Enumerating the Topological Configurations of the Reconfigurable Cube Mechanism with Eight Sub-cubes

  • Lin-Chi Wu
  • Chin-Hsing KuoEmail author
Conference paper
Part of the Mechanisms and Machine Science book series (Mechan. Machine Science, volume 36)


The reconfigurable cube mechanism (RCM), which is made of 23 connecting sub-cubes, is a toy with special design of reconfiguration that transfers eight configurations in one cycle. The aim of this paper is to enumerate all feasible RCMs with 23 sub-cubes that have similar reconfigurability but distinct topological configurations. The enumeration firstly considers all possible connecting sequences of links and joints. It is then filtered by three joint arrangement rules associated with the configurational isomorphism and cyclic reconfiguration detections. As a result, the RCM has only one feasible initial configuration to perform a cyclic reconfiguration. This feasible configuration should have three pairs of co-axial joints without any inside joint, which is exactly the existing design.


Reconfigurable mechanism Variable topology mechanism Metamorphic mechanism Configuration transformation Type synthesis Number synthesis 


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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringNational Taiwan University of Science and TechnologyTaipeiTaiwan

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