318 Pages
    by A K Peters/CRC Press

    318 Pages
    by A K Peters/CRC Press

    The tradition of honoring Martin Gardner continues with this edited collection of articles by those who have been inspired by Gardner to enter mathematics, to enter magic, to bring magic into their mathematics, or to bring mathematics into their magic. Contributing authors include world-leading puzzle designers, puzzle collectors, mathematicians, and magicians.

    The variety of articles includes card or magic tricks (with a mathematical trick behind them), the history behind given puzzles, mathematically interesting objects involving the number seven, and puzzles for the reader to solve. Specific puzzles discussed include tangram, 14-15 Puzzle, seven-coloring of the torus, packing circles, Crazy Elephant Dance, and more!

    History and Hoaxes
    Sam Loyd’s Most Successful Hoax
    Jerry Slocum

    Numbers and Shapes
    The Seven-Colored Torus
    sarah-marie belcastro and Carolyn Yackel
    A Property of Complete Symbols
    Peter Hilton, Jean Pedersen, and Byron Walden
    Seven-Fold Symmetry in Mathematica(l) Graphics and Physical Models
    Sandor Kabai
    Seven Knots and Knots in the Seven-Color Map
    Louis H. Kauffman
    Seven from the Sea
    Michael S. Longuet-Higgins
    Seven Staggering Sequences
    N. J. A. Sloane
    Seven Water Lilies
    Peter Gabor Szabo and Zsofia Ruttkay

    Puzzles and Games
    Developing the Transmission Puzzle
    M. Oskar van Deventer
    Triple-7 Hamiltonian Chess
    David S. Dillon, Jeremiah Farrell, and Tom Rodgers
    Retrolife
    Yossi Elran
    The Logologicomathemagical 7 ×7 Puzzle
    Jeremiah Farrell and Robert Friedhoffer
    Seven Roads to Roam: A Magical Journey
    Jeremiah Farrell and Judith H. Morrel
    Fractal Tilings Based on Dissections
    Robert W. Fathauer
    Creating the NAVIGATI Puzzle
    Adrian Fisher
    Crazy Elephant Dance
    Markus Gotz
    The Two Ovals-to-Table Story
    Serhiy Grabarchuk
    Folding Regular Heptagons
    Thomas C. Hull
    Combinatorial Philosophy
    Kate Jones
    Variations of the 14-15 Puzzle
    Rodolfo Kurchan
    Pentomino Battleships
    Mogens Esrom Larsen
    Horses in the Stream and Other Short Stories
    Earnest Hammingway
    A Potpourri of Polygonal and Polyhedral Puzzles
    Alan H. Schoen
    The Hexa-Dodeca-Flexagon
    Ann Schwartz and Jeff Rutzky
    Golomb, Gardner, Benjamin and Jones: Midwives to a Puzzle
    Norton Starr
    Walk, Slide, and Jump
    James W. Stephens
    Polyomino Number Theory Developments
    Robert Wainwright

    Biography

    Alan Schoen, Tom Rodgers, Ed Pegg Jr

    The final section tells the stories of how various mathematical games were invented, and if you are a fan of them gives many that you might not have heard of before. ... whether you are interested in puzzles, origami or card tricks, it has them all. ... If you are bored with doing Sudoku and fancy reading about games of a similar ilk, then this is the book for you.
    —Simon Craik, London Mathematical Society, May 2010

    ... Over two-thirds of the book consists of nineteen articles on puzzles and games ... these involve quite a spread of mathematics, including dissections, knots, Hamiltonian circuits, paper folding, groups and coding, along with a little philosophy.
    —E. J. Barbeau, Mathematical Reviews, July 2010