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Erik D. Demaine, Martin L. Demaine, Tom RodgersThis nice collection of articles is a lovely tribute to Martin Gardner, the great magician, entertainer, and father of modern recreational mathematics. It will bring many happy moments to the readers keen on exploring connections between puzzles, magic, and mathematics. -Zentralblatt MATH, February 2009 The articles include puzzles, personal recollections of the authors' friendships with Gardner, and historical pieces. The personalized articles are wonderfully done and give the reader insight into Gardner's inquisitive nature... There are twenty-five articles in all so let me give a short description of just a few. 'Tangram: The World's First Puzzle Craze' by Jerry Slocum ranks high, giving a history of the tangram and pictures of artifacts and modern day renditions. 'De Viribus Quantitatis by Luca Pacioli: The First Recreational Mathematics Book,' by David Singmaster, is filled with details, pictures, and reproductions of book pages that show puzzles have happily been with us for a very long time. I was struck by M. Oskar van Deventer's article 'Mechanical Mazes.' He describes not the popular two-dimensional mazes, but three-dimensional mazes and puzzles... Each of the articles can be read independently so if you don't like one, simply move to another... the book is a fine tribute to Mr. Gardner. -MAA Reviews, May 2009 ... a tribute to Martin Gardner by respected puzzle masters, magicians, and mathematicians, offers resources for educators and recreational mathematicians alike. A collection of essays encompassing a variety of topics, the book includes a brief history of Gardner's work, magic tricks, mechanical puzzles, word puzzles, mazes and games. ... Educators will find nonroutine problems suitable for use at the secondary school level and above, while recreational mathematicians will enjoy a variety of puzzles and mathematical objects. ... Readers will enjoy the journey down a road less traveled to the place where mathematics, magic, and puzzles meet. -Josh Hertel, Mathematics Teacher, September 2009 ... For fans of Martin Gardner and for all concerned with communicating to the public the fascination of mathematical research, it is an ideal bedside book. -Phill Schultz, Australian Mathematical Society, March 2010
Preface -- I CastaSpell -- Martin Gardner and His Influence on Magic -- /Christopher Morgan -- Martin Gardner—Encore! -- /Prof. M. O’Snart -- Low-Down Triple Dealing -- /Colm Mulcahy -- Products of Universal Cycles -- /Persi Diaconis and Ron Graham -- II In Hindsight -- Tangram: The World's First Puzzle Craze -- /Jerry Slocum -- De Viribus Quantitatis by Luca Pacioli: The First Recreational Mathematics Book -- /David Singmaster -- Magic and Card Tricks in Luca Paciolo’s De Viribus Quantitatis -- /Vanni Bossi -- III Move It -- Railway Mazes -- /Roger Penrose -- Mechanical Mazes -- /M. Oskar van Deventer -- Insanity Puzzles: Instant and On-the-Spot -- /Rik van Grol -- The Adventures of Ant Alice -- /Peter Winkler -- IV Fitting In -- Simplicity -- /Stewart Coffin -- Extreme Puzzles -- /Frans de Vreugd -- Satterfield’s Tomb -- /David A. Klarner and Wade Satterfield, edited by Thane E. Plambeck -- Computer-Assisted Seashell Mosaics -- /Ken Knowlton -- V Speak to Me -- Memories and Inconsistencies -- /Raymond Smullyan -- A Bouquet for Gardner -- /Jeremiah Farrell and Thomas Rodgers -- Net Words: A Fascinating New Pencil-Paper Game -- /Mamikon Mnatsakanian, Gwen Roberts, and Martin Gardner -- The Wizard Is Always In -- /James Randi -- VI Making Arrangements -- Symmetric Graphs in Mathematical Puzzles -- /Ed Pegg Jr -- Martin Gardner and Ticktacktoe -- /Solomon W. Golomb -- Scheduling Tennis Doubles Competitions -- /Dick Hess -- When Multiplication Mixes Up Digits -- /David Wolfe -- Magic, Antimagic, and Talisman Squares -- /Rodolfo Kurchan -- Rectangle Arithmetic: Another Slant on Fractions -- /Bill Gosper -- About the Authors.