Peter Rowlett, November 2023
Martin Gardner wrote 288 'Mathematical Games' columns in Scientific American from Jan 1957 to Dec 1980, and 9 more in 1981, 1983 and 1986. From 1959 to 1997 Gardner collected his columns into 15 books, editing and adding to these as articles became chapters. There is one Scientific American article collected in the books that was not 'Mathematical Games', and one 'Mathematical Games' article not found in the books.
Article titles are not used as chapter titles in the books, so it is not straightforward to translate a reference to one of his articles to the corresponding book chapter, or vice versa. This website provides a mapping between Scientific American articles and these 15 books.
I am aware of a list of books and their chapters by David Langford and a list of topics and which book chapter they are discussed in by Carl W. Lee. Wikipedia has a list of books collecting the columns and a list of his Mathematical Games columns.
There are different versions of the books available, and I have used the editions I happen to have copies of. You can see a list of books used for this project.
As the list of articles and chapters below was developed, I kept notes on where the information came from. You can view the development archive, which includes notes for each article on why I think what I think. Corrections are welcome, please contact me.
The list here is 297 Scientific American articles in publishing order. You can also view a list of all 310 book chapters and which article they are drawn from: list of all book chapters.
Year | Month | Article title | Book | Chapter |
---|---|---|---|---|
1956 | Dec | Flexagons [not Mathematical Games] | 1. Mathematical Puzzles and Diversions | 1. Hexaflexagons |
1957 | Jan | A new kind of magic square with remarkable properties | 1. Mathematical Puzzles and Diversions | 2. Magic with a Matrix |
1957 | Feb | An assortment of maddening puzzles | 1. Mathematical Puzzles and Diversions | 3. Nine Problems |
1957 | Mar | Some old and new versions of ticktacktoe | 1. Mathematical Puzzles and Diversions | 4. Ticktactoe, or Noughts and Crosses |
1957 | Apr | Paradoxes dealing with birthdays, playing cards, coins, crows and red-haired typists | 1. Mathematical Puzzles and Diversions | 5. Probability Paradoxes |
1957 | May | About the remarkable similarity between the Icosian Game and the Tower of Hanoi | 1. Mathematical Puzzles and Diversions | 6. The Icosian Game and the Tower of Hanoi |
1957 | Jun | Curious figures descended from the Moebius band, which has only one side and one edge | 1. Mathematical Puzzles and Diversions | 7. Curious Topological Models |
1957 | Jul | Concerning the game of Hex, which may be played on the tiles of the bathroom floor | 1. Mathematical Puzzles and Diversions | 8. The Game of Hex |
1957 | Aug | The life and work of Sam Loyd, a mighty inventor of puzzles | 1. Mathematical Puzzles and Diversions | 9. Sam Loyd: America’s Greatest Puzzlist |
1957 | Sep | Concerning various card tricks with a mathematical message | 1. Mathematical Puzzles and Diversions | 10. Mathematical Card Tricks |
1957 | Oct | How to remember numbers by mnemonic devices such as cuff links and red zebras | 1. Mathematical Puzzles and Diversions | 11. Memorizing Numbers |
1957 | Nov | Nine titillating puzzles | 1. Mathematical Puzzles and Diversions | 12. Nine More Problems |
1957 | Dec | More about complex dominoes | 1. Mathematical Puzzles and Diversions | 13. Polyominoes |
1958 | Jan | A collection of tantalizing fallacies of mathematics | 1. Mathematical Puzzles and Diversions | 14. Fallacies |
1958 | Feb | Concerning the game of Nim and its mathematical analysis | 1. Mathematical Puzzles and Diversions | 15. Nim and Tic Tax |
1958 | Mar | About left- and right-handedness, mirror images and kindred matters | 1. Mathematical Puzzles and Diversions | 16. Left or Right? |
1958 | Apr | Concerning the celebrated puzzle of five sailors, a monkey and a pile of coconuts | 2. More Mathematical Puzzles and Diversions | 9. The Monkey and the Coconuts |
1958 | May | About tetraflexagons and tetraflexagation | 2. More Mathematical Puzzles and Diversions | 2. Tetraflexagons |
1958 | Jun | About Henry Ernest Dudeney, a brilliant creator of puzzles | 2. More Mathematical Puzzles and Diversions | 3. Henry Ernest Dudeney:: England’s Greatest Puzzlist |
1958 | Jul | Some diverting tricks which involve the concept of numerical congruence | 2. More Mathematical Puzzles and Diversions | 4. Digital Roots |
1958 | Aug | A third collection of "brain-teasers" | 2. More Mathematical Puzzles and Diversions | 5. Nine Problems |
1958 | Sep | A game in which standard pieces composed of cubes are assembled into larger forms | 2. More Mathematical Puzzles and Diversions | 6. The Soma Cube |
1958 | Oct | Four mathematical diversions involving concepts of topology | 2. More Mathematical Puzzles and Diversions | 7. Recreational Topology |
1958 | Nov | How rectangles, including squares, can be divided into squares of unequal size [cover] | 2. More Mathematical Puzzles and Diversions | 17. Squaring the Square |
1958 | Dec | Diversions which involve the five Platonic solids | 2. More Mathematical Puzzles and Diversions | 1. The Five Platonic Solids |
1959 | Jan | About mazes and how they can be traversed | 2. More Mathematical Puzzles and Diversions | 10. Mazes |
1959 | Feb | "Brain-teasers" that involve formal logic | 2. More Mathematical Puzzles and Diversions | 11. Recreational Logic |
1959 | Mar | Concerning the properties of various magic squares | 2. More Mathematical Puzzles and Diversions | 12. Magic Squares |
1959 | Apr | The mathematical diversions of a fictitious carnival man | 2. More Mathematical Puzzles and Diversions | 13. James Hugh Riley Shows, Inc. |
1959 | May | Another collection of "brain-teasers" | 2. More Mathematical Puzzles and Diversions | 14. Nine More Problems |
1959 | Jun | An inductive card game | 2. More Mathematical Puzzles and Diversions | 15. Eleusis: The Induction Game |
1959 | Jul | About Origami, the Japanese art of folding objects out of paper | 2. More Mathematical Puzzles and Diversions | 16. Origami |
1959 | Aug | About phi, an irrational number that has some remarkable geometrical expressions | 2. More Mathematical Puzzles and Diversions | 8. Phi: The Golden Ratio |
1959 | Sep | Concerning mechanical puzzles, and how an enthusiast has collected 2,000 of them | 2. More Mathematical Puzzles and Diversions | 18. Mechanical Puzzles |
1959 | Oct | Problems involving questions of probability and ambiguity | 2. More Mathematical Puzzles and Diversions | 19. Probability and Ambiguity |
1959 | Nov | How three modern mathematicians disproved a celebrated conjecture of Leonhard Euler [cover] | 3. New Mathematical Diversions from Scientific American | 14. Euler’s Spoilers: The Discovery of an Order-10 Graeco-Latin Square |
1959 | Dec | Diversions that clarify group theory, particularly by the weaving of braids | 3. New Mathematical Diversions from Scientific American | 2. Group Theory and Braids |
1960 | Jan | A fanciful dialogue about the wonders of numerology | 4. The Magic Numbers of Dr. Matrix | 1. New York |
1960 | Feb | A fifth collection of "brain-teasers" | 3. New Mathematical Diversions from Scientific American | 3. Eight Problems |
1960 | Mar | The games and puzzles of Lewis Carroll | 3. New Mathematical Diversions from Scientific American | 4. The Games and Puzzles of Lewis Carroll |
1960 | Apr | About mathematical games that are played on boards | 3. New Mathematical Diversions from Scientific American | 6. Board Games |
1960 | May | Reflections on the packing of spheres | 3. New Mathematical Diversions from Scientific American | 7. Packing Spheres |
1960 | Jun | Recreations involving folding and cutting sheets of paper | 3. New Mathematical Diversions from Scientific American | 5. Paper Cutting |
1960 | Jul | Incidental information about the extraordinary number pi | 3. New Mathematical Diversions from Scientific American | 8. The Transcendental Number Pi |
1960 | Aug | An imaginary dialogue on "mathemagic": tricks based on mathematical principles | 3. New Mathematical Diversions from Scientific American | 9. Victor Eigen: Mathemagician |
1960 | Sep | The celebrated four-color map problem of topology | 3. New Mathematical Diversions from Scientific American | 10. The Four-Color Map Theorem |
1960 | Oct | A new collection of "brain-teasers" | 3. New Mathematical Diversions from Scientific American | 12. Nine Problems |
1960 | Nov | More about the shapes that can be made with complex dominoes | 3. New Mathematical Diversions from Scientific American | 13. Polyominoes and Fault-Free Rectangles |
1960 | Dec | Some recreations involving the binary number system | 3. New Mathematical Diversions from Scientific American | 1. The Binary System |
1961 | Jan | In which the author chats again with Dr. Matrix, numerologist extraordinary | 4. The Magic Numbers of Dr. Matrix | 2. Los Angeles |
1961 | Feb | Diversions that involve one of the classic conic sections: the ellipse | 3. New Mathematical Diversions from Scientific American | 15. The Ellipse |
1961 | Mar | How to play dominoes in two and three dimensions | 3. New Mathematical Diversions from Scientific American | 16. The 24 Color Squares and the 30 Color Cubes |
1961 | Apr | Concerning the diversions in a new book on geometry [cover] | 3. New Mathematical Diversions from Scientific American | 17. H.S.M. Coxeter |
1961 | May | In which the editor of this department meets the legendary Bertrand Apollinax | 3. New Mathematical Diversions from Scientific American | 11. Mr. Apollinax Visits New York |
1961 | Jun | A new collection of "brain teasers" | 3. New Mathematical Diversions from Scientific American | 19. Nine More Problems |
1961 | Jul | Some diverting mathematical board games | 3. New Mathematical Diversions from Scientific American | 18. Bridg-it and Other Games |
1961 | Aug | Some entertainments that involve the calculus of finite differences | 3. New Mathematical Diversions from Scientific American | 20. The Calculus of Finite Differences |
1961 | Sep | Surfaces with edges linked in the same way as the three rings of a well-known design | 5. The Unexpected Hanging and Other Mathematical Diversions | 2. Knots and Borromean Rings |
1961 | Oct | Diversions that involve the mathematical constant "e" | 5. The Unexpected Hanging and Other Mathematical Diversions | 3. The Transcendental Number e |
1961 | Nov | Wherein geometrical figures are dissected to make other figures | 5. The Unexpected Hanging and Other Mathematical Diversions | 4. Geometric Dissections |
1961 | Dec | On the theory of probability and the practice of gambling | 5. The Unexpected Hanging and Other Mathematical Diversions | 5. Scarne on Gambling |
1962 | Jan | An adventure in hyperspace at the Church of the Fourth Dimension | 5. The Unexpected Hanging and Other Mathematical Diversions | 6. The Church of the Fourth Dimension |
1962 | Feb | A clutch of diverting problems | 5. The Unexpected Hanging and Other Mathematical Diversions | 7. Eight Problems |
1962 | Mar | How to build a game-learning machine and teach it to play and win | 5. The Unexpected Hanging and Other Mathematical Diversions | 8. A Matchbox Game-Learning Machine |
1962 | Apr | About three types of spirals and how to construct them | 5. The Unexpected Hanging and Other Mathematical Diversions | 9. Spirals |
1962 | May | Symmetry and asymmetry and the strange world of upside-down art | 5. The Unexpected Hanging and Other Mathematical Diversions | 10. Rotations and Reflections |
1962 | Jun | The game of solitaire and some variations and transformations | 5. The Unexpected Hanging and Other Mathematical Diversions | 11. Peg Solitaire |
1962 | Jul | Fiction about life in two dimensions | 5. The Unexpected Hanging and Other Mathematical Diversions | 12. Flatlands |
1962 | Aug | A variety of diverting tricks collected at a fictitious convention of magicians | 5. The Unexpected Hanging and Other Mathematical Diversions | 13. Chicago Magic Convention |
1962 | Sep | Tests that show whether a large number can be divided by a number from 2 to 12 | 5. The Unexpected Hanging and Other Mathematical Diversions | 14. Tests of Divisibility |
1962 | Oct | A collection of puzzles involving numbers, logic, and probability | 5. The Unexpected Hanging and Other Mathematical Diversions | 15. Nine Problems |
1962 | Nov | Some puzzles based on checkerboards | 5. The Unexpected Hanging and Other Mathematical Diversions | 16. The Eight Queens and Other Chessboard Diversions |
1962 | Dec | Some simple tricks and manipulations from the ancient lore of string play | 5. The Unexpected Hanging and Other Mathematical Diversions | 17. A Loop of String |
1963 | Jan | The author pays his annual visit to Dr. Matrix, the numerologist | 4. The Magic Numbers of Dr. Matrix | 3. Sing Sing |
1963 | Feb | Curves of constant width, one of which makes it possible to drill square holes | 5. The Unexpected Hanging and Other Mathematical Diversions | 18. Curves of Constant Width |
1963 | Mar | A new paradox, and variations on it, about a man condemned to be hanged | 5. The Unexpected Hanging and Other Mathematical Diversions | 1. The Paradox of the Unexpected Hanging |
1963 | Apr | A bit of foolishness for April Fools' Day | 5. The Unexpected Hanging and Other Mathematical Diversions | 20. Thirty-Seven Catch Questions |
1963 | May | On "rep-tiles", polygons that can make larger and smaller copies of themselves | 5. The Unexpected Hanging and Other Mathematical Diversions | 19. Rep-Tiles: Replicating Figures on the Plane |
1963 | Jun | A discussion of helical structures, from corkscrews to DNA molecules | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 1. The Helix |
1963 | Jul | Topological diversions, including a bottle with no inside or outside | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 2. Klein Bottles and Other Surfaces |
1963 | Aug | Permutations and paradoxes in combinatorial mathematics | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 3. Combinatorial Theory |
1963 | Sep | How to solve puzzles by graphing the rebounds of a bouncing ball | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 4. Bouncing Balls in Polygons and Polyhedrons |
1963 | Oct | About two new and two old mathematical board games | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 5. Four Unusual Board Games |
1963 | Nov | A mixed bag of problems | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 6. The Rigid Square and Eight Other Problems |
1963 | Dec | How to use the odd-even check for tricks and problem-solving | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 8. Parity Checks |
1964 | Jan | Presenting the one and only Dr. Matrix, numerologist, in his annual performance | 4. The Magic Numbers of Dr. Matrix | 5. Chicago |
1964 | Feb | The hypnotic fascination of sliding-block puzzles | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 7. Sliding-Block Puzzles |
1964 | Mar | The remarkable lore of the prime numbers [cover] | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 9. Patterns and Primes |
1964 | Apr | Various problems based on planar graphs, or sets of "vertices" connected by "edges" | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 10. Graph Theory |
1964 | May | The tyranny of 10 overthrown with the ternary number system | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 11. The Ternary System |
1964 | Jun | A collection of short problems and more talk of prime numbers | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 12. The Trip around the Moon and Seven Other Problems |
1964 | Jul | Curious properties of a cycloid curve | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 13. The Cycloid: Helen of Geometry |
1964 | Aug | Concerning several magic tricks based on mathematical principles | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 14. Mathematical Magic Tricks |
1964 | Sep | Puns, palindromes and other word games that partake of the mathematical spirit | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 15. Word Play |
1964 | Oct | Simple proofs of the Pythagorean theorem, and sundry other matters | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 16. The Pythagorean Theorem |
1964 | Nov | Some paradoxes and puzzles involving infinite series and the concept of limit | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 17. Limits of Infinite Series |
1964 | Dec | On polyiamonds: shapes that are made out of equilateral triangles | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 18. Polyiamonds |
1965 | Jan | Some comments by Dr. Matrix on symmetries and reversals | 4. The Magic Numbers of Dr. Matrix | 6. Miami Beach |
1965 | Feb | Tetrahedrons in nature and architecture, and puzzles involving this simplest polyhedron | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 19. Tetrahedons |
1965 | Mar | A new group of short problems | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 20. Coleridge’s Apples and Eight Other Problems |
1965 | Apr | The infinite regress in philosophy, literature and mathematical proof | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 22. Infinite Regress |
1965 | May | The lattice of integers considered as an orchard or a billiard table | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 21. The Lattice of Integers |
1965 | Jun | Some diversions and problems from Mr. O'Gara, the postman | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 23. O’Gara, the Mathematical Mailman |
1965 | Jul | On the relation between mathematics and the ordered patterns of Op art [cover] | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 24. Op Art |
1965 | Aug | Thoughts on the task of communication with intelligent organisms on other worlds | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 25. Extraterrestrial Communications |
1965 | Sep | The "superellipse": a curve that lies between the ellipse and the rectangle | 7. Mathematical Carnival | 18. Piet Hein’s Superellipse |
1965 | Oct | Pentominoes and polyominoes: five games and a sampling of problems | 8. Mathematical Magic Show | 13. Polyominoes and Rectification |
1965 | Nov | A selection of elementary word and number problems | 7. Mathematical Carnival | 9. The Red-Faced Cube and Other Problems |
1965 | Dec | Magic stars, graphs and polyhedrons | 7. Mathematical Carnival | 5. Magic Stars and Polyhedrons |
1966 | Jan | Dr. Matrix returns, now in the guise of a neo-Freudian psychonumeranalyst | 4. The Magic Numbers of Dr. Matrix | 7. Philadelphia |
1966 | Feb | Recreational numismatics, or a purse of coin puzzles | 7. Mathematical Carnival | 2. Penny Puzzles |
1966 | Mar | The hierarchy of infinities and the problems it spawns | 7. Mathematical Carnival | 3. Aleph-Null and Aleph-one |
1966 | Apr | The eerie mathematical art of Maurits C. Escher | 7. Mathematical Carnival | 8. The Art of M. C. Escher |
1966 | May | How to "cook" a puzzle, or mathematical one-uppery | 7. Mathematical Carnival | 17. Cooks and Quibble-Cooks |
1966 | Jun | The persistence (and futility) of efforts to trisect the angle | 7. Mathematical Carnival | 19. How to Trisect an Angle |
1966 | Jul | Freud's friend Wilhelm Fliess and his theory of male and female life cycles | 7. Mathematical Carnival | 12. The Numerology of Dr. Fliess |
1966 | Aug | Puzzles that can be solved by reasoning based on elementary physical principles | 7. Mathematical Carnival | 14. The Rising Hourglass and Other Physics Puzzles |
1966 | Sep | The problem of Mrs. Perkins' quilt | 7. Mathematical Carnival | 11. Mrs. Perkins’ Quilt and Other Square-Packing Problems |
1966 | Oct | Can the shuffling of cards (and other apparently random events) be reversed? | 7. Mathematical Carnival | 10. Card Shuffles |
1966 | Nov | Is it possible to visualize a four-dimensional figure? | 7. Mathematical Carnival | 4. Hypercubes |
1966 | Dec | The multiple charms of Pascal's triangle | 7. Mathematical Carnival | 15. Pascal’s Triangle |
1967 | Jan | Dr. Matrix delivers a talk on acrostics | 4. The Magic Numbers of Dr. Matrix | 9. Wordsmith College |
1967 | Feb | Mathematical strategies for two-person contests | 7. Mathematical Carnival | 16. Jam, Hot, and Other Games |
1967 | Mar | An array of problems that can be solved with elementary mathematical techniques | 8. Mathematical Magic Show | 15. The Dragon Curve and Other Problems |
1967 | Apr | The amazing feats of professional mental calculators, and some tricks of the trade | 7. Mathematical Carnival | 6. Calculating Prodigies |
1967 | May | Cube-root extraction and the calendar trick, or how to cheat in mathematics | 7. Mathematical Carnival | 7. Tricks of Lightning Calculators |
1967 | Jun | The polyhex and the polyabolo, polygonal jigsaw puzzle pieces | 8. Mathematical Magic Show | 11. Polyhexes and Polyaboloes |
1967 | Jul | Of sprouts and Brussels sprouts, games with a topological flavor | 7. Mathematical Carnival | 1. Sprouts and Brussels Sprouts |
1967 | Aug | In which a computer prints out mammoth polygonal factorials | 8. Mathematical Magic Show | 4. Factorial Oddities |
1967 | Sep | Double acrostics, stylized Victorian ancestors of today's crossword puzzle | 8. Mathematical Magic Show | 6. Double Acrostics |
1967 | Oct | Problems that are built on the knight's move in chess | 8. Mathematical Magic Show | 14. Knights of the Square Table |
1967 | Nov | A mixed bag of logical and illogical problems to solve | 8. Mathematical Magic Show | 5. The Cocktail Cherry and Other Problems |
1967 | Dec | Game theory is applied (for a change) to games | 8. Mathematical Magic Show | 3. Game Theory, Guess It, Foxholes |
1968 | Jan | The beauties of the square, as expounded by Dr. Matrix to rehabilitate the hippie | 4. The Magic Numbers of Dr. Matrix | 10. Squaresville |
1968 | Feb | Combinatorial problems involving tree graphs and forests of trees | 8. Mathematical Magic Show | 17. Trees |
1968 | Mar | A short treatise on the useless elegance of perfect numbers and amicable pairs | 8. Mathematical Magic Show | 12. Perfect, Amicable, Sociable |
1968 | Apr | Puzzles and tricks with a dollar bill | 9. Mathematical Circus | 20. Dollar Bills |
1968 | May | Circles and spheres, and how they kiss and pack | 9. Mathematical Circus | 3. Spheres and Hyperspheres |
1968 | Jun | Combinatorial possibilities in a pack of shuffled cards | 8. Mathematical Magic Show | 7. Playing Cards |
1968 | Jul | On the meaning of randomness and some ways of achieving it | 7. Mathematical Carnival | 13. Random Numbers |
1968 | Aug | An array of puzzles and tricks, with a few traps for the unwary | 8. Mathematical Magic Show | 10. Ridiculous Questions |
1968 | Sep | Counting systems and the relationship between numbers and the real world | 8. Mathematical Magic Show | 8. Finger Arithmetic |
1968 | Oct | MacMahon's color triangles and the joys of fitting them together | 8. Mathematical Magic Show | 16. Colored Triangles and Cubes |
1968 | Nov | On the ancient lore of dice and the odds against making a point | 8. Mathematical Magic Show | 18. Dice |
1968 | Dec | The world of the Möbius strip: endless, edgeless and one-sided | 8. Mathematical Magic Show | 9. Möbius Bands |
1969 | Jan | Dr. Matrix gives his explanation of why Mr. Nixon was elected President | 4. The Magic Numbers of Dr. Matrix | 12. Fifth Avenue |
1969 | Feb | Boolean algebra, Venn diagrams and the propositional calculus | 9. Mathematical Circus | 8. Boolean Algebra |
1969 | Mar | The multiple fascinations of the Fibonacci sequence | 9. Mathematical Circus | 13. Fibonacci and Lucas Numbers |
1969 | Apr | An octet of problems that emphasize gamesmanship, logic and probability | 9. Mathematical Circus | 15. The Rotating Round Table and Other Problems |
1969 | May | The rambling random walk and its gambling equivalent | 9. Mathematical Circus | 6. Random Walks and Gambling |
1969 | Jun | Random walks, by semidrunk bugs and others, on the square and on the cube | 9. Mathematical Circus | 7. Random Walks on the Plane and in Space |
1969 | Jul | Tricks, games and puzzles that employ matches as counters and line segments | 9. Mathematical Circus | 2. Matches |
1969 | Aug | Simplicity as a scientific concept: Does nature keep her accounts on a thumbnail? | 9. Mathematical Circus | 14. Simplicity |
1969 | Sep | Geometric constructions with a compass and a straightedge, and also with a compass alone | 9. Mathematical Circus | 17. Mascheroni Constructions |
1969 | Oct | A numeranalysis by Dr. Matrix of the lunar flight of Apollo 11 | 4. The Magic Numbers of Dr. Matrix | 13. The Moon |
1969 | Nov | A new pencil-and-paper game based on inductive reasoning [cover] | 9. Mathematical Circus | 4. Patterns of Induction |
1969 | Dec | A handful of combinatorial problems based on dominoes | 9. Mathematical Circus | 12. Dominoes |
1970 | Jan | The abacus: primitive but effective digital computer | 9. Mathematical Circus | 18. The Abacus |
1970 | Feb | Nine new puzzles to solve | 9. Mathematical Circus | 11. Eccentric Chess and Other Problems |
1970 | Mar | Cyclic numbers and their properties | 9. Mathematical Circus | 10. Cyclic Numbers |
1970 | Apr | Some mathematical curiosities embedded in the solar system | 9. Mathematical Circus | 16. Solar System Oddities |
1970 | May | Of optical illusions, from figures that are undecidable to hot dogs that float | 9. Mathematical Circus | 1. Optical Illusions |
1970 | Jun | Elegant triangle theorems not to be found in Euclid | 9. Mathematical Circus | 5. Elegant Triangles |
1970 | Jul | Diophantine analysis and the problem of Fermat's legendary "last theorem" | 10. Wheels, Life, and Other Mathematical Amusements | 2. Diophantine Analysis and Fermat's Last Theorem |
1970 | Aug | Backward run numbers, letters, words and sentences until boggles the mind | 9. Mathematical Circus | 19. Palindromes: Words and Numbers |
1970 | Sep | On the cyclical curves generated by wheels that roll along wheels | 10. Wheels, Life, and Other Mathematical Amusements | 1. Wheels |
1970 | Oct | The fantastic combinations of John Conway's new solitaire game "life" | 10. Wheels, Life, and Other Mathematical Amusements | 20. The Game of Life, Part I |
1970 | Nov | A new collection of short problems and the answers to some of "life's" | 10. Wheels, Life, and Other Mathematical Amusements | 3. The Knotted Molecule and Other Problems |
1970 | Dec | The paradox of the nontransitive dice and the elusive principle of indifference | 10. Wheels, Life, and Other Mathematical Amusements | 5. Nontransitive Dice and Other Probability Paradoxes |
1971 | Jan | Lessons from Dr. Matrix in chess and numerology | 4. The Magic Numbers of Dr. Matrix | 14. Honolulu |
1971 | Feb | On cellular automata, self-reproduction, the Garden of Eden and the game "life" [cover] | 10. Wheels, Life, and Other Mathematical Amusements | 21. The Game of Life, Part II |
1971 | Mar | The orders of infinity, the topological nature of dimension and "supertasks" | 10. Wheels, Life, and Other Mathematical Amusements | 4. Alephs and Supertasks |
1971 | Apr | Geometric fallacies: hidden errors pave the road to absurd conclusions | 10. Wheels, Life, and Other Mathematical Amusements | 6. Geometric Fallacies |
1971 | May | The combinatorial richness of folding a piece of paper | 10. Wheels, Life, and Other Mathematical Amusements | 7. The Combinatorics of Paper Folding |
1971 | Jun | The Turing game and the question it presents: Can a computer think? | 9. Mathematical Circus | 9. Can Machines Think? |
1971 | Jul | Quickie problems: not hard, but look out for the curves | 10. Wheels, Life, and Other Mathematical Amusements | 8. A Set of Quickies |
1971 | Aug | Ticktacktoe and its complications | 10. Wheels, Life, and Other Mathematical Amusements | 9. Ticktacktoe Games |
1971 | Sep | The plaiting of Plato's polyhedrons and the asymmetrical yin-yang-lee | 10. Wheels, Life, and Other Mathematical Amusements | 10. Plaiting Polyhedrons |
1971 | Oct | New puzzles from the game of Halma, the noble ancestor of Chinese checkers | 10. Wheels, Life, and Other Mathematical Amusements | 11. The Game of Halma |
1971 | Nov | Advertising premiums to beguile the mind: classics by Sam Loyd, master puzzle-poser | 10. Wheels, Life, and Other Mathematical Amusements | 12. Advertising Premiums |
1971 | Dec | Further encounters with touching cubes, and the paradoxes of Zeno as "supertasks" | 10. Wheels, Life, and Other Mathematical Amusements | 13. Salmon on Austin's Dog |
1972 | Jan | How to triumph at nim by playing safe, and John Horton Conway's game "Hackenbush" | 10. Wheels, Life, and Other Mathematical Amusements | 14. Nim and Hackenbush |
1972 | Feb | Dr. Matrix poses some heteroliteral puzzles while peddling perpetual motion in Houston | 4. The Magic Numbers of Dr. Matrix | 15. Houston |
1972 | Mar | The graceful graphs of Solomon Golomb, or how to number a graph parsimoniously | 10. Wheels, Life, and Other Mathematical Amusements | 15. Golomb’s Graceful Graphs |
1972 | Apr | A topological problem with a fresh twist, and eight other new recreational puzzles | 10. Wheels, Life, and Other Mathematical Amusements | 16. Charles Addams’ Skier and other Problems |
1972 | May | Challenging chess tasks for puzzle buffs and answers to the recreational problems | 10. Wheels, Life, and Other Mathematical Amusements | 17. Chess Tasks |
1972 | Jun | A miscellany of transcendental problems: simple to state but not at all easy to solve | 10. Wheels, Life, and Other Mathematical Amusements | 18. Slither, 3X+1, and Other Curious Questions |
1972 | Jul | Amazing mathematical card tricks that do not require prestidigitation | 10. Wheels, Life, and Other Mathematical Amusements | 19. Mathematical Tricks With Cards |
1972 | Aug | The curious properties of the Gray code and how it can be used to solve puzzles | 11. Knotted Doughnuts and Other Mathematical Entertainments | 2. The Binary Gray Code |
1972 | Sep | Pleasurable problems with polycubes | 11. Knotted Doughnuts and Other Mathematical Entertainments | 3. Polycubes |
1972 | Oct | Why the long arm of coincidence is usually not as long as it seems | 11. Knotted Doughnuts and Other Mathematical Entertainments | 1. Coincidence |
1972 | Nov | On the practical uses and bizarre abuses of Sir Francis Bacon's biliteral cipher | 11. Knotted Doughnuts and Other Mathematical Entertainments | 4. Bacon’s Cipher |
1972 | Dec | Knotty problems with a two-hole torus | 11. Knotted Doughnuts and Other Mathematical Entertainments | 5. Doughnuts: Linked and Knotted |
1973 | Jan | Sim, Chomp and Race Track: new games for the intellect (and not for Lady Luck) | 11. Knotted Doughnuts and Other Mathematical Entertainments | 9. Sim, Chomp and Racetrack |
1973 | Feb | Up-and-down elevator games and Piet Hein's mechanical puzzles | 11. Knotted Doughnuts and Other Mathematical Entertainments | 10. Elevators |
1973 | Mar | The calculating rods of John Napier, the eccentric father of the logarithm | 11. Knotted Doughnuts and Other Mathematical Entertainments | 7. Napier's Bones |
1973 | Apr | How to turn a chessboard into a computer and to calculate with negabinary numbers | 11. Knotted Doughnuts and Other Mathematical Entertainments | 8. Napier’s Abacus |
1973 | May | A new miscellany of problems | 11. Knotted Doughnuts and Other Mathematical Entertainments | 6. The Tour of the Arrows and Other Problems |
1973 | Jun | Plotting the crossing number of graphs | 11. Knotted Doughnuts and Other Mathematical Entertainments | 11. Crossing Numbers |
1973 | Jul | Free will revisited, with a mind-bending prediction paradox by William Newcomb | 11. Knotted Doughnuts and Other Mathematical Entertainments | 13. Newcomb’s Paradox |
1973 | Aug | An astounding self-test of clairvoyance by Dr. Matrix | 4. The Magic Numbers of Dr. Matrix | 16. Clairvoyance Test |
1973 | Sep | Problems on the surface of a sphere offer an entertaining introduction to point sets | 11. Knotted Doughnuts and Other Mathematical Entertainments | 12. Point Sets on the Sphere |
1973 | Oct | "Look-see" diagrams that offer visual proof of complex algebraic formulas | 11. Knotted Doughnuts and Other Mathematical Entertainments | 16. Look-See Proofs |
1973 | Nov | Fantastic patterns traced by programmed "worms" | 11. Knotted Doughnuts and Other Mathematical Entertainments | 17. Worm Paths |
1973 | Dec | On expressing integers as the sum of cubes and other unsolved number-theory problems | 11. Knotted Doughnuts and Other Mathematical Entertainments | 18. Waring’s Problems |
1974 | Jan | The combinatorial basis of the "I Ching," the Chinese book of divination and wisdom [cover] | 11. Knotted Doughnuts and Other Mathematical Entertainments | 20. The I Ching |
1974 | Feb | Cram, crosscram and quadraphage: new games having elusive winning strategies | 11. Knotted Doughnuts and Other Mathematical Entertainments | 19. Cram, Bynum and Quadraphage |
1974 | Mar | Reflections on Newcomb's problem: a prediction and free-will dilemma | 11. Knotted Doughnuts and Other Mathematical Entertainments | 14. Reflections on Newcomb’s Paradox |
1974 | Apr | Nine challenging problems, some rational and some not | 11. Knotted Doughnuts and Other Mathematical Entertainments | 15. Reverse the Fish and Other Problems |
1974 | May | On the contradictions of time travel | 12. Time Travel and Other Mathematical Bewilderments | 1. Time Travel |
1974 | Jun | Dr. Matrix brings his numerological Science to bear on the occult powers of the pyramid | 4. The Magic Numbers of Dr. Matrix | 17. Pyramid Lake |
1974 | Jul | On the patterns and the unusual properties of figurate numbers | 12. Time Travel and Other Mathematical Bewilderments | 2. Hexes and Stars |
1974 | Aug | On the fanciful history and the creative challenges of the puzzle game of tangrams | 12. Time Travel and Other Mathematical Bewilderments | 3. Tangrams, Part 1 |
1974 | Sep | More on tangrams: Combinatorial problems and the game possibilities of snug tangrams | 12. Time Travel and Other Mathematical Bewilderments | 4. Tangrams, Part 2 |
1974 | Oct | On the paradoxical situations that arise from nontransitive relations | 12. Time Travel and Other Mathematical Bewilderments | 5. Nontransitive Paradoxes |
1974 | Nov | Some new and dramatic demonstrations of number theorems with playing cards | 12. Time Travel and Other Mathematical Bewilderments | 6. Combinatorial Card Problems |
1974 | Dec | The arts as combinatorial mathematics, or how to compose like Mozart with dice | 12. Time Travel and Other Mathematical Bewilderments | 7. Melody-Making Machines |
1975 | Jan | The curious magic of anamorphic art [cover] | 12. Time Travel and Other Mathematical Bewilderments | 8. Anamorphic Art |
1975 | Feb | How the absence of anything leads to thoughts of nothing | 8. Mathematical Magic Show | 1. Nothing |
1975 | Mar | From rubber ropes to rolling cubes, a miscellany of refreshing problems | 12. Time Travel and Other Mathematical Bewilderments | 9. The Rubber Rope and Other Problems |
1975 | Apr | Six sensational discoveries that somehow or another have escaped public attention | 12. Time Travel and Other Mathematical Bewilderments | 10. Six Sensational Discoveries |
1975 | May | On the remarkable Császár polyhedron and its applications in problem solving | 12. Time Travel and Other Mathematical Bewilderments | 11. The Császár Polyhedron |
1975 | Jun | Games of strategy for two players: star nim, meander, dodgem and rex | 12. Time Travel and Other Mathematical Bewilderments | 12. Dodgem and Other Simple Games |
1975 | Jul | On tessellating the plane with convex polygon tiles | 12. Time Travel and Other Mathematical Bewilderments | 13. Tiling with Convex Polygons |
1975 | Aug | More about tiling the plane: the possibilities of polyominoes, polyiamonds, and polyhexes | 12. Time Travel and Other Mathematical Bewilderments | 14. Tiling with Polyominoes, Polyiamonds, and Polyhexes |
1975 | Sep | Dr. Matrix finds numerological wonders in the King James Bible | 4. The Magic Numbers of Dr. Matrix | 18. The King James Bible |
1975 | Nov | On map projections (with special reference to some inspired ones) [cover] | 12. Time Travel and Other Mathematical Bewilderments | 15. Curious Maps |
1975 | Dec | A random assortment of puzzles, together with reader responses to earlier problems | 12. Time Travel and Other Mathematical Bewilderments | 16. The Sixth Symbol and Other Problems |
1976 | Jan | A breakthrough in magic squares, and the first perfect magic cube | 12. Time Travel and Other Mathematical Bewilderments | 17. Magic Squares and Cubes |
1976 | Feb | Some elegant brick-packing problems, and a new order-7 perfect magic cube | 12. Time Travel and Other Mathematical Bewilderments | 18. Block Packing |
1976 | Mar | On the fabric of inductive logic, and some probability paradoxes | 12. Time Travel and Other Mathematical Bewilderments | 19. Induction and Probability |
1976 | Apr | Snarks, Boojums and other conjectures related to the four-color-map theorem | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 23. Trivalent Graphs, Snarks, and Boojums |
1976 | May | A few words about everything there was, is and ever will be | 8. Mathematical Magic Show | 19. Everything |
1976 | Jun | Catalan numbers: an integer sequence that materializes in unexpected places | 12. Time Travel and Other Mathematical Bewilderments | 20. Catalan Numbers |
1976 | Jul | Fun and serious business with the small electronic calculator | 12. Time Travel and Other Mathematical Bewilderments | 21. Fun with a Pocket Calculator |
1976 | Aug | The symmetrical arrangement of the stars on the American flag and related matters | 12. Time Travel and Other Mathematical Bewilderments | 22. Tree-Plant Problems |
1976 | Sep | John Horton Conway's book covers an infinity of games | 13. Penrose Tiles to Trapdoor Ciphers | 4. Conway's Surreal Numbers |
1976 | Oct | Combinatorial problems, some old, some new and all newly attacked by computer | 13. Penrose Tiles to Trapdoor Ciphers | 5. Back from the Klondike and Other Problems |
1976 | Nov | In which DM (Dr. Matrix) is revealed as the guru of PM (Pentagonal Meditation) | 4. The Magic Numbers of Dr. Matrix | 19. Calcutta |
1976 | Dec | In which "monster" curves force redefinition of the word "curve" | 13. Penrose Tiles to Trapdoor Ciphers | 3. Mandelbrot’s Fractals |
1977 | Jan | Extraordinary nonperiodic tiling that enriches the theory of tiles [cover] | 13. Penrose Tiles to Trapdoor Ciphers | 1. Penrose Tiling |
1977 | Feb | The flip-strip sonnet, the lipogram and other mad modes of wordplay | 13. Penrose Tiles to Trapdoor Ciphers | 6. The Oulipo |
1977 | Mar | Cornering a queen leads unexpectedly into corners of the theory of numbers | 13. Penrose Tiles to Trapdoor Ciphers | 8. Wythoff's Nim |
1977 | Apr | The pool-table triangle, a limerick paradox and divers other challenges | 13. Penrose Tiles to Trapdoor Ciphers | 9. Pool-Ball Triangles and Other Problems |
1977 | May | The "jump proof" and its similarity to the toppling of a row of dominoes | 13. Penrose Tiles to Trapdoor Ciphers | 10. Mathematical Induction and Colored Hats |
1977 | Jun | The concept of negative numbers and the difficulty of grasping it | 13. Penrose Tiles to Trapdoor Ciphers | 11. Negative Numbers |
1977 | Jul | Cutting things into equal parts leads into significant areas of mathematics | 13. Penrose Tiles to Trapdoor Ciphers | 12. Cutting Shapes into N Congruent Parts |
1977 | Aug | A new kind of cipher that would take millions of years to break | 13. Penrose Tiles to Trapdoor Ciphers | 13. Trapdoor Ciphers |
1977 | Sep | On conic sections, ruled surfaces and other manifestations of the hyperbola | 13. Penrose Tiles to Trapdoor Ciphers | 15. Hyperbolas |
1977 | Oct | On playing New Eleusis, the game that simulates the search for truth | 13. Penrose Tiles to Trapdoor Ciphers | 16. The New Eleusis |
1977 | Nov | In which joining sets of points by lines leads into diverse (and diverting) paths | 13. Penrose Tiles to Trapdoor Ciphers | 17. Ramsey Theory |
1977 | Dec | Dr. Matrix goes to California to apply punk to rock study | 4. The Magic Numbers of Dr. Matrix | 20. Stanford |
1978 | Jan | The sculpture of Miguel Berrocal can be taken apart like an interlocking mechanical puzzle | 13. Penrose Tiles to Trapdoor Ciphers | 18. From Burrs to Berrocal |
1978 | Feb | On checker jumping, the Amazon game, weird dice, card tricks and other playful pastimes | 13. Penrose Tiles to Trapdoor Ciphers | 19. Sicherman Dice, the Kruskal Count and Other Curiosities |
1978 | Mar | Count Dracula, Alice, Portia and many others consider various twists of logic | 13. Penrose Tiles to Trapdoor Ciphers | 20. Ramond Smullyan's Logic Puzzles |
1978 | Apr | White and brown music, fractal curves and one-over-f fluctuations [cover] | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 1. White, Brown, and Fractal Music |
1978 | May | The Bells: versatile numbers that can count partitions of a set, primes and even rhymes | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 2. The Tinkly Temple Bells |
1978 | Jun | A mathematical zoo of astounding critters, imaginary and otherwise | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 3. The Mathematical Zoo |
1978 | Jul | On Charles Sanders Peirce: philosopher and gamesman | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 4. Charles Sanders Peirce |
1978 | Aug | A Möbius band has a finite thickness, and so it is actually a twisted prism | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 5. Twisted Prismatic Rings |
1978 | Sep | Puzzling over a problem-solving matrix, cubes of many colors and three-dimensional dominoes | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 6. The Thirty Color Cubes |
1978 | Oct | Puzzles and number-theory problems arising from the curious fractions of ancient Egypt | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 7. Egyptian Fractions |
1978 | Nov | In which a mathematical aesthetic is applied to modern minimal art | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 8. Minimal Sculpture |
1978 | Dec | Is it a superintelligent robot or does Dr. Matrix ride again? | 4. The Magic Numbers of Dr. Matrix | 21. Chautauqua |
1979 | Jan | The diverse pleasures of circles that are tangent to one another | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 10. Tangent Circles |
1979 | Feb | About rectangling rectangles, parodying Poe and many another pleasing problem | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 11. The Rotating Table and Other Problems |
1979 | Mar | On altering the past, delaying the future and other ways of tampering with time | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 12. Does Time Ever Stop? Can the Past Be Altered? |
1979 | Apr | In which players of ticktacktoe are taught to hunt bigger game | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 13. Generalized Ticktacktoe |
1979 | May | How to be a psychic, even if you are a horse or some other animal | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 14. Psychic Wonders and Probability |
1979 | Jun | Chess problems on a higher plane, including mirror images, rotations and the superqueen | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 15. Mathematical Chess Problems |
1979 | Jul | Douglas R. Hofstadter's "Gödel, Escher, Bach" | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 16. Douglas Hofstadter's Gödel, Escher, Bach |
1979 | Aug | The imaginableness of the imaginary numbers | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 17. Imaginary Numbers |
1979 | Sep | In some patterns of numbers or words there may be less than meets the eye | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 18. Pi and Poetry: Some Accidental Patterns |
1979 | Oct | Some packing problems that cannot be solved by sitting on the suitcase | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 20. Packing Squares |
1979 | Nov | The random number omega bids fair to hold the mysteries of the universe | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 21. Chaitin's Omega |
1979 | Dec | A pride of problems, including one that is virtually impossible | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 21. A Toroidal Paradox and Other Problems |
1980 | Jan | Checkers, a game that can be more interesting than one might think | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 13. Checker Recreations, Part I |
1980 | Feb | The coloring of unusual maps leads into uncharted territory | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 6. M-Pire Maps |
1980 | Mar | Graphs that can help cannibals, missionaries, wolves, goats and cabbages get there from here | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 7. Directed Graphs and Cannibals |
1980 | Apr | Fun with eggs: uncooked, cooked and mathematical | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 3. Fun with Eggs, Part I |
1980 | May | What unifies dinner guests, strolling schoolgirls and handcuffed prisoners? | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 8. Dinner Guests, Schoolgirls, and Handcuffed Prisoners |
1980 | Jun | The capture of the monster: a mathematical group with a ridiculous number of elements | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 9. The Monster and Other Sporadic Groups |
1980 | Jul | The pleasures of doing Science and technology in the planiverse | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 1. The Wonders of a Planiverse |
1980 | Aug | On the fine art of putting players, pills and points into their proper pigeonholes | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 11. The Power of the Pigeonhole |
1980 | Sep | Dr. Matrix, like Mr. Holmes, comes to an untimely and mysterious end | 4. The Magic Numbers of Dr. Matrix | 22. Istanbul |
1980 | Oct | From counting votes to making votes count: the mathematics of elections | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 20. Voting Mathematics |
1980 | Nov | Taxicab geometry offers a free ride to a non-Euclidean locale | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 10. Taxicab Geometry |
1980 | Dec | Patterns in primes are a clue to the strong law of small numbers | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 12. Strong Laws of Small Primes |
1981 | Feb | Gauss's congruence theory was mod as early as 1801 | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 15. Modulo Arithmetic and Hummer’s Wicked Witch |
1981 | Apr | How Lavinia finds a room on University Avenue, and other geometric problems | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 16. Lavinia Seeks a Room and Other Problems |
1981 | Jun | The inspired geometrical symmetries of Scott Kim | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 17. The Symmetry Creations of Scott Kim |
1981 | Aug | The abstract parabola fits the concrete world | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 18. Parabolas |
1981 | Oct | Euclid's parallel postulate and its modern offspring | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 19. Non-Euclidean Geometry |
1981 | Dec | The Laffer curve and other laughs in current economics | 11. Knotted Doughnuts and Other Mathematical Entertainments | 21. The Laffer Curve |
1983 | Aug | Tasks you cannot help finishing no matter how hard you try to block finishing them | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 2. Bulgarian Solitaire and Other Seemingly Endless Tasks |
1983 | Sep | The topology of knots | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 5. The Topology of Knots |
1986 | Jun | Casting a net on a checkerboard and other puzzles of the forest | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 22. Minimal Steiner Trees |
There are five article in Scientific American written by Martin Gardner which are not collected into one of these books, one of which was a Mathematical Games column.
Year | Month | Article title |
---|---|---|
1952 | Mar | Logic Machines |
1975 | Oct | Concerning an effort to demonstrate extrasensory perception by machine [Mathematical Games] |
1998 | Aug | A Quarter-Century of Recreational Mathematics |
2007 | Apr | Is Beauty Truth and Truth Beauty? [book review] |
2967 | Jan | Can Time go Backward? |