- *
**Mathematical Carnival**, (Knopf, 1975, nf) - * Mathematical Chess Problems, (ar)
*Scientific American*June 1979, as "Chess Problems on a Higher Plane, Including Mirror Images, Rotations and the Superqueen" - *
**Mathematical Circus**, (Knopf, 1979, nf) - * The Mathematical Diversions of a Fictitious Carnival Man, (ar)
*Scientific American*April 1959 -
**More Mathematical Puzzles and Diversions**, Pelican, 1966, as "James Hugh Riley Shows, Inc." - * Mathematical Induction and Colored Hats, (ar)
*Scientific American*May 1977, as "The “Jump Proof” and Its Similarity to the Toppling of a Row of Dominoes" - *
**Mathematical Magic Show**, (Knopf, 1977, nf) - * Mathematical Magic Tricks, (ar)
*Scientific American*August 1964, as "Concerning Several Magic Tricks Based on Mathematical Principles" -
**Martin Gardner’s Sixth Book of Mathematical Games from Scientific American**, W.H. Freeman & Co., 1971 - *
**Mathematical Puzzles and Diversions**, (Pelican, 1966, nf) - * Mathematical Strategies for Two-Person Contests, (ar)
*Scientific American*February 1967 -
**Mathematical Carnival**, Knopf, 1975, as "Jam, Hot, and Other Games" - * Mathematical Tricks with Cards, (ar)
*Scientific American*July 1972, as "Amazing Mathematical Card Tricks That Do Not Require Prestidigitation" - * Mathematical Zoo, (ar)
*Scientific American*June 1978, as "A Mathematical Zoo of Astounding Critters, Imaginary and Otherwise" - * A Mathematical Zoo of Astounding Critters, Imaginary and Otherwise, (ar)
*Scientific American*June 1978 -
**Fractal Music, Hypercards and More…: Mathematical Recreations from Scientific American**, W.H. Freeman & Co., 1992, as "Mathematical Zoo" - * Mathematics and the Folkways, (ar)
*Journal of Philosophy*March 30 1950 - * Mazes, (ar)
*Scientific American*January 1959, as "About Mazes and How They Can Be Traversed" - * Mechanical Puzzles, (ar)
*Scientific American*September 1959, as "Concerning Mechanical Puzzles, and How an Enthusiast Has Collected 2,000 of Them" - * Meet Private Eye Oglesby, (ss)
*The London Mystery Magazine*#8, February/March 1951, as "Crunchy Wunchy’s First Case" - * Melody-Making Machines, (ar)
*Scientific American*December 1974, as "The Arts As Combinatorial Mathematics, or How to Compose Like Mozart with Dice" - * Memorizing Numbers, (ar)
*Scientific American*October 1957, as "How to Remember Numbers by Mnemonic Devices Such as Cuff Links and Red Zebras" - * Merlina and the Colored Ice, (ss)
*A.D.*Fall 1951 - * Minimal Sculpture, (ar)
*Scientific American*November 1978, as "In Which a Mathematical Aesthetic Is Applied to Modern Minimal Art" - * Minimal Steiner Trees, (ar)
*Scientific American*June 1986, as "Casting a Net on a Checkerboard and Other Puzzles of the Forest " - * A Miscellany of Transcendental Problems: Simple to State but Not at All Easy to Solve, (ar)
*Scientific American*June 1972 -
**Wheels, Life, and Other Mathematical Amusements**, W.H. Freeman & Co., 1983, as "Slither, 3X+1, and Other Curious Questions" - * The Missing Walnuts, (vi)
*Humpty Dumpty’s Magazine for Little Children*February 1955 - * Miss Medford’s Moon, (nv)
*Esquire*February 1952 - * Mr. Apollinax Visits New York, (ar)
*Scientific American*May 1961, as "In Which the Editor of This Department Meets the Legendary Bertrand Apollinax" -
**Martin Gardner’s New Mathematical Diversions from Scientific American**, Simon & Schuster, 1966 -
**The Night Is Large: Collected Essays, 1938-1995**, Penguin, 1997 - * A Mixed Bag of Logical and Illogical Problems to Solve, (ar)
*Scientific American*November 1967 -
**Mathematical Magic Show**, Knopf, 1977, as "The Cocktail Cherry and Other Problems" - * A Mixed Bag of Problems, (ar)
*Scientific American*November 1963 -
**Martin Gardner’s Sixth Book of Mathematical Games from Scientific American**, W.H. Freeman & Co., 1971, as "The Rigid Square and Eight Other Problems" - * A Möbius Band Has a Finite Thickness, and So It Is Actually a Twisted Prism, (ar)
*Scientific American*August 1978 -
**Fractal Music, Hypercards and More…: Mathematical Recreations from Scientific American**, W.H. Freeman & Co., 1992, as "Twisted Prismatic Rings" - * Möbius Bands, (ar)
*Scientific American*December 1968, as "The World of the Möbius Strip: Endless, Edgeless and One-Sided" - * Modulo Arithmetic and Hummer’s Wicked Witch, (ar)
*Scientific American*February 1981, as "Gauss’s Congruence Theory Was Mod As Early As 1801" - * The Monkey and the Coconuts, (ar)
*Scientific American*April 1958, as "Concerning the Celebrated Puzzle of Five Sailors, a Monkey and a Pile of Coconuts" - * Monorails on Mars, (pz)
*Isaac Asimov’s Science Fiction Magazine*January 1983 - * The Monster and Other Sporadic Groups, (ar)
*Scientific American*June 1980, as "The Capture of the Monster: a Mathematical Group with a Ridiculous Number of Elements" - * More About Complex Dominoes, (ar)
*Scientific American*December 1957 -
**Mathematical Puzzles and Diversions**, Pelican, 1966, as "Polyominoes" - * More About the Shapes That Can Be Made with Complex Dominoes, (ar)
*Scientific American*November 1960 -
**Martin Gardner’s New Mathematical Diversions from Scientific American**, Simon & Schuster, 1966, as "Polyominoes and Fault-Free Rectangles" - * More About Tiling the Plane: the Possibilities of Polyominoes, Polyiamonds, and Polyhexes, (ar)
*Scientific American*August 1975 -
**Time Travel and Other Mathematical Bewilderments**, W.H. Freeman & Co., 1988, as "Tiling with Polyominoes, Polyiamonds, and Polyhexes" - *
**More Mathematical Puzzles and Diversions**, (Pelican, 1966, nf) - * More on Tangrams: Combinatorial Problems and the Game Possibilities of Snug Tangrams, (ar)
*Scientific American*September 1974 -
**Time Travel and Other Mathematical Bewilderments**, W.H. Freeman & Co., 1988, as "Tangrams, Part 2" - * M-Pire Maps, (ar)
*Scientific American*February 1980, as "The Coloring of Unusual Maps Leads Into Uncharted Territory" - * Mrs. Perkins’ Quilt and Other Square-Packing Problems, (ar)
*Scientific American*September 1966, as "The Problem of Mrs. Perkins’ Quilt" - * The Multiple Charms of Pascal’s Triangle, (ar)
*Scientific American*December 1966 -
**Mathematical Carnival**, Knopf, 1975, as "Pascal’s Triangle" - * The Multiple Fascinations of the Fibonacci Sequence, (ar)
*Scientific American*March 1969 -
**Mathematical Circus**, Knopf, 1979, as "Fibonacci and Lucas Numbers" - * Mysterious Smith, (ss)
**The No-Sided Professor**, Prometheus, 1987 - * The Mystery of Free Will, (ar) from
**Whys of a Philosophical Scrivener**, Morrow, 1983 - * Mystery Tiles at Murray Hill, (pz)
*Isaac Asimov’s Science Fiction Magazine*February 15 1982 - * Napier’s Abacus, (ar)
*Scientific American*April 1973, as "How to Turn a Chessboard Into a Computer and to Calculate with Negabinary Numbers" - * Napier’s Bones, (ar)
*Scientific American*March 1973, as "The Calculating Rods of John Napier, the Eccentric Father of the Logarithm" - * Negative Numbers, (ar)
*Scientific American*June 1977, as "The Concept of Negative Numbers and the Difficulty of Grasping It" - * A New Collection of “Brain-Teasers”, (ar)
*Scientific American*October 1960 -
**Martin Gardner’s New Mathematical Diversions from Scientific American**, Simon & Schuster, 1966, as "Nine Problems" - * A New Collection of “Brain-Teasers”, (ar)
*Scientific American*June 1961 -
**Martin Gardner’s New Mathematical Diversions from Scientific American**, Simon & Schuster, 1966, as "Nine More Problems" - * A New Collection of Short Problems and the Answers to Some of “Life’s”, (ar)
*Scientific American*November 1970 -
**Wheels, Life, and Other Mathematical Amusements**, W.H. Freeman & Co., 1983, as "The Knotted Molecule and Other Problems" - * Newcomb’s Paradox, (ar)
*Scientific American*July 1973, as "Free Will Revisited, with a Mind-Bending Prediction Paradox by William Newcomb" -
**Knotted Doughnuts and Other Mathematical Entertainments**, W.H. Freeman & Co., 1986 -
**The Night Is Large: Collected Essays, 1938-1995**, Penguin, 1997 - * The New Eleusis, (ar)
*Scientific American*October 1977, as "On Playing New Eleusis, the Game That Simulates the Search for Truth" - * A New Group of Short Problems, (ar)
*Scientific American*March 1965 -
**Martin Gardner’s Sixth Book of Mathematical Games from Scientific American**, W.H. Freeman & Co., 1971, as "Coleridge’s Apples and Eight Other Problems" - * A New Kind of Cipher That Would Take Millions of Years to Break, (ar)
*Scientific American*August 1977 -
**Penrose Tiles to Trapdoor Ciphers**, W.H. Freeman & Co., 1989, as "Trapdoor Ciphers" - * A New Kind of Magic Square with Remarkable Properties, (ar)
*Scientific American*January 1957 -
**Mathematical Puzzles and Diversions**, Pelican, 1966, as "Magic with a Matrix" - * A New Miscellany of Problems, and Encores for Race Track, Sim, Chomp and Elevators, (ar)
*Scientific American*May 1973 -
**Knotted Doughnuts and Other Mathematical Entertainments**, W.H. Freeman & Co., 1986, as "The Tour of the Arrows and Other Problems" - * A New Paradox, and Variations on It, About a Man Condemned to Be Hanged, (ar)
*Scientific American*March 1963 -
**The Unexpected Hanging and Other Mathematical Diversions**, Simon & Schuster, 1969, as "The Paradox of the Unexpected Hanging" - * A New Pencil-And-Paper Game Based on Inductive Reasoning, (ar)
*Scientific American*November 1969 -
**Mathematical Circus**, Knopf, 1979, as "Patterns of Induction" - * New Puzzles from the Game of Halma, the Noble Ancestor of Chinese Checkers, (ar)
*Scientific American*October 1971 -
**Wheels, Life, and Other Mathematical Amusements**, W.H. Freeman & Co., 1983, as "The Game of Halma" - *
**The Night Is Large: Collected Essays, 1938-1995**, (Penguin, 1997, nf) - * Nim and Hackenbush, (ar)
*Scientific American*January 1972, as "How to Triumph at Nim by Playing Safe, and John Horton Conway’s Game “Hackenbush”" - * Nim and Tac Tix, (ar)
*Scientific American*February 1958, as "Concerning the Game of Nim and Its Mathematical Analysis" - * Nine Challenging Problems, Some Rational and Some Not, (ar)
*Scientific American*April 1974 -
**Knotted Doughnuts and Other Mathematical Entertainments**, W.H. Freeman & Co., 1986, as "Reverse the Fish and Other Problems" - * 987654321, (pz)
*Isaac Asimov’s Science Fiction Magazine*August 1986 - * Nine More Problems, (ar)
*Scientific American*November 1957, as "Nine Titillating Puzzles" - * Nine More Problems, (ar)
*Scientific American*May 1959, as "Another Collection of “Brain-Teasers”" - * Nine More Problems, (ar)
*Scientific American*June 1961, as "A New Collection of “Brain-Teasers”" - * Nine New Puzzles to Solve, (ar)
*Scientific American*February 1970 -
**Mathematical Circus**, Knopf, 1979, as "Eccentric Chess and Other Problems" - * Nine Problems, (ar)
*Scientific American*February 1957, as "An Assortment of Maddening Puzzles" - * Nine Problems, (ar)
*Scientific American*August 1958, as "A Third Collection of “Brain-Teasers”" - * Nine Problems, (ar)
*Scientific American*October 1960, as "A New Collection of “Brain-Teasers”" - * Nine Problems, (ar)
*Scientific American*October 1962, as "A Collection of Puzzles Involving Numbers, Logic, and Probability" - * Nine Titillating Puzzles, (ar)
*Scientific American*November 1957 -
**Mathematical Puzzles and Diversions**, Pelican, 1966, as "Nine More Problems" - * Non-Euclidean Geometry, (ar)
*Scientific American*October 1981, as "Euclid’s Parallel Postulate and Its Modern Offspring" - * Nontransitive Dice and Other Probability Paradoxes, (ar)
*Scientific American*December 1970, as "The Paradox of the Nontransitive Dice and the Elusive Principle of Indifference" - * Nontransitive Paradoxes, (ar)
*Scientific American*October 1974, as "On the Paradoxical Situations That Arise from Nontransitive Relations" - * Nora Says “Check.”, (ss)
*Esquire*January 1948, as "The Lady Says “Check!”" - * No-Sided Professor, (ss)
*Esquire*January 1947 - *
**The No-Sided Professor**, (Prometheus, April 1987, co) - * No-Sided Professor, (ss)
*Esquire*January 1947 -
*The Magazine of Fantasy and Science Fiction*February 1951 -
**The Best from Fantasy and Science Fiction**ed. Anthony Boucher & J. Francis McComas, Little Brown, 1952 -
*The Magazine of Fantasy & Science Fiction (Australia)*#3, 1955 -
**Fantasia Mathematica**ed. Clifton Fadiman, Simon & Schuster, 1958 -
**The Vintage Anthology of Science Fantasy**ed. Christopher Cerf, Vintage, 1966 -
**The No-Sided Professor**, Prometheus, 1987 - * Nothing, (ar)
*Scientific American*February 1975, as "How the Absence of Anything Leads to Thoughts of Nothing" - * No Vacancy at Aleph-Null Inn, (pz)
*Isaac Asimov’s Science Fiction Magazine*September 1980 - * The Number of the Beast, (pz)
*Isaac Asimov’s Science Fiction Magazine*July 1983 - * A Numeranalysis by Dr. Matrix of the Lunar Flight of Apollo 11, (ar)
*Scientific American*October 1969 -
**The Magic Numbers of Dr. Matrix**, Prometheus Books, 1985, as "Dr. Matrix (The Moon)" - * The Numerology of Dr. Fliess, (ar)
*Scientific American*July 1966, as "Freud’s Friend Wilhelm Fliess and His Theory of Male and Female Life Cycles" - * An Octet of Problems That Emphasize Gamesmanship, Logic and Probability, (ar)
*Scientific American*April 1969 -
**Mathematical Circus**, Knopf, 1979, as "The Rotating Round Table and Other Problems" - * Off We’re Going to Shuttle, (pz)
*Isaac Asimov’s Science Fiction Magazine*June 1980 - * Of Optical Illusions, from Figures That Are Undecidable to Hot Dogs That Float, (ar)
*Scientific American*May 1970 -
**Mathematical Circus**, Knopf, 1979, as "Optical Illusions" - * Of Sprouts and Brussels Sprouts, Games with a Topological Flavor, (ar)
*Scientific American*July 1967 -
**Mathematical Carnival**, Knopf, 1975, as "Sprouts and Brussels Sprouts" - * O’gara, the Mathematical Mailman, (ar)
*Scientific American*June 1965, as "Some Diversions and Problems from Mr. O’gara, the Postman" -
**Martin Gardner’s Sixth Book of Mathematical Games from Scientific American**, W.H. Freeman & Co., 1971 - * On Altering the Past, Delaying the Future and Other Ways of Tampering with Time, (ar)
*Scientific American*March 1979 -
**Fractal Music, Hypercards and More…: Mathematical Recreations from Scientific American**, W.H. Freeman & Co., 1992, as "Does Time Ever Stop? Can the Past Be Altered?" - * On Cellular Automata, Self-Reproduction, the Garden of Eden and the Game “Life”, (ar)
*Scientific American*February 1971 -
**Wheels, Life, and Other Mathematical Amusements**, W.H. Freeman & Co., 1983, as "The Game of Life, Part II" - * On Charles Sanders Peirce: Philosopher and Gamesman, (ar)
*Scientific American*July 1978 -
**Fractal Music, Hypercards and More…: Mathematical Recreations from Scientific American**, W.H. Freeman & Co., 1992, as "Charles Sanders Peirce" - * On Checker Jumping, the Amazon Game, Weird Dice, Card Tricks and Other Playful Pastimes, (ar)
*Scientific American*February 1978 -
**Penrose Tiles to Trapdoor Ciphers**, W.H. Freeman & Co., 1989, as "Sicherman Dice, the Kruskal Count and Other Curiosities" - * On Conic Sections, Ruled Surfaces and Other Manifestations of the Hyperbola, (ar)
*Scientific American*September 1977 -
**Penrose Tiles to Trapdoor Ciphers**, W.H. Freeman & Co., 1989, as "Hyperbolas" - * One More Martini, (ss)
*Esquire*February 1950 - * On Expressing Integers As the Sum of Cubes and Other Unsolved Number-Theory Problems, (ar)
*Scientific American*December 1973 -
**Knotted Doughnuts and Other Mathematical Entertainments**, W.H. Freeman & Co., 1986, as "Waring’s Problems" - * On Map Projections (With Special Reference to Some Inspired Ones), (ar)
*Scientific American*November 1975 -
**Time Travel and Other Mathematical Bewilderments**, W.H. Freeman & Co., 1988, as "Curious Maps" - * On Oulipo Algorithms, Anagrams, and Other Nonsense, (pz)
*Isaac Asimov’s Science Fiction Magazine*October 1979 -
**Science Fiction Puzzle Tales**, Penguin, 1983, as "Oulipo Wordplay" - * On Playing New Eleusis, the Game That Simulates the Search for Truth, (ar)
*Scientific American*October 1977 -
**Penrose Tiles to Trapdoor Ciphers**, W.H. Freeman & Co., 1989, as "The New Eleusis" - * On Polyiamonds: Shapes That Are Made Out of Equilateral Triangles, (ar)
*Scientific American*December 1964 -
**Martin Gardner’s Sixth Book of Mathematical Games from Scientific American**, W.H. Freeman & Co., 1971, as "Polyiamonds" - * On Rep-Tiles, Polygons That Can Make Larger and Smaller Copies of Themselves, (ar)
*Scientific American*May 1963 -
**The Unexpected Hanging and Other Mathematical Diversions**, Simon & Schuster, 1969, as "Rep-Tiles: Replicating Figures on the Plane" - * On Tessellating the Plane with Convex Polygon Tiles, (ar)
*Scientific American*July 1975 -
**Time Travel and Other Mathematical Bewilderments**, W.H. Freeman & Co., 1988, as "Tiling with Convex Polygons" - * On the Ancient Lore of Dice and the Odds Against Making a Point, (ar)
*Scientific American*November 1968 -
**Mathematical Magic Show**, Knopf, 1977, as "Dice" - * On the Contradictions of Time Travel, (ar)
*Scientific American*May 1974 - * On the Cyclical Curves Generated by Wheels That Roll Along Wheels, (ar)
*Scientific American*September 1970 - * On the Fabric of Inductive Logic, and Some Probability Paradoxes, (ar)
*Scientific American*March 1976 -
**Time Travel and Other Mathematical Bewilderments**, W.H. Freeman & Co., 1988, as "Induction and Probability" - * On the Fanciful History and the Creative Challenges of the Puzzle Game of Tangrams, (ar)
*Scientific American*August 1974 -
**Time Travel and Other Mathematical Bewilderments**, W.H. Freeman & Co., 1988, as "Tangrams, Part 1" - * On the Fine Art of Putting Players, Pills and Points Into Their Proper Pigeonholes, (ar)
*Scientific American*August 1980 -
**Last Recreations: Hydras, Eggs, and other Mathematical Mystifications**, Copernicus Books, 1997, as "The Power of the Pigeonhole" - * On the Meaning of Randomness and Some Ways of Achieving It, (ar)
*Scientific American*July 1968 -
**Mathematical Carnival**, Knopf, 1975, as "Random Numbers" - * On the Paradoxical Situations That Arise from Nontransitive Relations, (ar)
*Scientific American*October 1974 -
**Time Travel and Other Mathematical Bewilderments**, W.H. Freeman & Co., 1988, as "Nontransitive Paradoxes" - * On the Patterns and the Unusual Properties of Figurate Numbers, (ar)
*Scientific American*July 1974 -
**Time Travel and Other Mathematical Bewilderments**, W.H. Freeman & Co., 1988, as "Hexes and Stars" - * On the Practical Uses and Bizarre Abuses of Sir Francis Bacon’s Biliteral Cipher, (ar)
*Scientific American*November 1972 -
**Knotted Doughnuts and Other Mathematical Entertainments**, W.H. Freeman & Co., 1986, as "Bacon’s Cipher" - * On the Relation Between Mathematics and the Ordered Patterns of Op Art, (ar)
*Scientific American*July 1965 -
**Martin Gardner’s Sixth Book of Mathematical Games from Scientific American**, W.H. Freeman & Co., 1971, as "Op Art" - * On the Remarkable Császár Polyhedron and Its Applications in Problem Solving, (ar)
*Scientific American*May 1975 -
**Time Travel and Other Mathematical Bewilderments**, W.H. Freeman & Co., 1988, as "The Császár Polyhedron" - * On the Theory of Probability and the Practice of Gambling, (ar)
*Scientific American*December 1961 -
**The Unexpected Hanging and Other Mathematical Diversions**, Simon & Schuster, 1969, as "Scarne on Gambling" - * On to Charmian, (pz)
*Isaac Asimov’s Science Fiction Magazine*March 1984 - * Oom, (vi)
*The Journal of Science-Fiction*Fall 1951 -
**100 Great Science Fiction Short Short Stories**ed. Isaac Asimov, Martin H. Greenberg & Joseph D. Olander, Doubleday, 1978 -
**The No-Sided Professor**, Prometheus, 1987 - * Op Art, (ar)
*Scientific American*July 1965, as "On the Relation Between Mathematics and the Ordered Patterns of Op Art" -
**Martin Gardner’s Sixth Book of Mathematical Games from Scientific American**, W.H. Freeman & Co., 1971 - * Optical Illusions, (ar)
*Scientific American*May 1970, as "Of Optical Illusions, from Figures That Are Undecidable to Hot Dogs That Float" - * The Orders of Infinity, the Topological Nature of Dimension and “Supertasks”, (ar)
*Scientific American*March 1971 -
**Wheels, Life, and Other Mathematical Amusements**, W.H. Freeman & Co., 1983, as "Alephs and Supertasks" - * Origami, (ar)
*Scientific American*July 1959, as "About Origami, the Japanese Art of Folding Objects out of Paper" - * The Oulipo, (ar)
*Scientific American*February 1977, as "The Flip-Strip Sonnet, the Lipogram and Other Mad Modes of Wordplay" - * Oulipo Wordplay, (pz)
*Isaac Asimov’s Science Fiction Magazine*October 1979, as "On Oulipo Algorithms, Anagrams, and Other Nonsense" - * Packing Spheres, (ar)
*Scientific American*May 1960, as "Reflections on the Packing of Spheres" - * Packing Squares, (ar)
*Scientific American*October 1979, as "Some Packing Problems That Cannot Be Solved by Sitting on the Suitcase" - * Palindromes and Primes, (pz)
*Isaac Asimov’s Science Fiction Magazine*June 1982 - * Palindromes: Words and Numbers, (ar)
*Scientific American*August 1970, as "Backward Run Numbers, Letters, Words and Sentences Until Boggles the Mind" - * Paper Cutting, (ar)
*Scientific American*June 1960, as "Recreations Involving Folding and Cutting Sheets of Paper" - * Parabolas, (ar)
*Scientific American*August 1981, as "The Abstract Parabola Fits the Concrete World" - * Paradoxes Dealing with Birthdays, Playing Cards, Coins, Crows and Red-Haired Typists, (ar)
*Scientific American*April 1957 -
**Mathematical Puzzles and Diversions**, Pelican, 1966, as "Probability Paradoxes" - * The Paradox of the Nontransitive Dice and the Elusive Principle of Indifference, (ar)
*Scientific American*December 1970 -
**Wheels, Life, and Other Mathematical Amusements**, W.H. Freeman & Co., 1983, as "Nontransitive Dice and Other Probability Paradoxes" - * The Paradox of the Unexpected Hanging, (ar)
*Scientific American*March 1963, as "A New Paradox, and Variations on It, About a Man Condemned to Be Hanged" - * Parallel Pasts, (pz)
*Isaac Asimov’s Science Fiction Magazine*October 26 1981 - * Parity Checks, (ar)
*Scientific American*December 1963, as "How to Use the Odd-Even Check for Tricks and Problem-Solving" -
**Martin Gardner’s Sixth Book of Mathematical Games from Scientific American**, W.H. Freeman & Co., 1971 - * Part III: Pseudoscience, (is)
**The Night Is Large: Collected Essays, 1938-1995**, Penguin, 1997 - * Part II: Social Science, (is)
**The Night Is Large: Collected Essays, 1938-1995**, Penguin, 1997 - * Part I: Physical Science, (is)
**The Night Is Large: Collected Essays, 1938-1995**, Penguin, 1997 - * Part IV: Mathematics, (is)
**The Night Is Large: Collected Essays, 1938-1995**, Penguin, 1997 - * Part VII: Religion, (is)
**The Night Is Large: Collected Essays, 1938-1995**, Penguin, 1997 - * Part VI: Philosophy, (is)
**The Night Is Large: Collected Essays, 1938-1995**, Penguin, 1997 - * Part V: The Arts, (is)
**The Night Is Large: Collected Essays, 1938-1995**, Penguin, 1997 - * Pascal’s Triangle, (ar)
*Scientific American*December 1966, as "The Multiple Charms of Pascal’s Triangle" - * Paterson’s Worms, Fantastic Patterns Traced by Programmed “Worms”, (ar)
*Scientific American*November 1973 - * Patterns and Primes, (ar)
*Scientific American*March 1964, as "The Remarkable Lore of the Prime Numbers" -
**Martin Gardner’s Sixth Book of Mathematical Games from Scientific American**, W.H. Freeman & Co., 1971 - * Patterns in Primes Are a Clue to the Strong Law of Small Numbers, (ar)
*Scientific American*December 1980 -
**Last Recreations: Hydras, Eggs, and other Mathematical Mystifications**, Copernicus Books, 1997, as "Strong Laws of Small Primes" - * Patterns of Induction, (ar)
*Scientific American*November 1969, as "A New Pencil-And-Paper Game Based on Inductive Reasoning" - * Peg Solitaire, (ar)
*Scientific American*June 1962, as "The Game of Solitaire and Some Variations and Transformations" - * Penny Puzzles, (ar)
*Scientific American*February 1966, as "Recreational Numismatics, or a Purse of Coin Puzzles" - *
**Penrose Tiles to Trapdoor Ciphers**, (W.H. Freeman & Co., 1989, nf) - * Penrose Tiling, (ar)
*Scientific American*January 1977, as "Extraordinary Nonperiodic Tiling That Enriches the Theory of Tiles" - * Pentominoes and Polyominoes: Five Games and a Sampling of Problems, (ar)
*Scientific American*October 1965 -
**Mathematical Magic Show**, Knopf, 1977, as "Polyominoes and Rectification" - * Perfect, Amicable, Sociable, (ar)
*Scientific American*March 1968, as "A Short Treatise on the Useless Elegance of Perfect Numbers and Amicable Pairs" - * Permutations and Paradoxes in Combinatorial Mathematics, (ar)
*Scientific American*August 1963 -
**Martin Gardner’s Sixth Book of Mathematical Games from Scientific American**, W.H. Freeman & Co., 1971, as "Combinatorial Theory" - * The Persistence (And Futility) of Efforts to Trisect the Angle, (ar)
*Scientific American*June 1966 -
**Mathematical Carnival**, Knopf, 1975, as "How to Trisect an Angle" - * Phi: The Golden Ratio, (ar)
*Scientific American*November 1958, as "How Rectangles, Including Squares, Can Be Divided Into Squares of Unequal Size" - * Pi and Poetry: Some Accidental Patterns, (ar)
*Scientific American*September 1979, as "In Some Patterns of Numbers or Words There May Be Less Than Meets the Eye" - * Piet Hein’s Superellipse, (ar)
*Scientific American*September 1965, as "The Superellipse: a Curve That Lies Between the Ellipse and the Rectangle" - * Piggy’s Glasses and the Moon, (pz)
*Isaac Asimov’s Science Fiction Magazine*mid December 1982 - * Pink, Blue, and Green, (pz)
*Isaac Asimov’s Science Fiction Magazine*March 1979 - * The Plaiting of Plato’s Polyhedrons and the Asymmetrical Yin-Yang-Lee, (ar)
*Scientific American*September 1971 -
**Wheels, Life, and Other Mathematical Amusements**, W.H. Freeman & Co., 1983, as "Plaiting Polyhedrons" - * Plaiting Polyhedrons, (ar)
*Scientific American*September 1971, as "The Plaiting of Plato’s Polyhedrons and the Asymmetrical Yin-Yang-Lee" - * Playing Cards, (ar)
*Scientific American*June 1968, as "Combinatorial Possibilities in a Pack of Shuffled Cards" - * Playing Safe on the Bagel, (pz)
*Isaac Asimov’s Science Fiction Magazine*July 1985 - * Pleasurable Problems with Polycubes, and the Winning Strategy for Slither, (ar)
*Scientific American*September 1972 - * The Pleasures of Doing Science and Technology in the Planiverse, (ar)
*Scientific American*July 1980 -
**Last Recreations: Hydras, Eggs, and other Mathematical Mystifications**, Copernicus Books, 1997, as "The Wonders of a Planiverse" - * Plotting the Crossing Number of Graphs, (ar)
*Scientific American*June 1973 -
**Knotted Doughnuts and Other Mathematical Entertainments**, W.H. Freeman & Co., 1986, as "Crossing Numbers" - * Point Sets on the Sphere, (ar)
*Scientific American*September 1973, as "Problems on the Surface of a Sphere Offer an Entertaining Introduction to Point Sets" - * The Polybugs of Titan, (pz)
*Isaac Asimov’s Science Fiction Magazine*April 13 1981 - * Polycubes, (ar)
*Scientific American*September 1972, as "Pleasurable Problems with Polycubes, and the Winning Strategy for Slither" - * The Polyhex and the Polyabolo, Polygonal Jigsaw Puzzle Pieces, (ar)
*Scientific American*June 1967 -
**Mathematical Magic Show**, Knopf, 1977, as "Polyhexes and Polyaboloes" - * Polyhexes and Polyaboloes, (ar)
*Scientific American*June 1967, as "The Polyhex and the Polyabolo, Polygonal Jigsaw Puzzle Pieces" - * Polyiamonds, (ar)
*Scientific American*December 1964, as "On Polyiamonds: Shapes That Are Made Out of Equilateral Triangles" -
**Martin Gardner’s Sixth Book of Mathematical Games from Scientific American**, W.H. Freeman & Co., 1971 - * Polyominoes, (ar)
*Scientific American*December 1957, as "More About Complex Dominoes" - * Polyominoes and Fault-Free Rectangles, (ar)
*Scientific American*November 1960, as "More About the Shapes That Can Be Made with Complex Dominoes" - * Polyominoes and Rectification, (ar)
*Scientific American*October 1965, as "Pentominoes and Polyominoes: Five Games and a Sampling of Problems" - * Pool-Ball Triangles and Other Problems, (ar)
*Scientific American*April 1977, as "The Pool-Table Triangle, a Limerick Paradox and Divers Other Challenges" - * The Pool-Table Triangle, a Limerick Paradox and Divers Other Challenges, (ar)
*Scientific American*April 1977 -
**Penrose Tiles to Trapdoor Ciphers**, W.H. Freeman & Co., 1989, as "Pool-Ball Triangles and Other Problems" - * The Popperism of Sir Karl, (br)
*The New Leader*October 14 1974 - * The Postage Stamps of Philo Tate, (pz)
*Isaac Asimov’s Science Fiction Magazine*November/December 1978 - * The Power of the Pigeonhole, (ar)
*Scientific American*August 1980, as "On the Fine Art of Putting Players, Pills and Points Into Their Proper Pigeonholes" - * Precognition and the Mystic 7, (pz)
*Isaac Asimov’s Science Fiction Magazine*February 1984 - * Preface, (pr)
**Science Fiction Puzzle Tales**, Penguin, 1983 - * Preface, (pr)
**The No-Sided Professor**, Prometheus, 1987 - * Presenting the One and Only Dr. Matrix, Numerologist, in His Annual Performance, (ar)
*Scientific American*January 1964 -
**The Magic Numbers of Dr. Matrix**, Prometheus Books, 1985, as "Dr. Matrix (Chicago)" - * A Pride of Problems, Including One That Is Virtually Impossible, (ar)
*Scientific American*December 1979 -
**Last Recreations: Hydras, Eggs, and other Mathematical Mystifications**, Copernicus Books, 1997, as "A Toroidal Paradox and Other Problems" - * Private Eye Oglesby, (ss)
*The London Mystery Magazine*#8, February/March 1951, as "Crunchy Wunchy’s First Case" - * Probability and Ambiguity, (ar)
*Scientific American*October 1959, as "Problems Involving Questions of Probability and Ambiguity" - * Probability Paradoxes, (ar)
*Scientific American*April 1957, as "Paradoxes Dealing with Birthdays, Playing Cards, Coins, Crows and Red-Haired Typists" - * The Problem of Mrs. Perkins’ Quilt, (ar)
*Scientific American*September 1966 -
**Mathematical Carnival**, Knopf, 1975, as "Mrs. Perkins’ Quilt and Other Square-Packing Problems" - * Problems Involving Questions of Probability and Ambiguity, (ar)
*Scientific American*October 1959 -
**More Mathematical Puzzles and Diversions**, Pelican, 1966, as "Probability and Ambiguity" - * Problems on the Surface of a Sphere Offer an Entertaining Introduction to Point Sets, (ar)
*Scientific American*September 1973 -
**Knotted Doughnuts and Other Mathematical Entertainments**, W.H. Freeman & Co., 1986, as "Point Sets on the Sphere" - * Problems That Are Built on the Knight’s Move in Chess, (ar)
*Scientific American*October 1967 -
**Mathematical Magic Show**, Knopf, 1977, as "Knights of the Square Table" - * Professor Cracker’s Antitelephone, (pz)
*Isaac Asimov’s Science Fiction Magazine*February 1980 - * Proofs of God, (ar) from
**Whys of a Philosophical Scrivener**, Morrow, 1983 - * Pseudoscience in the Nineteenth Century, (ar)
*The New York Review of Books*March 17 1988 - * Psychic Wonders and Probability, (ar)
*Scientific American*May 1979, as "How to Be a Psychic, Even if You Are a Horse or Some Other Animal" - * Puns, Palindromes and Other Word Games That Partake of the Mathematical Spirit, (ar)
*Scientific American*September 1964 -
**Martin Gardner’s Sixth Book of Mathematical Games from Scientific American**, W.H. Freeman & Co., 1971, as "Word Play" - * Puzzle Flags on Mars, (pz)
*Isaac Asimov’s Science Fiction Magazine*June 1986 - * Puzzles and Number-Theory Problems Arising from the Curious Fractions of Ancient Egypt, (ar)
*Scientific American*October 1978 -
**Fractal Music, Hypercards and More…: Mathematical Recreations from Scientific American**, W.H. Freeman & Co., 1992, as "Egyptian Fractions" - * Puzzles and Tricks with a Dollar Bill, (ar)
*Scientific American*April 1968 -
**Mathematical Circus**, Knopf, 1979, as "Dollar Bills" - *
**Puzzles from Other Worlds**, (Oxford University Press, March 1986, nf) - * Puzzles in Flatland, (pz)
*Isaac Asimov’s Science Fiction Magazine*October 1985 - * Puzzles in Ulysses, (ar)
*Semiotica*v57, 1985 [Ref. James Joyce] - * Puzzles That Can Be Solved by Reasoning Based on Elementary Physical Principles, (ar)
*Scientific American*August 1966 -
**Mathematical Carnival**, Knopf, 1975, as "The Rising Hourglass and Other Physics Puzzles" - * Puzzling Over a Problem-Solving Matrix, Cubes of Many Colors and Three-Dimensional Dominoes, (ar)
*Scientific American*September 1978 -
**Fractal Music, Hypercards and More…: Mathematical Recreations from Scientific American**, W.H. Freeman & Co., 1992, as "The Thirty Color Cubes" - * The Pythagorean Theorem, (ar)
*Scientific American*October 1964, as "Simple Proofs of the Pythagorean Theorem, and Sundry Other Matters" -
**Martin Gardner’s Sixth Book of Mathematical Games from Scientific American**, W.H. Freeman & Co., 1971 - * Quantum Weirdness, (ar)
*Discover*October 1982 - * The Queer Story of Gardner’s Magazine, (pz)
*Isaac Asimov’s Science Fiction Magazine*August 1980 - * Quickie Problems: Not Hard, but Look Out for the Curves, (ar)
*Scientific American*July 1971 -
**Wheels, Life, and Other Mathematical Amusements**, W.H. Freeman & Co., 1983, as "A Set of Quickies" - * The Rambling Random Walk and Its Gambling Equivalent, (ar)
*Scientific American*May 1969 -
**Mathematical Circus**, Knopf, 1979, as "Random Walks and Gambling" - * Ramsey Theory, (ar)
*Scientific American*November 1977, as "In Which Joining Sets of Points by Lines Leads Into Diverse (And Diverting) Paths" - * A Random Assortment of Puzzles, Together with Reader Responses to Earlier Problems, (ar)
*Scientific American*December 1975 -
**Time Travel and Other Mathematical Bewilderments**, W.H. Freeman & Co., 1988, as "The Sixth Symbol and Other Problems" - * The Random Number Omega Bids Fair to Hold the Mysteries of the Universe, (ar)
*Scientific American*November 1979 -
**Fractal Music, Hypercards and More…: Mathematical Recreations from Scientific American**, W.H. Freeman & Co., 1992, as "Chaitin’s Omega" - * Random Numbers, (ar)
*Scientific American*July 1968, as "On the Meaning of Randomness and Some Ways of Achieving It" - * Random Walks and Gambling, (ar)
*Scientific American*May 1969, as "The Rambling Random Walk and Its Gambling Equivalent" - * Random Walks, by Semidrunk Bugs and Others, on the Square and on the Cube, (ar)
*Scientific American*June 1969 -
**Mathematical Circus**, Knopf, 1979, as "Random Walks on the Plane and in Space" - * Random Walks on the Plane and in Space, (ar)
*Scientific American*June 1969, as "Random Walks, by Semidrunk Bugs and Others, on the Square and on the Cube" - * Ranklin Felano Doosevelt, (ss)
**The No-Sided Professor**, Prometheus, 1987 - * Raymond Smyllyan’s Logic Puzzles, (ar)
*Scientific American*March 1978, as "Count Dracula, Alice, Portia and Many Others Consider Various Twists of Logic" - * Ray Palmer’s Arcade, (pz)
*Isaac Asimov’s Science Fiction Magazine*May 1986 - * Recreational Logic, (ar)
*Scientific American*February 1959, as "“Brain-Teasers” That Involve Formal Logic" - * Recreational Numismatics, or a Purse of Coin Puzzles, (ar)
*Scientific American*February 1966 -
**Mathematical Carnival**, Knopf, 1975, as "Penny Puzzles" - * Recreational Topology, (ar)
*Scientific American*October 1958, as "Four Mathematical Diversions Involving Concepts of Topology" - * Recreations Involving Folding and Cutting Sheets of Paper, (ar)
*Scientific American*June 1960 -
**Martin Gardner’s New Mathematical Diversions from Scientific American**, Simon & Schuster, 1966, as "Paper Cutting" - * The Red-Faced Cube and Other Problems, (ar)
*Scientific American*November 1965, as "A Selection of Elementary Word and Number Problems" - * References for Further Reading, (ms)
**Mathematical Puzzles and Diversions**, Pelican, 1966 - * References for Further Reading, (ms)
**More Mathematical Puzzles and Diversions**, Pelican, 1966 - * Reflections on Newcomb’s Paradox, (ar)
*Scientific American*March 1974, as "Reflections on Newcomb’s Problem: a Prediction and Free-Will Dilemma" - * Reflections on Newcomb’s Problem: a Prediction and Free-Will Dilemma, (ar)
*Scientific American*March 1974 -
**Knotted Doughnuts and Other Mathematical Entertainments**, W.H. Freeman & Co., 1986, as "Reflections on Newcomb’s Paradox" - * Reflections on the Packing of Spheres, (ar)
*Scientific American*May 1960 -
**Martin Gardner’s New Mathematical Diversions from Scientific American**, Simon & Schuster, 1966, as "Packing Spheres" - * Relativistically Speaking, (pz)
*Isaac Asimov’s Science Fiction Magazine*March 1985 - * The Remarkable Lore of the Prime Numbers, (ar)
*Scientific American*March 1964 -
**Martin Gardner’s Sixth Book of Mathematical Games from Scientific American**, W.H. Freeman & Co., 1971, as "Patterns and Primes" - * Rep-Tiles: Replicating Figures on the Plane, (ar)
*Scientific American*May 1963, as "On Rep-Tiles, Polygons That Can Make Larger and Smaller Copies of Themselves" - * Reverse the Fish and Other Problems, (ar)
*Scientific American*April 1974, as "Nine Challenging Problems, Some Rational and Some Not" - * Riddle of the Sphinxes, (pz)
*Isaac Asimov’s Science Fiction Magazine*January 1984 - * Ridiculous Questions, (ar)
*Scientific American*August 1968, as "An Array of Puzzles and Tricks, with a Few Traps for the Unwary" - * The Rigid Square and Eight Other Problems, (ar)
*Scientific American*November 1963, as "A Mixed Bag of Problems" -
**Martin Gardner’s Sixth Book of Mathematical Games from Scientific American**, W.H. Freeman & Co., 1971 - * The Rising Hourglass and Other Physics Puzzles, (ar)
*Scientific American*August 1966, as "Puzzles That Can Be Solved by Reasoning Based on Elementary Physical Principles" - * The Road to Mandalay, (pz)
*Isaac Asimov’s Science Fiction Magazine*July 1984 - * Robots of Oz, (pz)
*Isaac Asimov’s Science Fiction Magazine*October 1980 - * The Rotating Round Table and Other Problems, (ar)
*Scientific American*April 1969, as "An Octet of Problems That Emphasize Gamesmanship, Logic and Probability" - * The Rotating Table and Other Problems, (ar)
*Scientific American*February 1979, as "About Rectangling Rectangles, Parodying Poe and Many Another Pleasing Problem" - * Rotations and Reflections, (ar)
*Scientific American*May 1962, as "Symmetry and Asymmetry and the Strange World of Upside-Down Art" - * Royal Historian of Oz, (bg)
*The Magazine of Fantasy and Science Fiction*Jan, Feb**1955**[Ref. L. Frank Baum] - * The Rubber Rope and Other Problems, (ar)
*Scientific American*March 1975, as "From Rubber Ropes to Rolling Cubes, a Miscellany of Refreshing Problems" - * Run, Robot, Run!, (pz)
*Isaac Asimov’s Science Fiction Magazine*May 1983 - * Salmon on Austin’s Dog, (ar)
*Scientific American*December 1971, as "Further Encounters with Touching Cubes, and the Paradoxes of Zeno As “Supertasks”" - * Sam Loyd: America’s Greatest Puzzlist, (ar)
*Scientific American*August 1957, as "The Life and Work of Sam Loyd, a Mighty Inventor of Puzzles" - * Satan and the Apple, (pz)
*Isaac Asimov’s Science Fiction Magazine*January 1985 - * Scarne on Gambling, (ar)
*Scientific American*December 1961, as "On the Theory of Probability and the Practice of Gambling" - * The Science Fantasy Puzzle Quiz, (qz)
*Isaac Asimov’s Science Fiction Magazine*November 1984 - *
**Science Fiction Puzzle Tales**, (Penguin, July 1983, oc) - * Scrambled Heads on Langwidere, (pz)
*Isaac Asimov’s Science Fiction Magazine*August 31 1981 - * The Sculpture of Miguel Berrocal Can Be Taken Apart Like an Interlocking Mechanical Puzzle, (ar)
*Scientific American*January 1978 -
**Penrose Tiles to Trapdoor Ciphers**, W.H. Freeman & Co., 1989, as "From Burrs to Berrocal" - * Second Answers, (ms)
**Science Fiction Puzzle Tales**, Penguin, 1983 - * Second Answers, (ms)
**Puzzles from Other Worlds**, Oxford University Press, 1986 - * A Selection of Elementary Word and Number Problems, (ar)
*Scientific American*November 1965 -
**Mathematical Carnival**, Knopf, 1975, as "The Red-Faced Cube and Other Problems" - * A Set of Quickies, (ar)
*Scientific American*July 1971, as "Quickie Problems: Not Hard, but Look Out for the Curves" - * Sex Among the Polyomans, (pz)
*Isaac Asimov’s Science Fiction Magazine*September 1985 - * SFs and Fs on Fifty-Fifth St., (pz)
*Isaac Asimov’s Science Fiction Magazine*April 14 1982 - * The Shop on Bedford Street, (pz)
*Isaac Asimov’s Science Fiction Magazine*June 1979 - * A Short Treatise on the Useless Elegance of Perfect Numbers and Amicable Pairs, (ar)
*Scientific American*March 1968 -
**Mathematical Magic Show**, Knopf, 1977, as "Perfect, Amicable, Sociable" - * Sibyl Sits In, (vi)
*The Record Changer*October 1948
(continued)