## Adventures in Group Theory: Rubik's Cube, Merlin's Machine, and Other Mathematical ToysGroup theory deals with symmetry, in the most abstract form possible. It is a core part of the undergraduate math curriculum, and forms part of the training of theoretical physicists and chemical crystallographers. Group theory has tended to be very dry -- until now. David Joyner uses mathematical toys (primarily the Rubik's Cube and its more modern cousins, the Megaminx, the Pyraminx, and so on) as well as other mathematical examples (e.g., bell ringing) to breathe new life into a time-honored subject. "Why," asks the author, "should two such different topics, mechanical puzzles and abstract group theory, be related? This book takes the reader on an intellectual trip to answer this curiosity." Adventures in Group Theory will not only appeal to all math enthusiasts and interested general readers but will also find use in the classroom as a wonderful supplementary text in any abstract algebra or group theory course. |

### What people are saying - Write a review

This is an excellent, beautiful little book, which I am happy to be the first reviewer to provide a well-deserved 5-star rating for. It provides the concrete examples that really flesh out the bare theorems that one typically gains from an undergraduate course or text in algebra. It is a joy to read, and every time I pick it up I get something new from it. Great for building intuition, the kind of stuff that can really open things up for gaining insight and "aha" moments.

### Contents

Elementary my dear Watson | 1 |

And you do addition? | 11 |

Bell ringing and other permutations | 29 |

A procession of permutation puzzles | 47 |

Whats commutative and purple? | 65 |

Welcome to the machine | 99 |

Gods algorithm and graphs | 115 |

Symmetry and the Platonic solids | 125 |

The legal Rubiks Cube group | 177 |

Squares twofaces and other subgroups | 189 |

Other Rubiklike puzzle groups | 205 |

Crossing the Rubicon | 223 |

Some solution strategies | 233 |

Coda Questions and other directions | 249 |

251 | |

257 | |

### Other editions - View all

Adventures in Group Theory: Rubik's Cube, Merlin's Machine, and Other ... David Joyner Limited preview - 2008 |