"The best book yet written - or likely to be written - on the wonders and the dark, unsolved mysteries of the cube" Martin Gardiner "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 reading further" David M. Goldschmidt, Professor of Mathematics, University of California, Berkeley "Frey and Singmaster masterfully use the Rubik's cube to give a very tangible and tactile feel to the abstract concept of a group ... the book remains the definitive source for cube mathematics and presents an interesting and accessible introduction to group theory." David A. Reimann, in Mathematical Reviews, Issue 2012d