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.
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© 1982 Birkhäuser Boston
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Bandelow, C. (1982). Variations and Generalizations. In: Inside Rubik’s Cube and Beyond. Birkhäuser Boston. https://doi.org/10.1007/978-1-4684-7779-5_5
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DOI: https://doi.org/10.1007/978-1-4684-7779-5_5
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-3078-2
Online ISBN: 978-1-4684-7779-5
eBook Packages: Springer Book Archive