The FictionMags Index


Book Contents Lists: Page 488


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    Penrose Tiles to Trapdoor Ciphers by Martin Gardner (W.H. Freeman & Co., 1989, 0-7167-1987-8, hc, nf)
    • · Penrose Tiling · Martin Gardner · ar Scientific American January 1977, as “Extraordinary Nonperiodic Tiling That Enriches the Theory of Tiles”
    • · Mandelbrot’s Fractals · Martin Gardner · ar Scientific American December 1976, as “In Which Monster Curves Force Redefinition of the Word “Curve””
    • · Conway’s Surreal Numbers · Martin Gardner · ar Scientific American September 1976, as “John Horton Conway’s Book Covers an Infinity of Games”
    • · Back from the Klondike and Other Problems · Martin Gardner · ar Scientific American October 1976, as “Combinatorial Problems, Some Old, Some New and All Newly Attacked by Computer”
    • · The Oulipo · Martin Gardner · ar Scientific American February 1977, as “The Flip-Strip Sonnet, the Lipogram and Other Mad Modes of Wordplay”
    • · Wythoff’s Nim · Martin Gardner · ar Scientific American March 1977, as “Cornering a Queen Leads Unexpectedly Into Corners of the Theory of Numbers”
    • · Pool-Ball Triangles and Other Problems · Martin Gardner · ar Scientific American April 1977, as “The Pool-Table Triangle, a Limerick Paradox and Divers Other Challenges”
    • · Mathematical Induction and Colored Hats · Martin Gardner · ar Scientific American May 1977, as “The “Jump Proof” and Its Similarity to the Toppling of a Row of Dominoes”
    • · Negative Numbers · Martin Gardner · ar Scientific American June 1977, as “The Concept of Negative Numbers and the Difficulty of Grasping It”
    • · Cutting Shapes Into N Congruent Parts · Martin Gardner · ar Scientific American July 1977, as “Cutting Things Into Equal Parts Leads Into Significant Areas of Mathematics”
    • · Trapdoor Ciphers · Martin Gardner · ar Scientific American August 1977, as “A New Kind of Cipher That Would Take Millions of Years to Break”
    • · Hyperbolas · Martin Gardner · ar Scientific American September 1977, as “On Conic Sections, Ruled Surfaces and Other Manifestations of the Hyperbola”
    • · The New Eleusis · Martin Gardner · ar Scientific American October 1977, as “On Playing New Eleusis, the Game That Simulates the Search for Truth”
    • · Ramsey Theory · Martin Gardner · ar Scientific American November 1977, as “In Which Joining Sets of Points by Lines Leads Into Diverse (And Diverting) Paths”
    • · From Burrs to Berrocal · Martin Gardner · ar Scientific American January 1978, as “The Sculpture of Miguel Berrocal Can Be Taken Apart Like an Interlocking Mechanical Puzzle”
    • · Sicherman Dice, the Kruskal Count and Other Curiosities · Martin Gardner · ar Scientific American February 1978, as “On Checker Jumping, the Amazon Game, Weird Dice, Card Tricks and Other Playful Pastimes”
    • · Raymond Smyllyan’s Logic Puzzles · Martin Gardner · ar Scientific American March 1978, as “Count Dracula, Alice, Portia and Many Others Consider Various Twists of Logic”




    Time Travel and Other Mathematical Bewilderments by Martin Gardner (W.H. Freeman & Co., 1988, 0-7167-1925-8, hc, nf)
    • · Time Travel · Martin Gardner · ar Scientific American May 1974, as “On the Contradictions of Time Travel”
    • · Hexes and Stars · Martin Gardner · ar Scientific American July 1974, as “On the Patterns and the Unusual Properties of Figurate Numbers”
    • · Tangrams, Part 1 · Martin Gardner · ar Scientific American August 1974, as “On the Fanciful History and the Creative Challenges of the Puzzle Game of Tangrams”
    • · Tangrams, Part 2 · Martin Gardner · ar Scientific American September 1974, as “More on Tangrams: Combinatorial Problems and the Game Possibilities of Snug Tangrams”
    • · Nontransitive Paradoxes · Martin Gardner · ar Scientific American October 1974, as “On the Paradoxical Situations That Arise from Nontransitive Relations”
    • · Combinatorial Card Problems · Martin Gardner · ar Scientific American November 1974, as “Some New and Dramatic Demonstrations of Number Theorems with Playing Cards”
    • · Melody-Making Machines · Martin Gardner · ar Scientific American December 1974, as “The Arts As Combinatorial Mathematics, or How to Compose Like Mozart with Dice”
    • · Anamorphic Art · Martin Gardner · ar Scientific American January 1975, as “The Curious Magic of Anamorphic Art”
    • · The Rubber Rope and Other Problems · Martin Gardner · ar Scientific American March 1975, as “From Rubber Ropes to Rolling Cubes, a Miscellany of Refreshing Problems”
    • · Six Sensational Discoveries · Martin Gardner · ar Scientific American April 1975, as “Six Sensational Discoveries That Somehow or Another Have Escaped Public Attention”
    • · The Császár Polyhedron · Martin Gardner · ar Scientific American May 1975, as “On the Remarkable Császár Polyhedron and Its Applications in Problem Solving”
    • · Dodgem and Other Simple Games · Martin Gardner · ar Scientific American June 1975, as “Games of Strategy for Two Players: Star Nim, Meander, Dodgem and Rex”
    • · Tiling with Convex Polygons · Martin Gardner · ar Scientific American July 1975, as “On Tessellating the Plane with Convex Polygon Tiles”
    • · Tiling with Polyominoes, Polyiamonds, and Polyhexes · Martin Gardner · ar Scientific American August 1975, as “More About Tiling the Plane: the Possibilities of Polyominoes, Polyiamonds, and Polyhexes”
    • · Curious Maps · Martin Gardner · ar Scientific American November 1975, as “On Map Projections (With Special Reference to Some Inspired Ones)”
    • · The Sixth Symbol and Other Problems · Martin Gardner · ar Scientific American December 1975, as “A Random Assortment of Puzzles, Together with Reader Responses to Earlier Problems”
    • · Magic Squares and Cubes · Martin Gardner · ar Scientific American January 1976, as “A Breakthrough in Magic Squares, and the First Perfect Magic Cube”
    • · Block Packing · Martin Gardner · ar Scientific American February 1976, as “Some Elegant Brick-Packing Problems, and a New Order-7 Perfect Magic Cube”
    • · Induction and Probability · Martin Gardner · ar Scientific American March 1976, as “On the Fabric of Inductive Logic, and Some Probability Paradoxes”
    • · Catalan Numbers · Martin Gardner · ar Scientific American June 1976, as “Catalan Numbers: an Integer Sequence That Materializes in Unexpected Places”
    • · Fun with a Pocket Calculator · Martin Gardner · ar Scientific American July 1976, as “Fun and Serious Business with the Small Electronic Calculator”
    • · Tree-Plant Problems · Martin Gardner · ar Scientific American August 1976, as “The Symmetrical Arrangement of the Stars on the American Flag and Related Matters”


    The Unexpected Hanging and Other Mathematical Diversions by Martin Gardner (Simon & Schuster, 1969, hc, nf)
    • · The Paradox of the Unexpected Hanging · Martin Gardner · ar Scientific American March 1963, as “A New Paradox, and Variations on It, About a Man Condemned to Be Hanged”
    • · Knots and Borromean Rings · Martin Gardner · ar Scientific American September 1961, as “Surfaces with Edges Linked in the Same Way As the Three Rings of a Well-Known Design”
    • · The Transcendental Number e · Martin Gardner · ar Scientific American October 1961, as “Diversions That Involve the Mathematical Constant “e””
    • · Geometric Dissections · Martin Gardner · ar Scientific American November 1961, as “Wherein Geometrical Figures Are Dissected to Make Other Figures”
    • · Scarne on Gambling · Martin Gardner · ar Scientific American December 1961, as “On the Theory of Probability and the Practice of Gambling”
    • · The Church of the Fourth Dimension · Martin Gardner · ar Scientific American January 1962, as “An Adventure in Hyperspace at the Church of the Fourth Dimension”
    • · Eight Problems · Martin Gardner · ar Scientific American February 1962, as “A Clutch of Diverting Problems”
    • · A Matchbox Game-Learning Machine · Martin Gardner · ar Scientific American March 1962, as “How to Build a Game-Learning Machine and Teach It to Play and Win”
    • · Spirals · Martin Gardner · ar Scientific American April 1962, as “About Three Types of Spirals and How to Construct Them”
    • · Rotations and Reflections · Martin Gardner · ar Scientific American May 1962, as “Symmetry and Asymmetry and the Strange World of Upside-Down Art”
    • · Peg Solitaire · Martin Gardner · ar Scientific American June 1962, as “The Game of Solitaire and Some Variations and Transformations”
    • · Flatlands · Martin Gardner · ar Scientific American July 1962, as “Fiction About Life in Two Dimensions”
    • · Chicago Magic Convention · Martin Gardner · ar Scientific American August 1962, as “A Variety of Diverting Tricks Collected at a Fictitious Convention of Magicians”
    • · Tests of Divisibility · Martin Gardner · ar Scientific American September 1962, as “Tests That Show Whether a Large Number Can Be Divided by a Number from 2 to 12”
    • · Nine Problems · Martin Gardner · ar Scientific American October 1962, as “A Collection of Puzzles Involving Numbers, Logic, and Probability”
    • · The Eight Queens and Other Chessboard Diversions · Martin Gardner · ar Scientific American November 1962, as “Some Puzzles Based on Checkerboards”
    • · A Loop of String · Martin Gardner · ar Scientific American December 1962, as “Some Simple Tricks and Manipulations from the Ancient Lore of String Play”
    • · Curves of Constant Width · Martin Gardner · ar Scientific American February 1963, as “Curves of Constant Width, One of Which Makes It Possible to Drill Square Holes”
    • · Rep-Tiles: Replicating Figures on the Plane · Martin Gardner · ar Scientific American May 1963, as “On Rep-Tiles, Polygons That Can Make Larger and Smaller Copies of Themselves”
    • · Thirty-Seven Catch Questions · Martin Gardner · ar Scientific American April 1963, as “A Bit of Foolishness for April Fools’ Day”


    Wheels, Life, and Other Mathematical Amusements by Martin Gardner (W.H. Freeman & Co., 1983, 0-7167-1589-9, hc, nf)
    • · Wheels · Martin Gardner · ar Scientific American September 1970, as “On the Cyclical Curves Generated by Wheels That Roll Along Wheels”
    • · Diophantine Analysis and Fermat’s Last Theorem · Martin Gardner · ar Scientific American July 1970, as “Diophantine Analysis and the Problem of Fermat’s Legendary Last Theorem”
    • · The Knotted Molecule and Other Problems · Martin Gardner · ar Scientific American November 1970, as “A New Collection of Short Problems and the Answers to Some of “Life’s””
    • · Alephs and Supertasks · Martin Gardner · ar Scientific American March 1971, as “The Orders of Infinity, the Topological Nature of Dimension and “Supertasks””
    • · Nontransitive Dice and Other Probability Paradoxes · Martin Gardner · ar Scientific American December 1970, as “The Paradox of the Nontransitive Dice and the Elusive Principle of Indifference”
    • · Geometric Fallacies · Martin Gardner · ar Scientific American April 1971, as “Geometric Fallacies: Hidden Errors Pave the Road to Absurd Conclusions”
    • · The Combinatorics of Paper Folding · Martin Gardner · ar Scientific American May 1971, as “The Combinatorial Richness of Folding a Piece of Paper”
    • · A Set of Quickies · Martin Gardner · ar Scientific American July 1971, as “Quickie Problems: Not Hard, but Look Out for the Curves”
    • · Ticktacktoe Games · Martin Gardner · ar Scientific American August 1971, as “Ticktacktoe and Its Complications”
    • · Plaiting Polyhedrons · Martin Gardner · ar Scientific American September 1971, as “The Plaiting of Plato’s Polyhedrons and the Asymmetrical Yin-Yang-Lee”
    • · The Game of Halma · Martin Gardner · ar Scientific American October 1971, as “New Puzzles from the Game of Halma, the Noble Ancestor of Chinese Checkers”
    • · Advertising Premiums · Martin Gardner · ar Scientific American November 1971, as “Advertising Premiums to Beguile the Mind: Classics by Sam Loyd, Master Puzzle-Poser”
    • · Salmon on Austin’s Dog · Martin Gardner · ar Scientific American December 1971, as “Further Encounters with Touching Cubes, and the Paradoxes of Zeno As “Supertasks””
    • · Nim and Hackenbush · Martin Gardner · ar Scientific American January 1972, as “How to Triumph at Nim by Playing Safe, and John Horton Conway’s Game “Hackenbush””
    • · Golomb’s Graceful Graphs · Martin Gardner · ar Scientific American March 1972, as “The Graceful Graphs of Solomon Golomb, or How to Number a Graph Parsimoniously”
    • · Charles Addams’ Skier and Other Problems · Martin Gardner · ar Scientific American April 1972, as “A Topological Problem with a Fresh Twist, and Eight Other New Recreational Puzzles”
    • · Chess Tasks · Martin Gardner · ar Scientific American May 1972, as “Challenging Chess Tasks for Puzzle Buffs and Answers to the Recreational Problems”
    • · Slither, 3X+1, and Other Curious Questions · Martin Gardner · ar Scientific American June 1972, as “A Miscellany of Transcendental Problems: Simple to State but Not at All Easy to Solve”
    • · Mathematical Tricks with Cards · Martin Gardner · ar Scientific American July 1972, as “Amazing Mathematical Card Tricks That Do Not Require Prestidigitation”
    • · The Game of Life, Part I · Martin Gardner · ar Scientific American October 1970, as “The Fantastic Combinations of John Conway’s New Solitaire Game “Life””
    • · The Game of Life, Part II · Martin Gardner · ar Scientific American February 1971, as “On Cellular Automata, Self-Reproduction, the Garden of Eden and the Game “Life””


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