## Adventures in group theory: Rubik's cube, Merlin's machine, and other mathematical toysThis updated and revised edition of David Joyner's entertaining "hands-on" tour of group theory and abstract algebra brings life, levity, and practicality to the topics through mathematical toys. Joyner uses permutation puzzles such as the Rubik's Cube and its variants, the 15 puzzle, the Rainbow Masterball, Merlin's Machine, the Pyraminx, and the Skewb to explain the basics of introductory algebra and group theory. Subjects covered include the Cayley graphs, symmetries, isomorphisms, wreath products, free groups, and finite fields of group theory, as well as algebraic matrices, combinatorics, and permutations. Featuring strategies for solving the puzzles and computations illustrated using the SAGE open-source computer algebra system, the second edition of |

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### Contents

Elementary my dear Watson | 1 |

And you do addition? | 13 |

Bell ringing and other permutations | 37 |

Copyright | |

12 other sections not shown

### Other editions - View all

Adventures in Group Theory: Rubik's Cube, Merlin's Machine, and Other ... David Joyner Limited preview - 2002 |

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