1st Edition

Mathematical Wizardry for a Gardner

Edited By Ed Pegg Jr, Alan Schoen, Tom Rodgers Copyright 2009
    220 Pages
    by A K Peters/CRC Press

    284 Pages
    by A K Peters/CRC Press

    In this volume, world-leading puzzle designers, puzzle collectors, mathematicians, and magicians continue the tradition of honoring Martin Gardner, who inspired them to enter mathematics, to enter magic, to bring magic into their mathematics, or to bring mathematics into their magic. This edited collection contains a variety of articles connected to puzzles, magic, and/or mathematics, including the history behind given puzzles, solitaire puzzles, two-person games, and mathematically interesting objects. Topics include tangrams, peg solitaire, sodoku, coin-weighing problems, anamorphoses, and more!

    Preface

    In Memoriam

    Frank Harary
    Gary Chartrand

    Harary
    Jeremiah Farrell

    Spin a Tale

    The Ig Nobel Prizes
    Stanley Eigen

    Martin Gardner and Paperfolding
    David Lister

    . . . Nothing but Confusion? Anamorphoses with Double Meaning
    Istvan Orosz

    Ponder a Puzzle

    Peg Solitaire with Diagonal Jumps
    George I. Bell

    The Grand Time Sudoku and the Law of Leftovers
    Bob Harris

    Patulous Pegboard Polygons
    Derek Kisman, Richard Guy, and Alex Fink

    Beamer Variant
    Rodolfo Kurchan

    Packing Equal Circles in a Square
    Peter Gabor Szabo

    Bring a Friend

    Uncountable Sets and an Infinite Real Number Game
    Matthew H. Baker

    The Cyclic Butler University Game
    Aviezri S. Fraenkel

    Misere Play of G-A-R-D-N-E-R, the G4G7 Heptagon Game
    Thane Plambeck

    Play with Numbers

    The Association Method for Solving Certain Coin-Weighing Problems
    Dick Hess

    The Art of Ready Reckoning
    Mogens Esrom Larsen

    Spherical Algebra
    Istvan Lenart

    Mathematical Idol
    Colm Mulcahy

    The Elevator Problem
    David Rhee and Jerry Lo

    Take a Shape

    Jordan as a Jordan Curve
    Robert Bosch

    Wang Tiles, Dynamical Systems, and Beatty Difference Sequences
    Stanley Eigen

    The Trilobite and Cross
    Chaim Goodman-Strauss

    Orderly Tangles Revisited
    George W. Hart

    Quasi-Periodic Essays in Architectural and Musical Form
    Akio Hizume

    Ellipses
    Robert Barrington Leigh, Ed Leonard, Ted Lewis, Andy Liu, and George Tokarsky

    Dances with Tangrams (and without Wolves)
    Karl Schaffer

    Two Special Polyhedra among the Regular Toroids
    Lajos Szilassi

    Biography

    Ed Pegg Jr, Alan Schoen, Tom Rodgers

    This is the second volume of papers mostly based on oral presentations at the Seventh Gathering for (Martin) Gardner held in March, 2006 in Atlanta, GA. Following two essays by G. Chartrand and J. Farrell in memory of the late Frank Harary, there are 24 articles ... [with numerous] papers on geometry ... [and] other papers discuss[ing] recreations ... For two people, there is a game that can be used to establish that the closed unit interval is uncountable as well as two games on directed graphs.
    —E. J. Barbeau, Mathematical Reviews, June 2010

    Anyone who enjoys learning about the mathematics behind problems will enjoy this book. ... Mathematical Wizardry for a Gardner poses interesting, engaging problems while also including an emphasis on post-high school mathematics. If you enjoy both, then this book is for you.
    —Cynthia Taylor, Mathematics Teacher, May 2010

    Most people enjoy puzzles, and it is only natural to feel good when you have solved a particularly difficult one. It is even more rewarding to invent a new puzzle that captivates the minds of the general public. Consequently, it comes as no surprise that there are groups of people who get together for the sole purpose of sharing new puzzles and new solutions to old puzzles. Gathering for Gardner (G4G) is just such a convention, and the contents of this book are from the seventh G4G (G4G7) conference. G4G conferences occur every two years to pay tribute to Martin Gardner, who rose to fame with his mathematical games columns in Scientific American. Since the book consists of 24 very different chapters, this review provides only a brief taste of what it has to offer. ... this fun book is a welcome change from the newspaper puzzles that I typically do on my way home from work.
    —Bernard Kuc, Computing Reviews, January 2010

    This volume collects 24 articles drawn from presentations given at a March 2006 meeting honoring Martin Gardner, who has played a large role in popularizing recreational mathematics ... The topics discussed are as broad as those that Gardner wrote about and include the mathematics of such puzzles and games as tangrams, peg solitaire, sudoku, coin-weighing problems, and anamorphoses.
    —Book News Inc., September 2009

    This book is the second of two volumes gathering most of the oral presentations delivered at the seventh of those conferences, held in 2006. ... some of the articles contain, strictly speaking, little mathematics; their subject could be more rightly labelled as puzzles, games, and other curious objects which are, however, likely to intrigue a mathematician, professional or amateur. ... This book is intended as recreational reading, and it is addressed to a very wide audience, including non-mathematicians and amateurs.
    —Fabio Mainardi, MAA Reviews, August 2009