Reconfiguring a Chain of Cubes

نویسندگان

  • Laurie J. Heyer
  • Anna Lubiw
  • Debajyoti Mondal
  • Ulrike Stege
  • Sue Whitesides
چکیده

Any configuration of a chain of cubes can be transformed into any other while maintaining contact between adjacent cubes in the chain using a quadratic number of moves. We show that this result is also true in the more constrained setting of a “Kibble chain” where the cubes are threaded on an elastic string, and slits in the cubes allow limited turns at joints.

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تاریخ انتشار 2015