The FictionMags Index


Book Contents Lists: Page 525


PreviousBooks by Author IndexTable-of-Contents

    Last Recreations: Hydras, Eggs, and other Mathematical Mystifications by Martin Gardner (Copernicus Books, 1997, 0-387-94929-1, hc, nf)
    • 1 · The Wonders of a Planiverse · Martin Gardner · ar Scientific American July 1980, as “The Pleasures of Doing Science and Technology in the Planiverse”
    • 27 · Bulgarian Solitaire and Other Seemingly Endless Tasks · Martin Gardner · ar Scientific American August 1983, as “Tasks You Cannot Help Finishing No Matter How Hard You Try to Block Finishing Them”
    • 45 · Fun with Eggs · Martin Gardner · ar Scientific American April 1980, as “Fun with Eggs: Uncooked, Cooked and Mathematic”
    • 67 · The Topology of Knots · Martin Gardner · ar Scientific American September 1983, as “The Topology of Knots, Plus the Results of Douglas Hofstadter’s Luring Lottery”
    • 85 · M-Pire Maps · Martin Gardner · ar Scientific American February 1980, as “The Coloring of Unusual Maps Leads Into Uncharted Territory”
    • 101 · Directed Graphs and Cannibals · Martin Gardner · ar Scientific American March 1980, as “Graphs That Can Help Cannibals, Missionaries, Wolves, Goats and Cabbages Get There from Here”
    • 121 · Dinner Guests, Schoolgirls, and Handcuffed Prisoners · Martin Gardner · ar Scientific American May 1980, as “What Unifies Dinner Guests, Strolling Schoolgirls and Handcuffed Prisoners?”
    • 139 · The Monster and Other Sporadic Groups · Martin Gardner · ar Scientific American June 1980, as “The Capture of the Monster: a Mathematical Group with a Ridiculous Number of Elements”
    • 159 · Taxicab Geometry · Martin Gardner · ar Scientific American November 1980, as “Taxicab Geometry Offers a Free Ride to a Non-Euclidean Locale”
    • 177 · The Power of the Pigeonhole · Martin Gardner · ar Scientific American August 1980, as “On the Fine Art of Putting Players, Pills and Points Into Their Proper Pigeonholes”
    • 191 · Strong Laws of Small Primes · Martin Gardner · ar Scientific American December 1980, as “Patterns in Primes Are a Clue to the Strong Law of Small Numbers”
    • 207 · Checker Recreations · Martin Gardner · ar Scientific American January 1980, as “Checkers, a Game That Can Be More Interesting Than One Might Think”
    • 233 · Modulo Arithmetic and Hummer’s Wicked Witch · Martin Gardner · ar Scientific American February 1981, as “Gauss’s Congruence Theory Was Mod As Early As 1801”
    • 247 · Lavinia Seeks a Room and Other Problems · Martin Gardner · ar Scientific American April 1981, as “How Lavinia Finds a Room on University Avenue, and Other Geometric Problems”
    • 267 · The Symmetry Creations of Scott Kim · Martin Gardner · ar Scientific American June 1981, as “The Inspired Geometrical Symmetries of Scott Kim”
    • 285 · Parabolas · Martin Gardner · ar Scientific American August 1981, as “The Abstract Parabola Fits the Concrete World”
    • 303 · Non-Euclidean Geometry · Martin Gardner · ar Scientific American October 1981, as “Euclid’s Parallel Postulate and Its Modern Offspring”
    • 317 · Voting Mathematics · Martin Gardner · ar Scientific American October 1980, as “From Counting Votes to Making Votes Count: the Mathematics of Elections”
    • 331 · A Toroidal Paradox and Other Problems · Martin Gardner · ar Scientific American December 1979, as “A Pride of Problems, Including One That Is Virtually Impossible”
    • 345 · Minimal Steiner Trees · Martin Gardner · ar Scientific American June 1986, as “Casting a Net on a Checkerboard and Other Puzzles of the Forest ”
    • 361 · Trivalent Graphs, Snarks, and Boojums · Martin Gardner · ar Scientific American April 1976, as “Snarks, Boojums and Other Conjectures Related to the Four-Color-Map Theorem”


    The Magic Numbers of Dr. Matrix by Martin Gardner (Prometheus Books, 1985, 0-87975-281-5, 326pp, hc, nf)
        Subtitled “The Fabulous Feats and Adventures in Number Theory, Sleight of Word, and Numerological Analysis (Literary, Biblical, Political, Philosophical and Psychonumeranalytical) of That Incredible Master Mind”.
    • · Dr. Matrix (Los Angeles) · Martin Gardner · ar Scientific American January 1961, as “In Which the Author Chats Again with Dr. Matrix, Numerologist Extraordinary”
    • · Dr. Matrix (Sing Sing) · Martin Gardner · ar Scientific American January 1963, as “The Author Pays His Annual Visit to Dr. Matrix, the Numerologist”
    • · Dr. Matrix (Chicago) · Martin Gardner · ar Scientific American January 1964, as “Presenting the One and Only Dr. Matrix, Numerologist, in His Annual Performance”
    • · Dr. Matrix (Miami Beach) · Martin Gardner · ar Scientific American January 1965, as “Some Comments by Dr. Matrix on Symmetries and Reversals”
    • · Dr. Matrix (Philadelphia) · Martin Gardner · ar Scientific American January 1966, as “Dr. Matrix Returns, Now in the Guise of a Neo-Freudian Psychonumeranalyst”
    • · Dr. Matrix (Wordsmith College) · Martin Gardner · ar Scientific American January 1967, as “Dr. Matrix Delivers a Talk on Acrostics”
    • · Dr. Matrix (Squaresville) · Martin Gardner · ar Scientific American January 1968, as “The Beauties of the Square, As Expounded by Dr. Matrix to Rehabilitate the Hippie”
    • · Dr. Matrix (Fifth Avenue) · Martin Gardner · ar Scientific American January 1969, as “Dr. Matrix Gives His Explanation of Why Mr. Nixon Was Elected President”
    • · Dr. Matrix (The Moon) · Martin Gardner · ar Scientific American October 1969, as “A Numeranalysis by Dr. Matrix of the Lunar Flight of Apollo 11”
    • · Dr. Matrix (Honolulu) · Martin Gardner · ar Scientific American January 1971, as “Lessons from Dr. Matrix in Chess and Numerology”
    • · Dr. Matrix (Houston) · Martin Gardner · ar Scientific American February 1972, as “Dr. Matrix Poses Some Heteroliteral Puzzles While Peddling Perpetual Motion in Houston”
    • · Dr. Matrix (Clairvoyance Test) · Martin Gardner · ar Scientific American August 1973, as “An Astounding Self-Test of Clairvoyance by Dr. Matrix”
    • · Dr. Matrix (Pyramid Lake) · Martin Gardner · ar Scientific American June 1974, as “Dr. Matrix Brings His Numerological Science to Bear on the Occult Powers of the Pyramid”
    • · Dr. Matrix (The King James Bible) · Martin Gardner · ar Scientific American September 1975, as “Dr. Matrix Finds Numerological Wonders in the King James Bible”
    • · Dr. Matrix (Calcutta) · Martin Gardner · ar Scientific American November 1976, as “In Which Dm (Dr. Matrix) Is Revealed As the Guru of Pm (Pentagonal Meditation)”
    • · Dr. Matrix (Stanford) · Martin Gardner · ar Scientific American December 1977, as “Dr. Matrix Goes to California to Apply Punk to Rock Study”
    • · Dr. Matrix (Chautauqua) · Martin Gardner · ar Scientific American December 1978, as “Is It a Superintelligent Robot or Does Dr. Matrix Ride Again?”
    • · Dr. Matrix (Istanbul) · Martin Gardner · ar Scientific American September 1980, as “Dr. Matrix, Like Mr. Holmes, Comes to an Untimely and Mysterious End”


    Martin Gardner’s New Mathematical Diversions from Scientific American by Martin Gardner (Simon & Schuster, 1966, hc, nf)
    • · The Binary System · Martin Gardner · ar Scientific American December 1960, as “Some Recreations Involving the Binary Number System”
    • · Group Theory and Braids · Martin Gardner · ar Scientific American December 1959, as “Diversions That Clarify Group Theory, Particularly by the Weaving of Braids”
    • · Eight Problems · Martin Gardner · ar Scientific American February 1960, as “A Fifth Collection of “Brain-Teasers””
    • · The Games and Puzzles of Lewis Carroll · Martin Gardner · ar Scientific American March 1960
    • · Paper Cutting · Martin Gardner · ar Scientific American June 1960, as “Recreations Involving Folding and Cutting Sheets of Paper”
    • · Board Games · Martin Gardner · ar Scientific American April 1960, as “About Mathematical Games That Are Played on Boards”
    • · Packing Spheres · Martin Gardner · ar Scientific American May 1960, as “Reflections on the Packing of Spheres”
    • · The Transcendental Number Pi · Martin Gardner · ar Scientific American July 1960, as “Incidental Information About the Extraordinary Number Pi”
    • · Victor Eigen: Mathemagician · Martin Gardner · ar Scientific American August 1960, as “An Imaginary Dialogue on “Mathemagic”: Tricks Based on Mathematical Principles”
    • · The Four-Color Map Theorem · Martin Gardner · ar Scientific American September 1960, as “The Celebrated Four-Color Map Problem of Topology”
    • · Mr. Apollinax Visits New York · Martin Gardner · ar Scientific American May 1961, as “In Which the Editor of This Department Meets the Legendary Bertrand Apollinax”
    • · Nine Problems · Martin Gardner · ar Scientific American October 1960, as “A New Collection of “Brain-Teasers””
    • · Polyominoes and Fault-Free Rectangles · Martin Gardner · ar Scientific American November 1960, as “More About the Shapes That Can Be Made with Complex Dominoes”
    • · Euler’s Spoilers: the Discovery of an Order-10 Graeco-Latin Square · Martin Gardner · ar Scientific American November 1959, as “How Three Modern Mathematicians Disproved a Celebrated Conjecture of Leonhard Euler”
    • · The Ellipse · Martin Gardner · ar Scientific American February 1961, as “Diversions That Involve One of the Classic Conic Sections: the Ellipse”
    • · The 24 Color Squares and the 30 Color Cubes · Martin Gardner · ar Scientific American March 1961, as “How to Play Dominoes in Two and Three Dimensions”
    • · H.S.M Coxeter · Martin Gardner · ar Scientific American April 1961, as “Concerning the Diversions in a New Book on Geometry”
    • · Bridg-It and Other Games · Martin Gardner · ar Scientific American July 1961, as “Some Diverting Mathematical Board Games”
    • · Nine More Problems · Martin Gardner · ar Scientific American June 1961, as “A New Collection of “Brain-Teasers””
    • · The Calculus of Finite Differences · Martin Gardner · ar Scientific American August 1961, as “Some Entertainments That Involve the Calculus of Finite Differences”


    Martin Gardner’s Sixth Book of Mathematical Games from Scientific American by Martin Gardner (W.H. Freeman & Co., 1971, hc, nf)
    • · The Helix · Martin Gardner · ar Scientific American June 1963, as “A Discussion of Helical Structures, from Corkscrews to Dna Molecules”
    • · Klein Bottles and Other Surfaces · Martin Gardner · ar Scientific American July 1963, as “Topological Diversions, Including a Bottle with No Inside or Outside”
    • · Combinatorial Theory · Martin Gardner · ar Scientific American August 1963, as “Permutations and Paradoxes in Combinatorial Mathematics”
    • · Bouncing Balls in Polygons and Polyhedrons · Martin Gardner · ar Scientific American September 1963, as “How to Solve Puzzles by Graphing the Rebounds of a Bouncing Ball”
    • · Four Unusual Board Games · Martin Gardner · ar Scientific American October 1963, as “About Two New and Two Old Mathematical Board Games”
    • · The Rigid Square and Eight Other Problems · Martin Gardner · ar Scientific American November 1963, as “A Mixed Bag of Problems”
    • · Sliding-Block Puzzles · Martin Gardner · ar Scientific American February 1964, as “The Hypnotic Fascination of Sliding-Block Puzzles”
    • · Parity Checks · Martin Gardner · ar Scientific American December 1963, as “How to Use the Odd-Even Check for Tricks and Problem-Solving”
    • · Patterns and Primes · Martin Gardner · ar Scientific American March 1964, as “The Remarkable Lore of the Prime Numbers”
    • · Graph Theory · Martin Gardner · ar Scientific American April 1964, as “Various Problems Based on Planar Graphs, or Sets of Vertices Connected by Edges”
    • · The Ternary System · Martin Gardner · ar Scientific American May 1964, as “The Tyranny of 10 Overthrown with the Ternary Number System”
    • · The Trip Around the Moon and Seven Other Problems · Martin Gardner · ar Scientific American June 1964, as “A Collection of Short Problems and More Talk of Prime Numbers”
    • · The Cycloid: Helen of Geometry · Martin Gardner · ar Scientific American July 1964, as “Curious Properties of a Cycloid Curve”
    • · Mathematical Magic Tricks · Martin Gardner · ar Scientific American August 1964, as “Concerning Several Magic Tricks Based on Mathematical Principles”
    • · Word Play · Martin Gardner · ar Scientific American September 1964, as “Puns, Palindromes and Other Word Games That Partake of the Mathematical Spirit”
    • · The Pythagorean Theorem · Martin Gardner · ar Scientific American October 1964, as “Simple Proofs of the Pythagorean Theorem, and Sundry Other Matters”
    • · Limits of Infinite Series · Martin Gardner · ar Scientific American November 1964, as “Some Paradoxes and Puzzles Involving Infinite Series and the Concept of Limit”
    • · Polyiamonds · Martin Gardner · ar Scientific American December 1964, as “On Polyiamonds: Shapes That Are Made Out of Equilateral Triangles”
    • · Tetrahedrons · Martin Gardner · ar Scientific American February 1965, as “Tetrahedrons in Nature and Architecture, and Puzzles Involving This Simplest Polyhedron”
    • · Coleridge’s Apples and Eight Other Problems · Martin Gardner · ar Scientific American March 1965, as “A New Group of Short Problems”
    • · The Lattice of Integers · Martin Gardner · ar Scientific American May 1965, as “The Lattice of Integers Considered As an Orchard or a Billiard Table”
    • · Infinite Regress · Martin Gardner · ar Scientific American April 1965, as “The Infinite Regress in Philosophy, Literature and Mathematical Proof”
    • · O’gara, the Mathematical Mailman · Martin Gardner · ar Scientific American June 1965, as “Some Diversions and Problems from Mr. O’gara, the Postman”
    • · Op Art · Martin Gardner · ar Scientific American July 1965, as “On the Relation Between Mathematics and the Ordered Patterns of Op Art”
    • · Extraterrestrial Communication · Martin Gardner · ar Scientific American August 1965, as “Thoughts on the Task of Communication with Intelligent Organisms on Other Worlds”


    Mathematical Carnival by Martin Gardner (Knopf, 1975, hc, nf)
    • · Sprouts and Brussels Sprouts · Martin Gardner · ar Scientific American July 1967, as “Of Sprouts and Brussels Sprouts, Games with a Topological Flavor”
    • · Penny Puzzles · Martin Gardner · ar Scientific American February 1966, as “Recreational Numismatics, or a Purse of Coin Puzzles”
    • · Aleph-Null and Aleph-One · Martin Gardner · ar Scientific American March 1966, as “The Hierarchy of Infinities and the Problems It Spawns”
    • · Hypercubes · Martin Gardner · ar Scientific American November 1966, as “Is It Possible to Visualize a Four-Dimensional Figure?”
    • · Magic Stars and Polyhedrons · Martin Gardner · ar Scientific American December 1965, as “Magic Stars, Graphs and Polyhedrons”
    • · Calculating Prodigies · Martin Gardner · ar Scientific American April 1967, as “The Amazing Feats of Professional Mental Calculators, and Some Tricks of the Trade”
    • · Tricks of Lightning Calculators · Martin Gardner · ar Scientific American May 1967, as “Cube-Root Extraction and the Calendar Trick, or How to Cheat in Mathematics”
    • · The Art of M. C. Escher · Martin Gardner · ar Scientific American April 1966, as “The Eerie Mathematical Art of Maurits C. Escher”
    • · The Red-Faced Cube and Other Problems · Martin Gardner · ar Scientific American November 1965, as “A Selection of Elementary Word and Number Problems”
    • · Card Shuffles · Martin Gardner · ar Scientific American October 1966, as “Can the Shuffling of Cards (And Other Apparently Random Events) Be Reversed?”
    • · Mrs. Perkins’ Quilt and Other Square-Packing Problems · Martin Gardner · ar Scientific American September 1966, as “The Problem of Mrs. Perkins’ Quilt”
    • · The Numerology of Dr. Fliess · Martin Gardner · ar Scientific American July 1966, as “Freud’s Friend Wilhelm Fliess and His Theory of Male and Female Life Cycles”
    • · Random Numbers · Martin Gardner · ar Scientific American July 1968, as “On the Meaning of Randomness and Some Ways of Achieving It”
    • · The Rising Hourglass and Other Physics Puzzles · Martin Gardner · ar Scientific American August 1966, as “Puzzles That Can Be Solved by Reasoning Based on Elementary Physical Principles”
    • · Pascal’s Triangle · Martin Gardner · ar Scientific American December 1966, as “The Multiple Charms of Pascal’s Triangle”
    • · Jam, Hot, and Other Games · Martin Gardner · ar Scientific American February 1967, as “Mathematical Strategies for Two-Person Contests”
    • · Cooks and Quibble-Cooks · Martin Gardner · ar Scientific American May 1966, as “How to Cook a Puzzle, or Mathematical One-Uppery”
    • · Piet Hein’s Superellipse · Martin Gardner · ar Scientific American September 1965, as “The Superellipse: a Curve That Lies Between the Ellipse and the Rectangle”
    • · How to Trisect an Angle · Martin Gardner · ar Scientific American June 1966, as “The Persistence (And Futility) of Efforts to Trisect the Angle”


    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



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