Handbook of Cubik Math

Handbook of Cubik Math
Enslow Publications | 1982-03 | ISBN: 0894900587 | 204 pages | DJVU | 2 mb
A study of the theory of groups that underlies Rubik's cube. Some Advance Comments on HANDBOOK OF CUBIK MATH
There is no more enjoyable way to learn the basics of group theory than to study this book carefully with (of course) Rubik's Cube in your hands. It is by all odds the best book yet written, or likely to be written, on the wonders and the dark, unsolved mysteries of the cube. Think not that the cube is just a toy. As Frey and Singmaster make
clear, it is one of the most amazing teaching aids in the entire history of mathematics. .
-Martin Gardner, author and editor.

This handbook gives a fascinating account of the relationship between the Rubik's Cube puzzle and an area of hig,her mathematics known as the theory of finite groups. The discussion is careful and lucid and
should be accessible to anyone willing to think carefully about the cube. It should be particularly useful for high-school students interested in the cube and also as a supplement for a college course covering finite groups. There are a broad ral1ge of exercises and various facts about the cube that have not appeared in detail in print before.
-Dr. Joe P. Buhler, Professor of Mathematics, Reed College, Oregon, and Professor of Mathematics, Pennsylvania State University.
(He was interviewed on NBC-TV's 1(20/20quot; program about the cube.)

Frey and Singmaster give a nicely blended discussion of specific algorithms for the cube together with some underlying theoretical concepts from group theory. Thus, cubists will be able to cure their insomnia by reading chapter 3, and then perhaps satisfy their aroused curiosity about what is really going on by read ing further.
There is no doubt that the cube is far and away the most interesting concrete example of a finite group in existence. As such, it presents a great pedagogical opportunity. While finite group theory may not become a household word as a result, books like this one will help demystify a previously rather obscure subject.
-David M. Goldschmidt, Professor of Mathematics, University of California, Berkeley,
and group-theory editor of PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY.




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