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    Fractal Music, Hypercards and More…: Mathematical Recreations from Scientific American by Martin Gardner (W.H. Freeman & Co., 1992, hc, nf)
    • · White, Brown, and Fractal Music · Martin Gardner · ar Scientific American April 1978, as “White and Brown Music, Fractal Curves and One-Over-F Fluctuations”
    • · The Tinkly Temple Bells · Martin Gardner · ar Scientific American May 1978, as “The Bells: Versatile Numbers That Can Count Partitions of a Set, Primes and Even Rhymes”
    • · Mathematical Zoo · Martin Gardner · ar Scientific American June 1978, as “A Mathematical Zoo of Astounding Critters, Imaginary and Otherwise”
    • · Charles Sanders Peirce · Martin Gardner · ar Scientific American July 1978, as “On Charles Sanders Peirce: Philosopher and Gamesman”
    • · Twisted Prismatic Rings · Martin Gardner · ar Scientific American August 1978, as “A Möbius Band Has a Finite Thickness, and So It Is Actually a Twisted Prism”
    • · The Thirty Color Cubes · Martin Gardner · ar Scientific American September 1978, as “Puzzling Over a Problem-Solving Matrix, Cubes of Many Colors and Three-Dimensional Dominoes”
    • · Egyptian Fractions · Martin Gardner · ar Scientific American October 1978, as “Puzzles and Number-Theory Problems Arising from the Curious Fractions of Ancient Egypt”
    • · Minimal Sculpture · Martin Gardner · ar Scientific American November 1978, as “In Which a Mathematical Aesthetic Is Applied to Modern Minimal Art”
    • · Tangent Circles · Martin Gardner · ar Scientific American January 1979, as “The Diverse Pleasures of Circles That Are Tangent to One Another”
    • · The Rotating Table and Other Problems · Martin Gardner · ar Scientific American February 1979, as “About Rectangling Rectangles, Parodying Poe and Many Another Pleasing Problem”
    • · Does Time Ever Stop? Can the Past Be Altered? · Martin Gardner · ar Scientific American March 1979, as “On Altering the Past, Delaying the Future and Other Ways of Tampering with Time”
    • · Generalized Ticktacktoe · Martin Gardner · ar Scientific American April 1979, as “In Which Players of Tic-Tac-Toe Are Taught to Hunt Bigger Game”
    • · Psychic Wonders and Probability · Martin Gardner · ar Scientific American May 1979, as “How to Be a Psychic, Even if You Are a Horse or Some Other Animal”
    • · Mathematical Chess Problems · Martin Gardner · ar Scientific American June 1979, as “Chess Problems on a Higher Plane, Including Mirror Images, Rotations and the Superqueen”
    • · Douglas Hofstadter’s Gödel, Escher, Bach · Martin Gardner · ar Scientific American July 1979, as “Douglas R. Hofstadter’s “Gödel, Escher, Bach””
    • · Imaginary Numbers · Martin Gardner · ar Scientific American August 1979, as “The Imaginableness of the Imaginary Numbers”
    • · Pi and Poetry: Some Accidental Patterns · Martin Gardner · ar Scientific American September 1979, as “In Some Patterns of Numbers or Words There May Be Less Than Meets the Eye”
    • · Packing Squares · Martin Gardner · ar Scientific American October 1979, as “Some Packing Problems That Cannot Be Solved by Sitting on the Suitcase”
    • · Chaitin’s Omega · Martin Gardner · ar Scientific American November 1979, as “The Random Number Omega Bids Fair to Hold the Mysteries of the Universe”

    Knotted Doughnuts and Other Mathematical Entertainments by Martin Gardner (W.H. Freeman & Co., 1986, 0-7167-1799-9, hc, nf)
    • · Coincidence · Martin Gardner · ar Scientific American October 1972, as “Why the Long Arm of Coincidence Is Usually Not As Long As It Seems”
    • · The Binary Gray Code · Martin Gardner · ar Scientific American August 1972, as “The Curious Properties of the Gray Code and How It Can Be Used to Solve Puzzles”
    • · Polycubes · Martin Gardner · ar Scientific American September 1972, as “Pleasurable Problems with Polycubes, and the Winning Strategy for Slither”
    • · Bacon’s Cipher · Martin Gardner · ar Scientific American November 1972, as “On the Practical Uses and Bizarre Abuses of Sir Francis Bacon’s Biliteral Cipher”
    • · Doughnuts: Linked and Knotted · Martin Gardner · ar Scientific American December 1972, as “Knotty Problems with a Two-Hole Torus”
    • · The Tour of the Arrows and Other Problems · Martin Gardner · ar Scientific American May 1973, as “A New Miscellany of Problems, and Encores for Race Track, Sim, Chomp and Elevators”
    • · Napier’s Bones · Martin Gardner · ar Scientific American March 1973, as “The Calculating Rods of John Napier, the Eccentric Father of the Logarithm”
    • · Napier’s Abacus · Martin Gardner · ar Scientific American April 1973, as “How to Turn a Chessboard Into a Computer and to Calculate with Negabinary Numbers”
    • · Sim, Chomp, and Race Track · Martin Gardner · ar Scientific American January 1973, as “Sim, Chomp and Race Track: New Games for the Intellect (And Not for Lady Luck)”
    • · Elevators · Martin Gardner · ar Scientific American February 1973, as “Up-And-Down Elevator Games and Piet Hein’s Mechanical Puzzles”
    • · Crossing Numbers · Martin Gardner · ar Scientific American June 1973, as “Plotting the Crossing Number of Graphs”
    • · Point Sets on the Sphere · Martin Gardner · ar Scientific American September 1973, as “Problems on the Surface of a Sphere Offer an Entertaining Introduction to Point Sets”
    • · Newcomb’s Paradox · Martin Gardner · ar Scientific American July 1973, as “Free Will Revisited, with a Mind-Bending Prediction Paradox by William Newcomb”
    • · Reflections on Newcomb’s Paradox · Martin Gardner · ar Scientific American March 1974, as “Reflections on Newcomb’s Problem: a Prediction and Free-Will Dilemma”
    • · Reverse the Fish and Other Problems · Martin Gardner · ar Scientific American April 1974, as “Nine Challenging Problems, Some Rational and Some Not”
    • · Look-See Proofs · Martin Gardner · ar Scientific American October 1973, as ““Look-See” Diagrams That Offer Visual Proof of Complex Algebraic Formulas”
    • · Worm Paths · Martin Gardner · ar Scientific American November 1973, as “Paterson’s Worms, Fantastic Patterns Traced by Programmed “Worms””
    • · Waring’s Problems · Martin Gardner · ar Scientific American December 1973, as “On Expressing Integers As the Sum of Cubes and Other Unsolved Number-Theory Problems”
    • · Cram, Bynum and Quadraphage · Martin Gardner · ar Scientific American February 1974, as “Cram, Crosscram and Quadraphage: New Games Having Elusive Winning Strategies”
    • · The I Ching · Martin Gardner · ar Scientific American January 1974, as “The Combinatorial Basis of the “I Ching,” the Chinese Book of Divination and Wisdom”
    • · The Laffer Curve · Martin Gardner · ar Scientific American December 1981, as “The Laffer Curve and Other Laughs in Current Economics”

    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”

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