Lau , Artur Pereira , Luis Paulo Reis

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 introduces a simulation study of fluid actuated multi-driven closed system as spherical mobile robot called "RollRoller". Robot's mechanism design consists of two essential parts: tubes to lead a core and mechanical controlling…

Robotics · Computer Science 2016-10-21 Seyed Amir Tafrishi , Sandor M. Veres , Esmaeil Esmaeilzadeh , Mikhail Svinin

Morphological computing, the use of the physical design of a robot to ease the realization of a given task has been proven to be a relevant concept in the context of swarm robotics. Here we demonstrate both experimentally and numerically,…

Soft Condensed Matter · Physics 2026-01-13 Jeremy Fersula , Nicolas Bredeche , Olivier Dauchot

High-performance closed-loop control of truly soft continuum manipulators has remained elusive. Experimental demonstrations have largely relied on sufficiently stiff, piecewise architectures in which each actuated segment behaves as a…

Robotics · Computer Science 2026-04-14 Vito Daniele Perfetta , Daniel Feliu-Talegon , Ebrahim Shahabi , Cosimo Della Santina

Legged robot research is presently focused on bipedal or quadrupedal robots, despite capabilities to build robots with many more legs to potentially improve locomotion performance. This imbalance is not necessarily due to hardware…

Random operators constitute fundamental building blocks of models of complex systems yet are far from fully understood. Here, we explain an asymmetry emerging upon repeating identical isotropic (uniformly random) operations. Specifically,…

Statistical Mechanics · Physics 2021-06-03 Malte Schröder , Marc Timme

Multisection continuum arms offer complementary characteristics to those of traditional rigid-bodied robots. Inspired by biological appendages, such as elephant trunks and octopus arms, these robots trade rigidity for compliance, accuracy…

Robotics · Computer Science 2019-01-08 Isuru S. Godage , Robert J. Webster , Ian D. Walker

Humans naturally exhibit bilateral symmetry in their gross manipulation skills, effortlessly mirroring simple actions between left and right hands. Bimanual robots-which also feature bilateral symmetry-should similarly exploit this property…

Robotics · Computer Science 2025-09-03 Zechu Li , Yufeng Jin , Daniel Ordonez Apraez , Claudio Semini , Puze Liu , Georgia Chalvatzaki
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