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    Mathematical Circus by Martin Gardner (Knopf, 1979, hc, nf)
    • · Optical Illusions · Martin Gardner · ar Scientific American May 1970, as “Of Optical Illusions, from Figures That Are Undecidable to Hot Dogs That Float”
    • · Matches · Martin Gardner · ar Scientific American July 1969, as “Tricks, Games and Puzzles That Employ Matches As Counters and Line Segments”
    • · Spheres and Hyperspheres · Martin Gardner · ar Scientific American May 1968, as “Circles and Spheres, and How They Kiss and Pack”
    • · Patterns of Induction · Martin Gardner · ar Scientific American November 1969, as “A New Pencil-And-Paper Game Based on Inductive Reasoning”
    • · Elegant Triangles · Martin Gardner · ar Scientific American June 1970, as “Elegant Triangle Theorems Not to Be Found in Euclid”
    • · Random Walks and Gambling · Martin Gardner · ar Scientific American May 1969, as “The Rambling Random Walk and Its Gambling Equivalent”
    • · Random Walks on the Plane and in Space · Martin Gardner · ar Scientific American June 1969, as “Random Walks, by Semidrunk Bugs and Others, on the Square and on the Cube”
    • · Boolean Algebra · Martin Gardner · ar Scientific American February 1969, as “Boolean Algebra, Venn Diagrams and the Propositional Calculus”
    • · Can Machines Think? · Martin Gardner · ar Scientific American June 1971, as “The Turing Game and the Question It Presents: Can a Computer Think?”
    • · Cyclic Numbers · Martin Gardner · ar Scientific American March 1970, as “Cyclic Numbers and Their Properties”
    • · Eccentric Chess and Other Problems · Martin Gardner · ar Scientific American February 1970, as “Nine New Puzzles to Solve”
    • · Dominoes · Martin Gardner · ar Scientific American December 1969, as “A Handful of Combinatorial Problems Based on Dominoes”
    • · Fibonacci and Lucas Numbers · Martin Gardner · ar Scientific American March 1969, as “The Multiple Fascinations of the Fibonacci Sequence”
    • · Simplicity · Martin Gardner · ar Scientific American August 1969, as “Simplicity As a Scientific Concept: Does Nature Keep Her Accounts on a Thumbnail?”
    • · The Rotating Round Table and Other Problems · Martin Gardner · ar Scientific American April 1969, as “An Octet of Problems That Emphasize Gamesmanship, Logic and Probability”
    • · Solar System Oddities · Martin Gardner · ar Scientific American April 1970, as “Some Mathematical Curiosities Embedded in the Solar System”
    • · Mascheroni Constructions · Martin Gardner · ar Scientific American September 1969, as “Geometric Constructions with a Compass and a Straightedge, and Also with a Compass Alone”
    • · The Abacus · Martin Gardner · ar Scientific American January 1970, as “The Abacus: Primitive but Effective Digital Computer”
    • · Palindromes: Words and Numbers · Martin Gardner · ar Scientific American August 1970, as “Backward Run Numbers, Letters, Words and Sentences Until Boggles the Mind”
    • · Dollar Bills · Martin Gardner · ar Scientific American April 1968, as “Puzzles and Tricks with a Dollar Bill”

    Mathematical Magic Show by Martin Gardner (Knopf, 1977, hc, nf)
    • · Nothing · Martin Gardner · ar Scientific American February 1975, as “How the Absence of Anything Leads to Thoughts of Nothing”
    • · Game Theory, Guess It, Foxholes · Martin Gardner · ar Scientific American December 1967, as “Game Theory Is Applied (For a Change) to Games”
    • · Factorial Oddities · Martin Gardner · ar Scientific American August 1967, as “In Which a Computer Prints Out Mammoth Polygonal Factorials”
    • · The Cocktail Cherry and Other Problems · Martin Gardner · ar Scientific American November 1967, as “A Mixed Bag of Logical and Illogical Problems to Solve”
    • · Double Acrostics · Martin Gardner · ar Scientific American September 1967, as “Double Acrostics, Stylized Victorian Ancestors of Today’s Crossword Puzzle”
    • · Playing Cards · Martin Gardner · ar Scientific American June 1968, as “Combinatorial Possibilities in a Pack of Shuffled Cards”
    • · Finger Arithmetic · Martin Gardner · ar Scientific American September 1968, as “Counting Systems and the Relationship Between Numbers and the Real World”
    • · Möbius Bands · Martin Gardner · ar Scientific American December 1968, as “The World of the Möbius Strip: Endless, Edgeless and One-Sided”
    • · Ridiculous Questions · Martin Gardner · ar Scientific American August 1968, as “An Array of Puzzles and Tricks, with a Few Traps for the Unwary”
    • · Polyhexes and Polyaboloes · Martin Gardner · ar Scientific American June 1967, as “The Polyhex and the Polyabolo, Polygonal Jigsaw Puzzle Pieces”
    • · Perfect, Amicable, Sociable · Martin Gardner · ar Scientific American March 1968, as “A Short Treatise on the Useless Elegance of Perfect Numbers and Amicable Pairs”
    • · Polyominoes and Rectification · Martin Gardner · ar Scientific American October 1965, as “Pentominoes and Polyominoes: Five Games and a Sampling of Problems”
    • · Knights of the Square Table · Martin Gardner · ar Scientific American October 1967, as “Problems That Are Built on the Knight’s Move in Chess”
    • · The Dragon Curve and Other Problems · Martin Gardner · ar Scientific American March 1967, as “An Array of Problems That Can Be Solved with Elementary Mathematical Techniques”
    • · Colored Triangles and Cubes · Martin Gardner · ar Scientific American October 1968, as “Macmahon’s Color Triangles and the Joys of Fitting Them Together”
    • · Trees · Martin Gardner · ar Scientific American February 1968, as “Combinatorial Problems Involving Tree Graphs and Forests of Trees”
    • · Dice · Martin Gardner · ar Scientific American November 1968, as “On the Ancient Lore of Dice and the Odds Against Making a Point”
    • · Everything · Martin Gardner · ar Scientific American May 1976, as “A Few Words About Everything There Was, Is and Ever Will Be”

    Mathematical Puzzles and Diversions by Martin Gardner (Pelican, 1966, A713, 3/6d, 155pp, pb, nf)
        Reissue (Simon & Schuster 1959) collection of columns from Scientific American.
    • 9 · Introduction · Martin Gardner · in
    • 13 · Hexaflexagons · Martin Gardner · ar Scientific American December 1956
    • 24 · Magic with a Matrix · Martin Gardner · ar Scientific American January 1957, as “A New Kind of Magic Square with Remarkable Properties”
    • 30 · Nine Problems · Martin Gardner · ar Scientific American February 1957, as “An Assortment of Maddening Puzzles”
    • 42 · Ticktacktoe, or Noughts and Crosses · Martin Gardner · ar Scientific American March 1957, as “Some Old and New Versions of Ticktacktoe”
    • 50 · Probability Paradoxes · Martin Gardner · ar Scientific American April 1957, as “Paradoxes Dealing with Birthdays, Playing Cards, Coins, Crows and Red-Haired Typists”
    • 56 · The Icosian Game and the Tower of Hanoi · Martin Gardner · ar Scientific American May 1957, as “About the Remarkable Similarity Between the Icosian Game and the Tower of Hanoi”
    • 62 · Curious Topological Models · Martin Gardner · ar Scientific American June 1957, as “Curious Figures Descended from the Möbius Band, Which Has Only One Side and One Edge”
    • 70 · The Game of Hex · Martin Gardner · ar Scientific American July 1957, as “Concerning the Game of Hex, Which May Be Played on the Tiles of the Bathroom Floor”
    • 78 · Sam Loyd: America’s Greatest Puzzlist · Martin Gardner · ar Scientific American August 1957, as “The Life and Work of Sam Loyd, a Mighty Inventor of Puzzles”
    • 87 · Mathematical Card Tricks · Martin Gardner · ar Scientific American September 1957, as “Concerning Various Card Tricks with a Mathematical Message”
    • 92 · Memorizing Numbers · Martin Gardner · ar Scientific American October 1957, as “How to Remember Numbers by Mnemonic Devices Such as Cuff Links and Red Zebras”
    • 99 · Nine More Problems · Martin Gardner · ar Scientific American November 1957, as “Nine Titillating Puzzles”
    • 112 · Polyominoes · Martin Gardner · ar Scientific American December 1957, as “More About Complex Dominoes”
    • 126 · Fallacies · Martin Gardner · ar Scientific American January 1958, as “A Collection of Tantalizing Fallacies of Mathematics”
    • 133 · Nim and Tac Tix · Martin Gardner · ar Scientific American February 1958, as “Concerning the Game of Nim and Its Mathematical Analysis”
    • 142 · Left or Right? · Martin Gardner · ar Scientific American March 1958, as “About Left- and Right-Handedness, Mirror Images and Kindred Matters”
    • 151 · References for Further Reading · Martin Gardner · ms

    More Mathematical Puzzles and Diversions by Martin Gardner (Pelican, 1966, 4/-, 187pp, pb, nf)
        Reprint (Simon & Schuster 1961) collection of columns from Scientific American.
    • 9 · Introduction · Martin Gardner · in
    • 11 · The Five Platonic Solids · Martin Gardner · ar Scientific American December 1958, as “Diversions Which Involve the Five Platonic Solids”
    • 19 · Tetraflexagons · Martin Gardner · ar Scientific American May 1958, as “About Tetraflexagons and Tetraflexagation”
    • 25 · Henry Ernest Dudeney: England’s Greatest Puzzlist · Martin Gardner · ar Scientific American June 1958, as “About Henry Ernest Dudeney, a Brilliant Creator of Puzzles”
    • 33 · Digital Roots · Martin Gardner · ar Scientific American July 1958, as “Some Diverting Tricks Which Involve the Concept of Numerical Congruence”
    • 39 · Nine Problems · Martin Gardner · ar Scientific American August 1958, as “A Third Collection of “Brain-Teasers””
    • 50 · The Soma Cube · Martin Gardner · ar Scientific American September 1958, as “A Game in Which Standard Pieces Composed of Cubes Are Assembled Into Larger Forms”
    • 60 · Recreational Topology · Martin Gardner · ar Scientific American October 1958, as “Four Mathematical Diversions Involving Concepts of Topology”
    • 69 · Phi: The Golden Ratio · Martin Gardner · ar Scientific American November 1958, as “How Rectangles, Including Squares, Can Be Divided Into Squares of Unequal Size”
    • 82 · The Monkey and the Coconuts · Martin Gardner · ar Scientific American April 1958, as “Concerning the Celebrated Puzzle of Five Sailors, a Monkey and a Pile of Coconuts”
    • 88 · Mazes · Martin Gardner · ar Scientific American January 1959, as “About Mazes and How They Can Be Traversed”
    • 94 · Recreational Logic · Martin Gardner · ar Scientific American February 1959, as ““Brain-Teasers” That Involve Formal Logic”
    • 104 · Magic Squares · Martin Gardner · ar Scientific American March 1959, as “Concerning the Properties of Various Magic Squares”
    • 111 · James Hugh Riley Shows, Inc. · Martin Gardner · ar Scientific American April 1959, as “The Mathematical Diversions of a Fictitious Carnival Man”
    • 120 · Nine More Problems · Martin Gardner · ar Scientific American May 1959, as “Another Collection of “Brain-Teasers””
    • 130 · Eleusis: The Induction Game · Martin Gardner · ar Scientific American June 1959, as “An Inductive Card Game”
    • 137 · Origami · Martin Gardner · ar Scientific American July 1959, as “About Origami, the Japanese Art of Folding Objects out of Paper”
    • 146 · Squaring the Square · Martin Gardner · ar Scientific American August 1959, as “About phi, an Irrational Number That Has Some Remarkable Geometrical Expressions”
    • 165 · Mechanical Puzzles · Martin Gardner · ar Scientific American September 1959, as “Concerning Mechanical Puzzles, and How an Enthusiast Has Collected 2,000 of Them”
    • 171 · Probability and Ambiguity · Martin Gardner · ar Scientific American October 1959, as “Problems Involving Questions of Probability and Ambiguity”
    • 181 · References for Further Reading · Martin Gardner · ms

    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”

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