A Universal In-Place Reconfiguration Algorithm for Sliding Cube-Shaped Robots in a Quadratic Number of Moves

Z Abel, HA Akitaya, SD Kominers… - 40th International …, 2024 - drops.dagstuhl.de
In the modular robot reconfiguration problem, we are given n cube-shaped modules (or
robots) as well as two configurations, ie, placements of the n modules so that their union is …

Optimal in-place compaction of sliding cubes

I Kostitsyna, T Ophelders, I Parada, T Peters… - arXiv preprint arXiv …, 2023 - arxiv.org
The sliding cubes model is a well-established theoretical framework that supports the
analysis of reconfiguration algorithms for modular robots consisting of face-connected …

Traversability, reconfiguration, and reachability in the gadget framework

J Ani, ED Demaine, Y Diomidov, D Hendrickson… - Algorithmica, 2023 - Springer
Consider an agent traversing a graph of “gadgets”, where each gadget has local state that
changes with each traversal by the agent according to specified rules. Prior work has …

Reconfiguring non-convex holes in pivoting modular cube robots

D Feshbach, C Sung - IEEE Robotics and Automation Letters, 2021 - ieeexplore.ieee.org
We present an algorithm for self-reconfiguration of admissible 3D configurations of pivoting
modular cube robots with holes of arbitrary shape and number. Cube modules move across …

Compacting squares: Input-sensitive in-place reconfiguration of sliding squares

HA Akitaya, ED Demaine, M Korman… - arXiv preprint arXiv …, 2021 - arxiv.org
A well-established theoretical model for modular robots in two dimensions are edge-
connected configurations of square modules, which can reconfigure through so-called …

Gadgets and gizmos: A formal model of simulation in the gadget framework for motion planning

D Hendrickson - 2021 - dspace.mit.edu
Recent work has developed a theory of motion-planning gadgets, which are a useful tool for
proving hardness for a variety of problems that can be thought of in terms of an agent …

Reconfiguration Algorithms for Cubic Modular Robots with Realistic Movement Constraints

NSR Team, J Brunner, KC Cheung… - arXiv preprint arXiv …, 2024 - arxiv.org
We introduce and analyze a model for self-reconfigurable robots made up of unit-cube
modules. Compared to past models, our model aims to newly capture two important practical …

Sliding Squares in Parallel

HA Akitaya, SP Fekete, P Kramer, S Molaei… - arXiv preprint arXiv …, 2024 - arxiv.org
We consider algorithmic problems motivated by modular robotic reconfiguration, for which
we are given $ n $ square-shaped modules (or robots) in a (labeled or unlabeled) start …

Agent Motion Planning as Block Asynchronous Cellular Automata: Pushing, Pulling, Suplexing, and More

H Ani, J Brunner, ED Demaine, J Diomidova… - International Conference …, 2024 - Springer
In this paper, we explore how agent reachability problems from motion planning, games,
and puzzles can be generalized and analyzed from the perspective of block asynchronous …

Universal reconfiguration of (hyper-) cubic robots

Z Abel, SD Kominers - arXiv preprint arXiv:0802.3414, 2008 - arxiv.org
We study a simple reconfigurable robot model which has not been previously examined:
cubic robots comprised of three-dimensional cubic modules which can slide across each …