'Cube' Sites and References
This section has now been moved to a more up to date link-section on Twisted Mind Games.
- 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.
Note: The following are mathematical articles. So they are understandable for (under)graduates
and interested readers who are willing to delve into the rich world of (mathematical)
- 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