From: ivan@Aero.org (Ivan Filippenko)
Newsgroups: sci.math
Subject: Rubik's Cube math sources: summary
Date: 9 Nov 1994 18:26:10 GMT

Here's the list of references that I've compiled so far.
Many thanks to those who responded to my question.

=============================================================================

RUBIK'S CUBE References:


Mathematical Papers
-------------------

"Rubik's Revenge: The Group Theoretical Solution."
Mogens Esrom Larsen
American Mathematical Monthly, vol. 92 no. 6, June-July 1985, pp. 381-390.

"Rubik's Groups."
E. C. Turner & K. F. Gold
American Mathematical Monthly, vol. 92 no. 9, November 1985, pp. 617-629.

"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.

"The Slice Group in Rubik's Cube."
David Hecker & Ranan Banerji
Mathematics Magazine, vol. 58 no. 4, September 1985.

"The Group of the Hungarian Magic Cube."
Chris Rowley
Algebraic Structures and Applications,
Proceedings of the First Western Austrialian Conference on Algebra, 1982.

"Metamagical Themas:
The Magic Cube's cubies are twiddled by cubists and solved by cubemeisters."
Douglas R. Hofstadter
Scientific American, March 1981, pp. 20-39.

"Metamagical Themas:
Beyond Rubik's Cube: Spheres, pyramids, dodecahedrons and God knows what else."
Douglas R. Hofstadter
Scientific American, July 1982, pp. 16-31.

"Rubik's Cube and a model of quark refinement."
Solomon W. Golomb
Amer. J. Phys., 49 (11), November 1981.


Books
-----

"Rubik's Cubic Compendium"
Erno Rubik, Tamas Varga, et al, Edited by David Singmaster
Oxford University Press, 1987
Enslow Publishers, Inc.

"Rubik's Cube and Beyond"
Christoph Bandelow
Birkhauser, 1982
pb 120 pp. + biblio
ISBN 3-7643-3078-3
the price _was_ 3.95
[There is a 2-page bibliography in Bandelow's book. -- djr]

"Notes on Rubik's Magic Cube"
David Singmaster
Enslow Publishers
Hillside, NJ
1979 & 1981
ISBN 0-89490-043-9

   [ his shingle was at:
     Mathematical Sciences and Computing
     Polytechnic of the South Bank
     London SE1 OAA, England

     This was privately published.
     There are a couple of addresses & telephones on the inset.

        Singmaster
        66 Mount View Rd
        London N4 4JR, UK
        01-348-7266

        Enslow Publishers
        Bloy St. and Ramsey Ave.
        Hillsdale, New Jersey
        201 964-4116 ]

[I was given the address "Enslow Publ, Box 777, Hillside NJ, 07295 -- djr]

"Handbook of Cubik Math"
A. H. Frey and D. Singmaster
Enslow Publishers
Hillside, NJ
1982