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Reconfiguration of Cube-Style Modular Robots Using O(logn) Parallel Moves

  • Greg Aloupis
  • Sébastien Collette
  • Erik D. Demaine
  • Stefan Langerman
  • Vera Sacristán
  • Stefanie Wuhrer
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5369)

Abstract

We consider a model of reconfigurable robot, introduced and prototyped by the robotics community. The robot consists of independently manipulable unit-square atoms that can extend/contract arms on each side and attach/detach from neighbors. The optimal worst-case number of sequential moves required to transform one connected configuration to another was shown to be Θ(n) at ISAAC 2007. However, in principle, atoms can all move simultaneously. We develop a parallel algorithm for reconfiguration that runs in only O(logn) parallel steps, although the total number of operations increases slightly to Θ(n logn). The result is the first (theoretically) almost-instantaneous universally reconfigurable robot built from simple units.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Greg Aloupis
    • 1
  • Sébastien Collette
    • 1
  • Erik D. Demaine
    • 2
  • Stefan Langerman
    • 1
  • Vera Sacristán
    • 3
  • Stefanie Wuhrer
    • 4
  1. 1.Université Libre de BruxellesBelgium
  2. 2.Massachusetts Institute of TechnologyUSA
  3. 3.Universitat Politècnica de CatalunyaSpain
  4. 4.Carleton UniversityCanada

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