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Variations and Generalizations

  • Christoph Bandelow

Abstract

By means of a slight modification every Magic cube can be transformed into a “Supercube”, a puzzle with over 2000 times as many positions. In the first section of this chapter we give a solution for the supercube and a suitable mathematical model. In the second, we pay our respects to an over one hundred year old predecessor of the Rubik’s cube. We present a possibly new and certainly very simple proof of the main theorem of Sam Loyd’s 15-Puzzle. Most of the objects treated in the third section are no longer cube-shaped, but due to a technical and structural kinship, they are all part of our science of cubology: We are talking of magic polyhedrons of all kinds.

Keywords

Empty Space Equilateral Triangle Start Position Internal Angle Regular Polyhedron 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Boston 1982

Authors and Affiliations

  • Christoph Bandelow
    • 1
  1. 1.Bochum-StiepelFederal Republic of Germany

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