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INDEX TO MARTIN GARDNER'S MATHEMATICAL GAMES
The entire collection of Martin Gardner's Mathematical Games column from
Scientific American magazine has been published in book form. The whole series of
15 books is now available on CD-ROM from the
Mathematical Association of America.
The columns do not appear in the books in their original order, however. If you wish to read
the columns in their original order, you may refer to the index below. The numbers in the
"Book" column refer to the titles listed at the bottom of the page.
1956
| | Book | Chapter |
| Dec | 1 | Hexaflexagons |
1957
| | Book | Chapter |
| Jan | 1 | Magic with a Matrix |
| Feb | 1 | Nine Problems |
| Mar | 1 | Ticktacktoe |
| Apr | 1 | Probability Paradoxes |
| May | 1 | The Icosian Game and the Tower of Hanoi |
| Jun | 1 | Curious Topological Models |
| Jul | 1 | The Game of Hex |
| Aug | 1 | Sam Loyd: America's Greatest Puzzlist |
| Sep | 1 | Mathematical Card Tricks |
| Oct | 1 | Memorizing Numbers |
| Nov | 1 | Nine More Problems |
| Dec | 1 | Polyominoes |
1958
| | Book | Chapter |
| Jan | 1 | Fallacies |
| Feb | 1 | Nim and Tac Tix |
| Mar | 1 | Left or Right? |
| Apr | 2 | The Monkey and the Coconuts |
| May | 2 | Tetraflexagons |
| Jun | 2 | Henry Ernest Dudeney: England's Greatest Puzzlist |
| Jul | 2 | Digital Roots |
| Aug | 2 | Nine Problems |
| Sep | 2 | The Soma Cube |
| Oct | 2 | Recreational Topology |
| Nov | 2 | Squaring the Square |
| Dec | 2 | The Five Platonic Solids |
1959
| | Book | Chapter |
| Jan | 2 | Mazes |
| Feb | 2 | Recreational Logic |
| Mar | 2 | Magic Squares |
| Apr | 2 | James Hugh Riley Shows, Inc. |
| May | 2 | Nine More Problems |
| Jun | 2 | Eleusis: The Induction Game |
| Jul | 2 | Origami |
| Aug | 2 | Phi: The Golden Ratio |
| Sep | 2 | Mechanical Puzzles |
| Oct | 2 | Probability and Ambiguity |
| Nov | 3 | Euler's Spoilers: The Discovery of an Order-10 Graeco-Latin Square |
| Dec | 3 | Group Theory and Braids |
1960
| | Book | Chapter |
| Jan | 2 | The Mysterious Dr. Matrix |
| Feb | 3 | Eight Problems |
| Mar | 3 | The Games and Puzzles of Lewis Carroll |
| Apr | 3 | Board Games |
| May | 3 | Packing Spheres |
| Jun | 3 | Paper Cutting |
| Jul | 3 | The Transcendental Number Pi |
| Aug | 3 | Victor Eigen: Mathemagician |
| Sep | 3 | The Four-Color Map Theorem |
| Oct | 3 | Nine Problems |
| Nov | 3 | Polyominoes and Fault-Free Rectangles |
| Dec | 3 | The Binary System |
1961
| | Book | Chapter |
| Jan | 9 | Dr. Matrix (Los Angeles) |
| Feb | 3 | The Ellipse |
| Mar | 3 | The 24 Color Squares and the 30 Color Cubes |
| Apr | 3 | H.S.M Coxeter |
| May | 3 | Mr. Apollinax Visits New York |
| Jun | 3 | Nine More Problems |
| Jul | 3 | Bridg-it and Other Games |
| Aug | 3 | The Calculus of Finite Differences |
| Sep | 4 | Knots and Borromean Rings |
| Oct | 4 | The Transcendental Number e |
| Nov | 4 | Geometric Dissections |
| Dec | 4 | Scarne on Gambling |
1962
| | Book | Chapter |
| Jan | 4 | The Church of the Fourth Dimension |
| Feb | 4 | Eight Problems |
| Mar | 4 | A Matchbox Game-Learning Machine |
| Apr | 4 | Spirals |
| May | 4 | Rotations and Reflections |
| Jun | 4 | Peg Solitaire |
| Jul | 4 | Flatlands |
| Aug | 4 | Chicago Magic Convention |
| Sep | 4 | Tests of Divisibility |
| Oct | 4 | Nine Problems |
| Nov | 4 | The Eight Queens and Other Chessboard Diversions |
| Dec | 4 | A Loop of String |
1963
| | Book | Chapter |
| Jan | 9 | Dr. Matrix (Sing Sing) |
| Feb | 4 | Curves of Constant Width |
| Mar | 4 | The Paradox of the Unexpected Hanging |
| Apr | 4 | Thirty-Seven Catch Questions |
| May | 4 | Rep-Tiles: Replicating Figures on the Plane |
| Jun | 5 | The Helix |
| Jul | 5 | Klein Bottles and Other Surfaces |
| Aug | 5 | Combinatorial Theory |
| Sep | 5 | Bouncing Balls in Polygons and Polyhedrons |
| Oct | 5 | Four Unusual Board Games |
| Nov | 5 | The Rigid Square and Eight Other Problems |
| Dec | 5 | Parity Checks |
1964
| | Book | Chapter |
| Jan | 9 | Dr. Matrix (Chicago) |
| Feb | 5 | Sliding-Block Puzzles |
| Mar | 5 | Patterns and Primes |
| Apr | 5 | Graph Theory |
| May | 5 | The Ternary System |
| Jun | 5 | The Trip around the Moon and Seven Other Problems |
| Jul | 5 | The Cycloid: Helen of Geometry |
| Aug | 5 | Mathematical Magic Tricks |
| Sep | 5 | Word Play |
| Oct | 5 | The Pythagorean Theorem |
| Nov | 5 | Limits of Infinite Series |
| Dec | 5 | Polyiamonds |
1965
| | Book | Chapter |
| Jan | 9 | Dr. Matrix (Miami Beach) |
| Feb | 5 | Tetrahedrons |
| Mar | 5 | Coleridge's Apples and Eight Other Problems |
| Apr | 5 | Infinite Regress |
| May | 5 | The Lattice of Integers |
| Jun | 5 | O'Gara, the Mathematical Mailman |
| Jul | 5 | Op Art |
| Aug | 5 | Extraterrestrial Communication |
| Sep | 6 | Piet Hein's Superellipse |
| Oct | 7 | Polyominoes and Rectification |
| Nov | 6 | The Red-Faced Cube and Other Problems |
| Dec | 6 | Magic Stars and Polyhedrons |
1966
| | Book | Chapter |
| Jan | 9 | Dr. Matrix (Philadelphia) |
| Feb | 6 | Penny Puzzles |
| Mar | 6 | Aleph-null and Aleph-one |
| Apr | 6 | The Art of M. C. Escher |
| May | 6 | Cooks and Quibble-Cooks |
| Jun | 6 | How to Trisect an Angle |
| Jul | 6 | The Numerology of Dr. Fliess |
| Aug | 6 | The Rising Hourglass and Other Physics Puzzles |
| Sep | 6 | Mrs. Perkins' Quilt and Other Square-Packing Problems |
| Oct | 6 | Card Shuffles |
| Nov | 6 | Hypercubes |
| Dec | 6 | Pascal's Triangle |
1967
| | Book | Chapter |
| Jan | 9 | Dr. Matrix (Wordsmith College) |
| Feb | 6 | Jam, Hot, and Other Games |
| Mar | 7 | The Dragon Curve and Other Problems |
| Apr | 6 | Calculating Prodigies |
| May | 6 | Tricks of Lightning Calculators |
| Jun | 7 | Polyhexes and Polyaboloes |
| Jul | 6 | Sprouts and Brussels Sprouts |
| Aug | 7 | Factorial Oddities |
| Sep | 7 | Double Acrostics |
| Oct | 7 | Knights of the Square Table |
| Nov | 7 | The Cocktail Cherry and Other Problems |
| Dec | 7 | Game Theory, Guess It, Foxholes |
1968
| | Book | Chapter |
| Jan | 9 | Dr. Matrix (Squaresville) |
| Feb | 7 | Trees |
| Mar | 7 | Perfect, Amicable, Sociable |
| Apr | 8 | Dollar Bills |
| May | 8 | Spheres and Hyperspheres |
| Jun | 7 | Playing Cards |
| Jul | 6 | Random Numbers |
| Aug | 7 | Ridiculous Questions |
| Sep | 7 | Finger Arithmetic |
| Oct | 7 | Colored Triangles and Cubes |
| Nov | 7 | Dice |
| Dec | 7 | Möbius Bands |
1969
| | Book | Chapter |
| Jan | 9 | Dr. Matrix (Fifth Avenue) |
| Feb | 8 | Boolean Algebra |
| Mar | 8 | Fibonacci and Lucas Numbers |
| Apr | 8 | The Rotating Round Table and Other Problems |
| May | 8 | Random Walks and Gambling |
| Jun | 8 | Random Walks on the Plane and in Space |
| Jul | 8 | Matches |
| Aug | 8 | Simplicity |
| Sep | 8 | Mascheroni Constructions |
| Oct | 9 | Dr. Matrix (The Moon) |
| Nov | 8 | Patterns of Induction |
| Dec | 8 | Dominoes |
1970
| | Book | Chapter |
| Jan | 8 | The Abacus |
| Feb | 8 | Eccentric Chess and Other Problems |
| Mar | 8 | Cyclic Numbers |
| Apr | 8 | Solar System Oddities |
| May | 8 | Optical Illusions |
| Jun | 8 | Elegant Triangles |
| Jul | 10 | Diophantine Analysis and Fermat's Last Theorem |
| Aug | 8 | Palindromes: Words and Numbers |
| Sep | 10 | Wheels |
| Oct | 10 | The Game of Life, Part I |
| Nov | 10 | The Knotted Molecule and Other Problems |
| Dec | 10 | Nontransitive Dice and Other Probability Paradoxes |
1971
| | Book | Chapter |
| Jan | 9 | Dr. Matrix (Honolulu) |
| Feb | 10 | The Game of Life, Part II |
| Mar | 10 | Alephs and Supertasks |
| Apr | 10 | Geometric Fallacies |
| May | 10 | The Combinatorics of Paper Folding |
| Jun | 8 | Can Machines Think? |
| Jul | 10 | A Set of Quickies |
| Aug | 10 | Ticktacktoe Games |
| Sep | 10 | Plaiting Polyhedrons |
| Oct | 10 | The Game of Halma |
| Nov | 10 | Advertising Premiums |
| Dec | 10 | Salmon on Austin's Dog |
1972
| | Book | Chapter |
| Jan | 10 | Nim and Hackenbush |
| Feb | 9 | Dr. Matrix (Houston) |
| Mar | 10 | Golomb's Graceful Graphs |
| Apr | 10 | Charles Addams' Skier and Other Problems |
| May | 10 | Chess Tasks |
| Jun | 10 | Slither, 3X+1, and Other Curious Questions |
| Jul | 10 | Mathematical Tricks with Cards |
| Aug | 11 | The Binary Gray Code |
| Sep | 11 | Polycubes |
| Oct | 11 | Coincidence |
| Nov | 11 | Bacon's Cipher |
| Dec | 11 | Doughnuts: Linked and Knotted |
1973
| | Book | Chapter |
| Jan | 11 | Sim, Chomp, and Race Track |
| Feb | 11 | Elevators |
| Mar | 11 | Napier's Bones |
| Apr | 11 | Napier's Abacus |
| May | 11 | The Tour of the Arrows and Other Problems |
| Jun | 11 | Crossing Numbers |
| Jul | 11 | Newcomb's Paradox |
| Aug | 9 | Dr. Matrix (Clairvoyance Test) |
| Sep | 11 | Point Sets on the Sphere |
| Oct | 11 | Look-See Proofs |
| Nov | 11 | Worm Paths |
| Dec | 11 | Waring's Problems |
1974
| | Book | Chapter |
| Jan | 11 | The I Ching |
| Feb | 11 | Cram, Bynum and Quadraphage |
| Mar | 11 | Reflections on Newcomb's Paradox |
| Apr | 11 | Reverse the Fish and Other Problems |
| May | 12 | Time Travel |
| Jun | 9 | Dr. Matrix (Pyramid Lake) |
| Jul | 12 | Hexes and Stars |
| Aug | 12 | Tangrams, Part 1 |
| Sep | 12 | Tangrams, Part 2 |
| Oct | 12 | Nontransitive Paradoxes |
| Nov | 12 | Combinatorial Card Problems |
| Dec | 12 | Melody-Making Machines |
1975
| | Book | Chapter |
| Jan | 12 | Anamorphic Art |
| Feb | 7 | Nothing |
| Mar | 12 | The Rubber Rope and Other Problems |
| Apr | 12 | Six Sensational Discoveries |
| May | 12 | The Császár Polyhedron |
| Jun | 12 | Dodgem and Other Simple Games |
| Jul | 12 | Tiling with Convex Polygons |
| Aug | 12 | Tiling with Polyominoes, Polyiamonds, and Polyhexes |
| Sep | 9 | Dr. Matrix (The King James Bible) |
| Oct | * | Concerning an Effort to Demonstrate ESP by Machine |
| Nov | 12 | Curious Maps |
| Dec | 12 | The Sixth Symbol and Other Problems |
1976
| | Book | Chapter |
| Jan | 12 | Magic Squares and Cubes |
| Feb | 12 | Block Packing |
| Mar | 12 | Induction and Probability |
| Apr | 15 | Trivalent Graphs, Snarks, and Boojums |
| May | 7 | Everything |
| Jun | 12 | Catalan Numbers |
| Jul | 12 | Fun with a Pocket Calculator |
| Aug | 12 | Tree-Plant Problems |
| Sep | 13 | Conway's Surreal Numbers |
| Oct | 13 | Back from the Klondike and Other Problems |
| Nov | 9 | Dr. Matrix (Calcutta) |
| Dec | 13 | Mandelbrot's Fractals |
1977
| | Book | Chapter |
| Jan | 13 | Penrose Tiling |
| Feb | 13 | The Oulipo |
| Mar | 13 | Wythoff's Nim |
| Apr | 13 | Pool-Ball Triangles and Other Problems |
| May | 13 | Mathematical Induction and Colored Hats |
| Jun | 13 | Negative Numbers |
| Jul | 13 | Cutting Shapes into N Congruent Parts |
| Aug | 13 | Trapdoor Ciphers |
| Sep | 13 | Hyperbolas |
| Oct | 13 | The New Eleusis |
| Nov | 13 | Ramsey Theory |
| Dec | 9 | Dr. Matrix (Stanford) |
1978
| | Book | Chapter |
| Jan | 13 | From Burrs to Berrocal |
| Feb | 13 | Sicherman Dice, the Kruskal Count and Other Curiosities |
| Mar | 13 | Raymond Smyllyan's Logic Puzzles |
| Apr | 14 | White, Brown, and Fractal Music |
| May | 14 | The Tinkly Temple Bells |
| Jun | 14 | Mathematical Zoo |
| Jul | 14 | Charles Sanders Peirce |
| Aug | 14 | Twisted Prismatic Rings |
| Sep | 14 | The Thirty Color Cubes |
| Oct | 14 | Egyptian Fractions |
| Nov | 14 | Minimal Sculpture |
| Dec | 9 | Dr. Matrix (Chautauqua) |
1979
| | Book | Chapter |
| Jan | 14 | Tangent Circles |
| Feb | 14 | The Rotating Table and Other Problems |
| Mar | 14 | Does Time Ever Stop? Can the Past Be Altered? |
| Apr | 14 | Generalized Ticktacktoe |
| May | 14 | Psychic Wonders and Probability |
| Jun | 14 | Mathematical Chess Problems |
| Jul | 14 | Douglas Hofstadter's Gödel, Escher, Bach |
| Aug | 14 | Imaginary Numbers |
| Sep | 14 | Pi and Poetry: Some Accidental Patterns |
| Oct | 14 | Packing Squares |
| Nov | 14 | Chaitin's Omega |
| Dec | 15 | A Toroidal Paradox and Other Problems |
1980
| | Book | Chapter |
| Jan | 15 | Checker Recreations |
| Feb | 15 | M-Pire Maps |
| Mar | 15 | Directed Graphs and Cannibals |
| Apr | 15 | Fun with Eggs |
| May | 15 | Dinner Guests, Schoolgirls, and Handcuffed Prisoners |
| Jun | 15 | The Monster and Other Sporadic Groups |
| Jul | 15 | The Wonders of a Planiverse |
| Aug | 15 | The Power of the Pigeonhole |
| Sep | 9 | Dr. Matrix (Istanbul) |
| Oct | 15 | Voting Mathematics |
| Nov | 15 | Taxicab Geometry |
| Dec | 15 | Strong Laws of Small Primes |
1981
| | Book | Chapter |
| Feb | 15 | Modulo Arithmetic and Hummer's Wicked Witch |
| Apr | 15 | Levina Seeks a Room and Other Problems |
| Jun | 15 | The Symmetry Creations of Scott Kim |
| Aug | 15 | Parabolas |
| Oct | 15 | Non-Euclidean Geometry |
| Dec | 11 | The Laffer Curve |
1983
| | Book | Chapter |
| Aug | 15 | Bulgarian Solitaire and Other Seemingly Endless Tasks |
| Sep | 15 | The Topology of Knots |
1986
| | Book | Chapter |
| Jun | 15 | Minimal Steiner Trees |
* Note: The October 1975 column was not published in any of the books.
Book titles:
- Hexaflexagons and Other Mathematical Diversions: The First Scientific American Book of Mathematical Puzzles and Games
- The Second Scientific American Book of Mathematical Puzzles and Diversions
- New Mathematical Diversions
- The Unexpected Hanging and Other Mathematical Diversions: A Classic Collection of Puzzles and Games from Scientific American
- Martin Gardner's 6th Book of Mathematical Diversions from Scientific American
- Mathematical Carnival
- Mathematical Magic Show
- Mathematical Circus
- The Magic Numbers of Dr. Matrix
- Wheels, Life, and Other Mathematical Amusements
- Knotted Doughnuts and Other Mathematical Entertainments
- Time Travel and Other Mathematical Bewilderments
- Penrose Tiles to Trapdoor Ciphers...and the Return of Dr. Matrix
- Fractal Music, Hypercards, and More: Mathematical Recreations from Scientific American Magazine
- The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications
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