'Cube' Sites and References

Links

This section has now been moved to a more up to date link-section on Twisted Mind Games.

References

Notes on Rubik's Magic Cube

David Singmaster

Enslow Publishers, Hillside, NJ, 1981

Simply the best (w.r.t. The Cube)

Rubik's Cubic Compendium

Erno Rubik, Tamas Varga, et al, Edited by David Singmaster

Oxford University Press, 1987

Enslow Publishers Inc

Metamagical thema's: questing for the essence of mind and pattern

Douglas R. Hofstadter

Basic Books, 1985

There are two chapters one the Cube and variants. But it is an interesting book in it self.

Rubik's Revenge: The Group Theoretical Solution

Mogens Esrom Larsen

American Mathematical Monthly Vol. 92 No. 6, June-July 1985,

pp. 381-390.

This, besides giving a solution for the 4^3, can give you a nice idea how you can proceed to solve an individual puzzle.

Rubik's Groups

E. C. Turner & K. F. Gold,

American Mathematical Monthly vol. 92 No. 9 November 1985,

pp. 617-629.

They give a algorithm to solve a class of Cube-like puzzles. Namely those which are regular solids and for which you can turn only sides. (Of course some more by dualization)

Cubelike Puzzles - What Are They and How Do You Solve Them?

J.A. Eidswick

American Mathematical Monthly Vol. 93 No. 3 March 1986,

pp. 157-176.

A very nice article which gives 7 propositions (and proofs (-:). They can often be used and can save some (well, ok a lot) of time.

Of course there are a lot more but these I read. A few I have not read (yet):

The Slice Group in Rubik's Cube,

David Hecker, Ranan Banerji

Mathematics Magazine, Vol. 58 No. 4 Sept 1985

The Group of the Hungarian Magic Cube

Chris Rowley

Proceedings of the First Western Austrialian Conference on Algebra, 1982

Author: Christian Eggermont
Last updated: 13 March 1997