Peter Rowlett, Last update November 2023.
I think I'm done. I'm archiving this page so it is no longer the main page and writing a new main page giving the outcome.
In mid-2022 I completed my collection of Martin Gardner's books that reproduce his Scientific American columns and wondered about a mapping of columns to book chapters. Discovering none was available, I wondered about making one. However, I did not have access to the columns (say, via my university library) to compare. I gathered what data I have, hoping others might help fill in the details. I had an initial conversation via G4G that suggested such an index was in draft but not public and would be developed in time, so I more-or-less let this project into abeyance before telling anyone about it. (A few times I noticed he writes something in a book that indicates when a column appeared in the magazine, and once I saw a handful of paper copies of Scientific American and took the opportunity to update some of the information held.)
Anyway, I just noticed that my university library now has electronic access to the entire Scientific American archive, which makes the prospect of my compiling such an index much less far-fetched. So I am working systematically through these.
Original text follows.
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. Article titles are not used as chapter titles in the books. I'm also aware of four other articles Gardner wrote in Scientific American, at least one of which (on hexaflexagons) I think is included in one of the books. I expect the other 3 are not included in any collection, but have included them in my dataset here for now. I think there are some chapters that were not Mathematical Games articles, especially in the Dr. Matrix book.
I would like a list of which columns appear in which book. As far as I can tell, no such list is available.
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.
I have a collection of books and a list of articles. I have tried to match each article to a chapter in one of the books. I don't have copies of the articles, so this is based on my best guess. Some I feel more confident about that others, but there is a lot of uncertainty. There are some chapters I haven't been able to associate with an article, and I am sure there are some mistakes in my allocations.
The table below summarises the information currently held. The first table is the data I am unsure about. The second table is the data where I think the association between article and book chapter is correct. It is ordered by article publishing date. Click 'more info' for all information held on this chapter including any notes. The first table contains (at the bottom) a few chapters I haven't been able to associate with articles.
I need help from people who have knowledge to support or correct the information in this table. If you are sure one of my guesses is correct, it would be really useful to hear so. If I have something wrong, equally useful. For example, if you have access to a book and a copy of Scientific American for an article I have associated but am unsure about, you could check they match and write to tell me whether I have this correct.
Three options to send me information:
I'm aware that there are multiple versions and editions of the books, other collections reprinting chapters from these books, etc. I'm open to incorporating these, but to keep things simple for now I've stuck to the versions/editions of the books that I happen to have picked up.
302 Scientific American articles (297 from Mathematical Games), 13 chapters not allocated to an article and 5 articles do not have a chapter allocated to them. We have confirmed data on 310 chapters.
Year | Month | Article title | Mathematical Games column? | Book | Chapter | Confirmed? | More info |
---|---|---|---|---|---|---|---|
1952 | Mar | Logic Machines | N | . | . | no | 1 note available. More info on Mar 1952 |
1975 | Oct | Concerning an effort to demonstrate extrasensory perception by machine | Y | . | . | no | 2 notes available. More info on Oct 1975 |
1998 | Aug | A Quarter-Century of Recreational Mathematics | N | . | . | no | 1 note available. More info on Aug 1998 |
2007 | Apr | Is Beauty Truth and Truth Beauty? [book review] | N | . | . | no | 1 note available. More info on Apr 2007 |
2967 | Jan | Can Time go Backward? | N | . | . | no | 1 note available. More info on Jan 2967 |
Year | Month | Article title | Mathematical Games column? | Book | Chapter | Confirmed? | More info |
---|---|---|---|---|---|---|---|
1956 | Dec | Flexagons | N | 1. Mathematical Puzzles and Diversions | 1. Hexaflexagons | yes | 3 notes available. More info on Dec 1956 |
1957 | Jan | A new kind of magic square with remarkable properties | Y | 1. Mathematical Puzzles and Diversions | 2. Magic with a Matrix | yes | 2 notes available. More info on Jan 1957 |
1957 | Feb | An assortment of maddening puzzles | Y | 1. Mathematical Puzzles and Diversions | 3. Nine Problems | yes | 2 notes available. More info on Feb 1957 |
1957 | Mar | Some old and new versions of ticktacktoe | Y | 1. Mathematical Puzzles and Diversions | 4. Ticktactoe, or Noughts and Crosses | yes | 2 notes available. More info on Mar 1957 |
1957 | Apr | Paradoxes dealing with birthdays, playing cards, coins, crows and red-haired typists | Y | 1. Mathematical Puzzles and Diversions | 5. Probability Paradoxes | yes | 2 notes available. More info on Apr 1957 |
1957 | May | About the remarkable similarity between the Icosian Game and the Tower of Hanoi | Y | 1. Mathematical Puzzles and Diversions | 6. The Icosian Game and the Tower of Hanoi | yes | 2 notes available. More info on May 1957 |
1957 | Jun | Curious figures descended from the Moebius band, which has only one side and one edge | Y | 1. Mathematical Puzzles and Diversions | 7. Curious Topological Models | yes | 2 notes available. More info on Jun 1957 |
1957 | Jul | Concerning the game of Hex, which may be played on the tiles of the bathroom floor | Y | 1. Mathematical Puzzles and Diversions | 8. The Game of Hex | yes | 2 notes available. More info on Jul 1957 |
1957 | Aug | The life and work of Sam Loyd, a mighty inventor of puzzles | Y | 1. Mathematical Puzzles and Diversions | 9. Sam Loyd: America’s Greatest Puzzlist | yes | 2 notes available. More info on Aug 1957 |
1957 | Sep | Concerning various card tricks with a mathematical message | Y | 1. Mathematical Puzzles and Diversions | 10. Mathematical Card Tricks | yes | 2 notes available. More info on Sep 1957 |
1957 | Oct | How to remember numbers by mnemonic devices such as cuff links and red zebras | Y | 1. Mathematical Puzzles and Diversions | 11. Memorizing Numbers | yes | 2 notes available. More info on Oct 1957 |
1957 | Nov | Nine titillating puzzles | Y | 1. Mathematical Puzzles and Diversions | 12. Nine More Problems | yes | 2 notes available. More info on Nov 1957 |
1957 | Dec | More about complex dominoes | Y | 1. Mathematical Puzzles and Diversions | 13. Polyominoes | yes | 2 notes available. More info on Dec 1957 |
1958 | Jan | A collection of tantalizing fallacies of mathematics | Y | 1. Mathematical Puzzles and Diversions | 14. Fallacies | yes | 2 notes available. More info on Jan 1958 |
1958 | Feb | Concerning the game of Nim and its mathematical analysis | Y | 1. Mathematical Puzzles and Diversions | 15. Nim and Tic Tax | yes | 2 notes available. More info on Feb 1958 |
1958 | Mar | About left- and right-handedness, mirror images and kindred matters | Y | 1. Mathematical Puzzles and Diversions | 16. Left or Right? | yes | 2 notes available. More info on Mar 1958 |
1958 | Apr | Concerning the celebrated puzzle of five sailors, a monkey and a pile of coconuts | Y | 2. More Mathematical Puzzles and Diversions | 9. The Monkey and the Coconuts | yes | 2 notes available. More info on Apr 1958 |
1958 | May | About tetraflexagons and tetraflexagation | Y | 2. More Mathematical Puzzles and Diversions | 2. Tetraflexagons | yes | 2 notes available. More info on May 1958 |
1958 | Jun | About Henry Ernest Dudeney, a brilliant creator of puzzles | Y | 2. More Mathematical Puzzles and Diversions | 3. Henry Ernest Dudeney:: England’s Greatest Puzzlist | yes | 2 notes available. More info on Jun 1958 |
1958 | Jul | Some diverting tricks which involve the concept of numerical congruence | Y | 2. More Mathematical Puzzles and Diversions | 4. Digital Roots | yes | 2 notes available. More info on Jul 1958 |
1958 | Aug | A third collection of "brain-teasers" | Y | 2. More Mathematical Puzzles and Diversions | 5. Nine Problems | yes | 2 notes available. More info on Aug 1958 |
1958 | Sep | A game in which standard pieces composed of cubes are assembled into larger forms | Y | 2. More Mathematical Puzzles and Diversions | 6. The Soma Cube | yes | 2 notes available. More info on Sep 1958 |
1958 | Oct | Four mathematical diversions involving concepts of topology | Y | 2. More Mathematical Puzzles and Diversions | 7. Recreational Topology | yes | 2 notes available. More info on Oct 1958 |
1958 | Nov | How rectangles, including squares, can be divided into squares of unequal size [cover] | Y | 2. More Mathematical Puzzles and Diversions | 17. Squaring the Square | yes | 2 notes available. More info on Nov 1958 |
1958 | Dec | Diversions which involve the five Platonic solids | Y | 2. More Mathematical Puzzles and Diversions | 1. The Five Platonic Solids | yes | 2 notes available. More info on Dec 1958 |
1959 | Jan | About mazes and how they can be traversed | Y | 2. More Mathematical Puzzles and Diversions | 10. Mazes | yes | 2 notes available. More info on Jan 1959 |
1959 | Feb | "Brain-teasers" that involve formal logic | Y | 2. More Mathematical Puzzles and Diversions | 11. Recreational Logic | yes | 2 notes available. More info on Feb 1959 |
1959 | Mar | Concerning the properties of various magic squares | Y | 2. More Mathematical Puzzles and Diversions | 12. Magic Squares | yes | 2 notes available. More info on Mar 1959 |
1959 | Apr | The mathematical diversions of a fictitious carnival man | Y | 2. More Mathematical Puzzles and Diversions | 13. James Hugh Riley Shows, Inc. | yes | 2 notes available. More info on Apr 1959 |
1959 | May | Another collection of "brain-teasers" | Y | 2. More Mathematical Puzzles and Diversions | 14. Nine More Problems | yes | 2 notes available. More info on May 1959 |
1959 | Jun | An inductive card game | Y | 2. More Mathematical Puzzles and Diversions | 15. Eleusis: The Induction Game | yes | 2 notes available. More info on Jun 1959 |
1959 | Jul | About Origami, the Japanese art of folding objects out of paper | Y | 2. More Mathematical Puzzles and Diversions | 16. Origami | yes | 2 notes available. More info on Jul 1959 |
1959 | Aug | About phi, an irrational number that has some remarkable geometrical expressions | Y | 2. More Mathematical Puzzles and Diversions | 8. Phi: The Golden Ratio | yes | 2 notes available. More info on Aug 1959 |
1959 | Sep | Concerning mechanical puzzles, and how an enthusiast has collected 2,000 of them | Y | 2. More Mathematical Puzzles and Diversions | 18. Mechanical Puzzles | yes | 2 notes available. More info on Sep 1959 |
1959 | Oct | Problems involving questions of probability and ambiguity | Y | 2. More Mathematical Puzzles and Diversions | 19. Probability and Ambiguity | yes | 2 notes available. More info on Oct 1959 |
1959 | Nov | How three modern mathematicians disproved a celebrated conjecture of Leonhard Euler [cover] | Y | 3. New Mathematical Diversions from Scientific American | 14. Euler’s Spoilers: The Discovery of an Order-10 Graeco-Latin Square | yes | 2 notes available. More info on Nov 1959 |
1959 | Dec | Diversions that clarify group theory, particularly by the weaving of braids | Y | 3. New Mathematical Diversions from Scientific American | 2. Group Theory and Braids | yes | 2 notes available. More info on Dec 1959 |
1960 | Jan | A fanciful dialogue about the wonders of numerology | Y | 4. The Magic Numbers of Dr. Matrix | 1. New York | yes | 2 notes available. More info on Jan 1960 |
1960 | Feb | A fifth collection of "brain-teasers" | Y | 3. New Mathematical Diversions from Scientific American | 3. Eight Problems | yes | 2 notes available. More info on Feb 1960 |
1960 | Mar | The games and puzzles of Lewis Carroll | Y | 3. New Mathematical Diversions from Scientific American | 4. The Games and Puzzles of Lewis Carroll | yes | 2 notes available. More info on Mar 1960 |
1960 | Apr | About mathematical games that are played on boards | Y | 3. New Mathematical Diversions from Scientific American | 6. Board Games | yes | 2 notes available. More info on Apr 1960 |
1960 | May | Reflections on the packing of spheres | Y | 3. New Mathematical Diversions from Scientific American | 7. Packing Spheres | yes | 2 notes available. More info on May 1960 |
1960 | Jun | Recreations involving folding and cutting sheets of paper | Y | 3. New Mathematical Diversions from Scientific American | 5. Paper Cutting | yes | 2 notes available. More info on Jun 1960 |
1960 | Jul | Incidental information about the extraordinary number pi | Y | 3. New Mathematical Diversions from Scientific American | 8. The Transcendental Number Pi | yes | 2 notes available. More info on Jul 1960 |
1960 | Aug | An imaginary dialogue on "mathemagic": tricks based on mathematical principles | Y | 3. New Mathematical Diversions from Scientific American | 9. Victor Eigen: Mathemagician | yes | 2 notes available. More info on Aug 1960 |
1960 | Sep | The celebrated four-color map problem of topology | Y | 3. New Mathematical Diversions from Scientific American | 10. The Four-Color Map Theorem | yes | 2 notes available. More info on Sep 1960 |
1960 | Oct | A new collection of "brain-teasers" | Y | 3. New Mathematical Diversions from Scientific American | 12. Nine Problems | yes | 2 notes available. More info on Oct 1960 |
1960 | Nov | More about the shapes that can be made with complex dominoes | Y | 3. New Mathematical Diversions from Scientific American | 13. Polyominoes and Fault-Free Rectangles | yes | 2 notes available. More info on Nov 1960 |
1960 | Dec | Some recreations involving the binary number system | Y | 3. New Mathematical Diversions from Scientific American | 1. The Binary System | yes | 2 notes available. More info on Dec 1960 |
1961 | Jan | In which the author chats again with Dr. Matrix, numerologist extraordinary | Y | 4. The Magic Numbers of Dr. Matrix | 2. Los Angeles | yes | 2 notes available. More info on Jan 1961 |
1961 | Feb | Diversions that involve one of the classic conic sections: the ellipse | Y | 3. New Mathematical Diversions from Scientific American | 15. The Ellipse | yes | 2 notes available. More info on Feb 1961 |
1961 | Mar | How to play dominoes in two and three dimensions | Y | 3. New Mathematical Diversions from Scientific American | 16. The 24 Color Squares and the 30 Color Cubes | yes | 2 notes available. More info on Mar 1961 |
1961 | Apr | Concerning the diversions in a new book on geometry [cover] | Y | 3. New Mathematical Diversions from Scientific American | 17. H.S.M. Coxeter | yes | 2 notes available. More info on Apr 1961 |
1961 | May | In which the editor of this department meets the legendary Bertrand Apollinax | Y | 3. New Mathematical Diversions from Scientific American | 11. Mr. Apollinax Visits New York | yes | 2 notes available. More info on May 1961 |
1961 | Jun | A new collection of "brain teasers" | Y | 3. New Mathematical Diversions from Scientific American | 19. Nine More Problems | yes | 2 notes available. More info on Jun 1961 |
1961 | Jul | Some diverting mathematical board games | Y | 3. New Mathematical Diversions from Scientific American | 18. Bridg-it and Other Games | yes | 2 notes available. More info on Jul 1961 |
1961 | Aug | Some entertainments that involve the calculus of finite differences | Y | 3. New Mathematical Diversions from Scientific American | 20. The Calculus of Finite Differences | yes | 2 notes available. More info on Aug 1961 |
1961 | Sep | Surfaces with edges linked in the same way as the three rings of a well-known design | Y | 5. The Unexpected Hanging and Other Mathematical Diversions | 2. Knots and Borromean Rings | yes | 2 notes available. More info on Sep 1961 |
1961 | Oct | Diversions that involve the mathematical constant "e" | Y | 5. The Unexpected Hanging and Other Mathematical Diversions | 3. The Transcendental Number e | yes | 2 notes available. More info on Oct 1961 |
1961 | Nov | Wherein geometrical figures are dissected to make other figures | Y | 5. The Unexpected Hanging and Other Mathematical Diversions | 4. Geometric Dissections | yes | 2 notes available. More info on Nov 1961 |
1961 | Dec | On the theory of probability and the practice of gambling | Y | 5. The Unexpected Hanging and Other Mathematical Diversions | 5. Scarne on Gambling | yes | 2 notes available. More info on Dec 1961 |
1962 | Jan | An adventure in hyperspace at the Church of the Fourth Dimension | Y | 5. The Unexpected Hanging and Other Mathematical Diversions | 6. The Church of the Fourth Dimension | yes | 2 notes available. More info on Jan 1962 |
1962 | Feb | A clutch of diverting problems | Y | 5. The Unexpected Hanging and Other Mathematical Diversions | 7. Eight Problems | yes | 2 notes available. More info on Feb 1962 |
1962 | Mar | How to build a game-learning machine and teach it to play and win | Y | 5. The Unexpected Hanging and Other Mathematical Diversions | 8. A Matchbox Game-Learning Machine | yes | 2 notes available. More info on Mar 1962 |
1962 | Apr | About three types of spirals and how to construct them | Y | 5. The Unexpected Hanging and Other Mathematical Diversions | 9. Spirals | yes | 2 notes available. More info on Apr 1962 |
1962 | May | Symmetry and asymmetry and the strange world of upside-down art | Y | 5. The Unexpected Hanging and Other Mathematical Diversions | 10. Rotations and Reflections | yes | 2 notes available. More info on May 1962 |
1962 | Jun | The game of solitaire and some variations and transformations | Y | 5. The Unexpected Hanging and Other Mathematical Diversions | 11. Peg Solitaire | yes | 2 notes available. More info on Jun 1962 |
1962 | Jul | Fiction about life in two dimensions | Y | 5. The Unexpected Hanging and Other Mathematical Diversions | 12. Flatlands | yes | 2 notes available. More info on Jul 1962 |
1962 | Aug | A variety of diverting tricks collected at a fictitious convention of magicians | Y | 5. The Unexpected Hanging and Other Mathematical Diversions | 13. Chicago Magic Convention | yes | 2 notes available. More info on Aug 1962 |
1962 | Sep | Tests that show whether a large number can be divided by a number from 2 to 12 | Y | 5. The Unexpected Hanging and Other Mathematical Diversions | 14. Tests of Divisibility | yes | 2 notes available. More info on Sep 1962 |
1962 | Oct | A collection of puzzles involving numbers, logic, and probability | Y | 5. The Unexpected Hanging and Other Mathematical Diversions | 15. Nine Problems | yes | 2 notes available. More info on Oct 1962 |
1962 | Nov | Some puzzles based on checkerboards | Y | 5. The Unexpected Hanging and Other Mathematical Diversions | 16. The Eight Queens and Other Chessboard Diversions | yes | 2 notes available. More info on Nov 1962 |
1962 | Dec | Some simple tricks and manipulations from the ancient lore of string play | Y | 5. The Unexpected Hanging and Other Mathematical Diversions | 17. A Loop of String | yes | 2 notes available. More info on Dec 1962 |
1963 | Jan | The author pays his annual visit to Dr. Matrix, the numerologist | Y | 4. The Magic Numbers of Dr. Matrix | 3. Sing Sing | yes | 2 notes available. More info on Jan 1963 |
1963 | Feb | Curves of constant width, one of which makes it possible to drill square holes | Y | 5. The Unexpected Hanging and Other Mathematical Diversions | 18. Curves of Constant Width | yes | 2 notes available. More info on Feb 1963 |
1963 | Mar | A new paradox, and variations on it, about a man condemned to be hanged | Y | 5. The Unexpected Hanging and Other Mathematical Diversions | 1. The Paradox of the Unexpected Hanging | yes | 2 notes available. More info on Mar 1963 |
1963 | Apr | A bit of foolishness for April Fools' Day | Y | 5. The Unexpected Hanging and Other Mathematical Diversions | 20. Thirty-Seven Catch Questions | yes | 2 notes available. More info on Apr 1963 |
1963 | May | On "rep-tiles", polygons that can make larger and smaller copies of themselves | Y | 5. The Unexpected Hanging and Other Mathematical Diversions | 19. Rep-Tiles: Replicating Figures on the Plane | yes | 2 notes available. More info on May 1963 |
1963 | Jun | A discussion of helical structures, from corkscrews to DNA molecules | Y | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 1. The Helix | yes | 2 notes available. More info on Jun 1963 |
1963 | Jul | Topological diversions, including a bottle with no inside or outside | Y | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 2. Klein Bottles and Other Surfaces | yes | 2 notes available. More info on Jul 1963 |
1963 | Aug | Permutations and paradoxes in combinatorial mathematics | Y | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 3. Combinatorial Theory | yes | 2 notes available. More info on Aug 1963 |
1963 | Sep | How to solve puzzles by graphing the rebounds of a bouncing ball | Y | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 4. Bouncing Balls in Polygons and Polyhedrons | yes | 2 notes available. More info on Sep 1963 |
1963 | Oct | About two new and two old mathematical board games | Y | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 5. Four Unusual Board Games | yes | 2 notes available. More info on Oct 1963 |
1963 | Nov | A mixed bag of problems | Y | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 6. The Rigid Square and Eight Other Problems | yes | 2 notes available. More info on Nov 1963 |
1963 | Dec | How to use the odd-even check for tricks and problem-solving | Y | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 8. Parity Checks | yes | 2 notes available. More info on Dec 1963 |
1964 | Jan | Presenting the one and only Dr. Matrix, numerologist, in his annual performance | Y | 4. The Magic Numbers of Dr. Matrix | 5. Chicago | yes | 2 notes available. More info on Jan 1964 |
1964 | Feb | The hypnotic fascination of sliding-block puzzles | Y | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 7. Sliding-Block Puzzles | yes | 2 notes available. More info on Feb 1964 |
1964 | Mar | The remarkable lore of the prime numbers [cover] | Y | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 9. Patterns and Primes | yes | 2 notes available. More info on Mar 1964 |
1964 | Apr | Various problems based on planar graphs, or sets of "vertices" connected by "edges" | Y | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 10. Graph Theory | yes | 2 notes available. More info on Apr 1964 |
1964 | May | The tyranny of 10 overthrown with the ternary number system | Y | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 11. The Ternary System | yes | 2 notes available. More info on May 1964 |
1964 | Jun | A collection of short problems and more talk of prime numbers | Y | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 12. The Trip around the Moon and Seven Other Problems | yes | 2 notes available. More info on Jun 1964 |
1964 | Jul | Curious properties of a cycloid curve | Y | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 13. The Cycloid: Helen of Geometry | yes | 2 notes available. More info on Jul 1964 |
1964 | Aug | Concerning several magic tricks based on mathematical principles | Y | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 14. Mathematical Magic Tricks | yes | 2 notes available. More info on Aug 1964 |
1964 | Sep | Puns, palindromes and other word games that partake of the mathematical spirit | Y | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 15. Word Play | yes | 2 notes available. More info on Sep 1964 |
1964 | Oct | Simple proofs of the Pythagorean theorem, and sundry other matters | Y | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 16. The Pythagorean Theorem | yes | 2 notes available. More info on Oct 1964 |
1964 | Nov | Some paradoxes and puzzles involving infinite series and the concept of limit | Y | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 17. Limits of Infinite Series | yes | 2 notes available. More info on Nov 1964 |
1964 | Dec | On polyiamonds: shapes that are made out of equilateral triangles | Y | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 18. Polyiamonds | yes | 2 notes available. More info on Dec 1964 |
1965 | Jan | Some comments by Dr. Matrix on symmetries and reversals | Y | 4. The Magic Numbers of Dr. Matrix | 6. Miami Beach | yes | 2 notes available. More info on Jan 1965 |
1965 | Feb | Tetrahedrons in nature and architecture, and puzzles involving this simplest polyhedron | Y | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 19. Tetrahedons | yes | 2 notes available. More info on Feb 1965 |
1965 | Mar | A new group of short problems | Y | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 20. Coleridge’s Apples and Eight Other Problems | yes | 2 notes available. More info on Mar 1965 |
1965 | Apr | The infinite regress in philosophy, literature and mathematical proof | Y | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 22. Infinite Regress | yes | 2 notes available. More info on Apr 1965 |
1965 | May | The lattice of integers considered as an orchard or a billiard table | Y | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 21. The Lattice of Integers | yes | 2 notes available. More info on May 1965 |
1965 | Jun | Some diversions and problems from Mr. O'Gara, the postman | Y | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 23. O’Gara, the Mathematical Mailman | yes | 2 notes available. More info on Jun 1965 |
1965 | Jul | On the relation between mathematics and the ordered patterns of Op art [cover] | Y | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 24. Op Art | yes | 2 notes available. More info on Jul 1965 |
1965 | Aug | Thoughts on the task of communication with intelligent organisms on other worlds | Y | 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 25. Extraterrestrial Communications | yes | 2 notes available. More info on Aug 1965 |
1965 | Sep | The "superellipse": a curve that lies between the ellipse and the rectangle | Y | 7. Mathematical Carnival | 18. Piet Hein’s Superellipse | yes | 2 notes available. More info on Sep 1965 |
1965 | Oct | Pentominoes and polyominoes: five games and a sampling of problems | Y | 8. Mathematical Magic Show | 13. Polyominoes and Rectification | yes | 2 notes available. More info on Oct 1965 |
1965 | Nov | A selection of elementary word and number problems | Y | 7. Mathematical Carnival | 9. The Red-Faced Cube and Other Problems | yes | 2 notes available. More info on Nov 1965 |
1965 | Dec | Magic stars, graphs and polyhedrons | Y | 7. Mathematical Carnival | 5. Magic Stars and Polyhedrons | yes | 2 notes available. More info on Dec 1965 |
1966 | Jan | Dr. Matrix returns, now in the guise of a neo-Freudian psychonumeranalyst | Y | 4. The Magic Numbers of Dr. Matrix | 7. Philadelphia | yes | 2 notes available. More info on Jan 1966 |
1966 | Feb | Recreational numismatics, or a purse of coin puzzles | Y | 7. Mathematical Carnival | 2. Penny Puzzles | yes | 2 notes available. More info on Feb 1966 |
1966 | Mar | The hierarchy of infinities and the problems it spawns | Y | 7. Mathematical Carnival | 3. Aleph-Null and Aleph-one | yes | 2 notes available. More info on Mar 1966 |
1966 | Apr | The eerie mathematical art of Maurits C. Escher | Y | 7. Mathematical Carnival | 8. The Art of M. C. Escher | yes | 2 notes available. More info on Apr 1966 |
1966 | May | How to "cook" a puzzle, or mathematical one-uppery | Y | 7. Mathematical Carnival | 17. Cooks and Quibble-Cooks | yes | 2 notes available. More info on May 1966 |
1966 | Jun | The persistence (and futility) of efforts to trisect the angle | Y | 7. Mathematical Carnival | 19. How to Trisect an Angle | yes | 2 notes available. More info on Jun 1966 |
1966 | Jul | Freud's friend Wilhelm Fliess and his theory of male and female life cycles | Y | 7. Mathematical Carnival | 12. The Numerology of Dr. Fliess | yes | 2 notes available. More info on Jul 1966 |
1966 | Aug | Puzzles that can be solved by reasoning based on elementary physical principles | Y | 7. Mathematical Carnival | 14. The Rising Hourglass and Other Physics Puzzles | yes | 2 notes available. More info on Aug 1966 |
1966 | Sep | The problem of Mrs. Perkins' quilt | Y | 7. Mathematical Carnival | 11. Mrs. Perkins’ Quilt and Other Square-Packing Problems | yes | 2 notes available. More info on Sep 1966 |
1966 | Oct | Can the shuffling of cards (and other apparently random events) be reversed? | Y | 7. Mathematical Carnival | 10. Card Shuffles | yes | 2 notes available. More info on Oct 1966 |
1966 | Nov | Is it possible to visualize a four-dimensional figure? | Y | 7. Mathematical Carnival | 4. Hypercubes | yes | 2 notes available. More info on Nov 1966 |
1966 | Dec | The multiple charms of Pascal's triangle | Y | 7. Mathematical Carnival | 15. Pascal’s Triangle | yes | 2 notes available. More info on Dec 1966 |
1967 | Jan | Dr. Matrix delivers a talk on acrostics | Y | 4. The Magic Numbers of Dr. Matrix | 9. Wordsmith College | yes | 3 notes available. More info on Jan 1967 |
1967 | Feb | Mathematical strategies for two-person contests | Y | 7. Mathematical Carnival | 16. Jam, Hot, and Other Games | yes | 3 notes available. More info on Feb 1967 |
1967 | Mar | An array of problems that can be solved with elementary mathematical techniques | Y | 8. Mathematical Magic Show | 15. The Dragon Curve and Other Problems | yes | 2 notes available. More info on Mar 1967 |
1967 | Apr | The amazing feats of professional mental calculators, and some tricks of the trade | Y | 7. Mathematical Carnival | 6. Calculating Prodigies | yes | 2 notes available. More info on Apr 1967 |
1967 | May | Cube-root extraction and the calendar trick, or how to cheat in mathematics | Y | 7. Mathematical Carnival | 7. Tricks of Lightning Calculators | yes | 2 notes available. More info on May 1967 |
1967 | Jun | The polyhex and the polyabolo, polygonal jigsaw puzzle pieces | Y | 8. Mathematical Magic Show | 11. Polyhexes and Polyaboloes | yes | 2 notes available. More info on Jun 1967 |
1967 | Jul | Of sprouts and Brussels sprouts, games with a topological flavor | Y | 7. Mathematical Carnival | 1. Sprouts and Brussels Sprouts | yes | 2 notes available. More info on Jul 1967 |
1967 | Aug | In which a computer prints out mammoth polygonal factorials | Y | 8. Mathematical Magic Show | 4. Factorial Oddities | yes | 2 notes available. More info on Aug 1967 |
1967 | Sep | Double acrostics, stylized Victorian ancestors of today's crossword puzzle | Y | 8. Mathematical Magic Show | 6. Double Acrostics | yes | 2 notes available. More info on Sep 1967 |
1967 | Oct | Problems that are built on the knight's move in chess | Y | 8. Mathematical Magic Show | 14. Knights of the Square Table | yes | 2 notes available. More info on Oct 1967 |
1967 | Nov | A mixed bag of logical and illogical problems to solve | Y | 8. Mathematical Magic Show | 5. The Cocktail Cherry and Other Problems | yes | 2 notes available. More info on Nov 1967 |
1967 | Dec | Game theory is applied (for a change) to games | Y | 8. Mathematical Magic Show | 3. Game Theory, Guess It, Foxholes | yes | 3 notes available. More info on Dec 1967 |
1968 | Jan | The beauties of the square, as expounded by Dr. Matrix to rehabilitate the hippie | Y | 4. The Magic Numbers of Dr. Matrix | 10. Squaresville | yes | 2 notes available. More info on Jan 1968 |
1968 | Feb | Combinatorial problems involving tree graphs and forests of trees | Y | 8. Mathematical Magic Show | 17. Trees | yes | 2 notes available. More info on Feb 1968 |
1968 | Mar | A short treatise on the useless elegance of perfect numbers and amicable pairs | Y | 8. Mathematical Magic Show | 12. Perfect, Amicable, Sociable | yes | 2 notes available. More info on Mar 1968 |
1968 | Apr | Puzzles and tricks with a dollar bill | Y | 9. Mathematical Circus | 20. Dollar Bills | yes | 2 notes available. More info on Apr 1968 |
1968 | May | Circles and spheres, and how they kiss and pack | Y | 9. Mathematical Circus | 3. Spheres and Hyperspheres | yes | 2 notes available. More info on May 1968 |
1968 | Jun | Combinatorial possibilities in a pack of shuffled cards | Y | 8. Mathematical Magic Show | 7. Playing Cards | yes | 2 notes available. More info on Jun 1968 |
1968 | Jul | On the meaning of randomness and some ways of achieving it | Y | 7. Mathematical Carnival | 13. Random Numbers | yes | 2 notes available. More info on Jul 1968 |
1968 | Aug | An array of puzzles and tricks, with a few traps for the unwary | Y | 8. Mathematical Magic Show | 10. Ridiculous Questions | yes | 3 notes available. More info on Aug 1968 |
1968 | Sep | Counting systems and the relationship between numbers and the real world | Y | 8. Mathematical Magic Show | 8. Finger Arithmetic | yes | 2 notes available. More info on Sep 1968 |
1968 | Oct | MacMahon's color triangles and the joys of fitting them together | Y | 8. Mathematical Magic Show | 16. Colored Triangles and Cubes | yes | 2 notes available. More info on Oct 1968 |
1968 | Nov | On the ancient lore of dice and the odds against making a point | Y | 8. Mathematical Magic Show | 18. Dice | yes | 2 notes available. More info on Nov 1968 |
1968 | Dec | The world of the Möbius strip: endless, edgeless and one-sided | Y | 8. Mathematical Magic Show | 9. Möbius Bands | yes | 2 notes available. More info on Dec 1968 |
1969 | Jan | Dr. Matrix gives his explanation of why Mr. Nixon was elected President | Y | 4. The Magic Numbers of Dr. Matrix | 12. Fifth Avenue | yes | 1 note available. More info on Jan 1969 |
1969 | Feb | Boolean algebra, Venn diagrams and the propositional calculus | Y | 9. Mathematical Circus | 8. Boolean Algebra | yes | 2 notes available. More info on Feb 1969 |
1969 | Mar | The multiple fascinations of the Fibonacci sequence | Y | 9. Mathematical Circus | 13. Fibonacci and Lucas Numbers | yes | 2 notes available. More info on Mar 1969 |
1969 | Apr | An octet of problems that emphasize gamesmanship, logic and probability | Y | 9. Mathematical Circus | 15. The Rotating Round Table and Other Problems | yes | 2 notes available. More info on Apr 1969 |
1969 | May | The rambling random walk and its gambling equivalent | Y | 9. Mathematical Circus | 6. Random Walks and Gambling | yes | 2 notes available. More info on May 1969 |
1969 | Jun | Random walks, by semidrunk bugs and others, on the square and on the cube | Y | 9. Mathematical Circus | 7. Random Walks on the Plane and in Space | yes | 2 notes available. More info on Jun 1969 |
1969 | Jul | Tricks, games and puzzles that employ matches as counters and line segments | Y | 9. Mathematical Circus | 2. Matches | yes | 2 notes available. More info on Jul 1969 |
1969 | Aug | Simplicity as a scientific concept: Does nature keep her accounts on a thumbnail? | Y | 9. Mathematical Circus | 14. Simplicity | yes | 2 notes available. More info on Aug 1969 |
1969 | Sep | Geometric constructions with a compass and a straightedge, and also with a compass alone | Y | 9. Mathematical Circus | 17. Mascheroni Constructions | yes | 2 notes available. More info on Sep 1969 |
1969 | Oct | A numeranalysis by Dr. Matrix of the lunar flight of Apollo 11 | Y | 4. The Magic Numbers of Dr. Matrix | 13. The Moon | yes | 1 note available. More info on Oct 1969 |
1969 | Nov | A new pencil-and-paper game based on inductive reasoning [cover] | Y | 9. Mathematical Circus | 4. Patterns of Induction | yes | 2 notes available. More info on Nov 1969 |
1969 | Dec | A handful of combinatorial problems based on dominoes | Y | 9. Mathematical Circus | 12. Dominoes | yes | 2 notes available. More info on Dec 1969 |
1970 | Jan | The abacus: primitive but effective digital computer | Y | 9. Mathematical Circus | 18. The Abacus | yes | 2 notes available. More info on Jan 1970 |
1970 | Feb | Nine new puzzles to solve | Y | 9. Mathematical Circus | 11. Eccentric Chess and Other Problems | yes | 2 notes available. More info on Feb 1970 |
1970 | Mar | Cyclic numbers and their properties | Y | 9. Mathematical Circus | 10. Cyclic Numbers | yes | 2 notes available. More info on Mar 1970 |
1970 | Apr | Some mathematical curiosities embedded in the solar system | Y | 9. Mathematical Circus | 16. Solar System Oddities | yes | 2 notes available. More info on Apr 1970 |
1970 | May | Of optical illusions, from figures that are undecidable to hot dogs that float | Y | 9. Mathematical Circus | 1. Optical Illusions | yes | 2 notes available. More info on May 1970 |
1970 | Jun | Elegant triangle theorems not to be found in Euclid | Y | 9. Mathematical Circus | 5. Elegant Triangles | yes | 2 notes available. More info on Jun 1970 |
1970 | Jul | Diophantine analysis and the problem of Fermat's legendary "last theorem" | Y | 10. Wheels, Life, and Other Mathematical Amusements | 2. Diophantine Analysis and Fermat's Last Theorem | yes | 2 notes available. More info on Jul 1970 |
1970 | Aug | Backward run numbers, letters, words and sentences until boggles the mind | Y | 9. Mathematical Circus | 19. Palindromes: Words and Numbers | yes | 2 notes available. More info on Aug 1970 |
1970 | Sep | On the cyclical curves generated by wheels that roll along wheels | Y | 10. Wheels, Life, and Other Mathematical Amusements | 1. Wheels | yes | 2 notes available. More info on Sep 1970 |
1970 | Oct | The fantastic combinations of John Conway's new solitaire game "life" | Y | 10. Wheels, Life, and Other Mathematical Amusements | 20. The Game of Life, Part I | yes | 2 notes available. More info on Oct 1970 |
1970 | Nov | A new collection of short problems and the answers to some of "life's" | Y | 10. Wheels, Life, and Other Mathematical Amusements | 3. The Knotted Molecule and Other Problems | yes | 3 notes available. More info on Nov 1970 |
1970 | Dec | The paradox of the nontransitive dice and the elusive principle of indifference | Y | 10. Wheels, Life, and Other Mathematical Amusements | 5. Nontransitive Dice and Other Probability Paradoxes | yes | 2 notes available. More info on Dec 1970 |
1971 | Jan | Lessons from Dr. Matrix in chess and numerology | Y | 4. The Magic Numbers of Dr. Matrix | 14. Honolulu | yes | 2 notes available. More info on Jan 1971 |
1971 | Feb | On cellular automata, self-reproduction, the Garden of Eden and the game "life" [cover] | Y | 10. Wheels, Life, and Other Mathematical Amusements | 21. The Game of Life, Part II | yes | 3 notes available. More info on Feb 1971 |
1971 | Mar | The orders of infinity, the topological nature of dimension and "supertasks" | Y | 10. Wheels, Life, and Other Mathematical Amusements | 4. Alephs and Supertasks | yes | 2 notes available. More info on Mar 1971 |
1971 | Apr | Geometric fallacies: hidden errors pave the road to absurd conclusions | Y | 10. Wheels, Life, and Other Mathematical Amusements | 6. Geometric Fallacies | yes | 2 notes available. More info on Apr 1971 |
1971 | May | The combinatorial richness of folding a piece of paper | Y | 10. Wheels, Life, and Other Mathematical Amusements | 7. The Combinatorics of Paper Folding | yes | 2 notes available. More info on May 1971 |
1971 | Jun | The Turing game and the question it presents: Can a computer think? | Y | 9. Mathematical Circus | 9. Can Machines Think? | yes | 2 notes available. More info on Jun 1971 |
1971 | Jul | Quickie problems: not hard, but look out for the curves | Y | 10. Wheels, Life, and Other Mathematical Amusements | 8. A Set of Quickies | yes | 3 notes available. More info on Jul 1971 |
1971 | Aug | Ticktacktoe and its complications | Y | 10. Wheels, Life, and Other Mathematical Amusements | 9. Ticktacktoe Games | yes | 2 notes available. More info on Aug 1971 |
1971 | Sep | The plaiting of Plato's polyhedrons and the asymmetrical yin-yang-lee | Y | 10. Wheels, Life, and Other Mathematical Amusements | 10. Plaiting Polyhedrons | yes | 2 notes available. More info on Sep 1971 |
1971 | Oct | New puzzles from the game of Halma, the noble ancestor of Chinese checkers | Y | 10. Wheels, Life, and Other Mathematical Amusements | 11. The Game of Halma | yes | 2 notes available. More info on Oct 1971 |
1971 | Nov | Advertising premiums to beguile the mind: classics by Sam Loyd, master puzzle-poser | Y | 10. Wheels, Life, and Other Mathematical Amusements | 12. Advertising Premiums | yes | 2 notes available. More info on Nov 1971 |
1971 | Dec | Further encounters with touching cubes, and the paradoxes of Zeno as "supertasks" | Y | 10. Wheels, Life, and Other Mathematical Amusements | 13. Salmon on Austin's Dog | yes | 1 note available. More info on Dec 1971 |
1972 | Jan | How to triumph at nim by playing safe, and John Horton Conway's game "Hackenbush" | Y | 10. Wheels, Life, and Other Mathematical Amusements | 14. Nim and Hackenbush | yes | 2 notes available. More info on Jan 1972 |
1972 | Feb | Dr. Matrix poses some heteroliteral puzzles while peddling perpetual motion in Houston | Y | 4. The Magic Numbers of Dr. Matrix | 15. Houston | yes | 2 notes available. More info on Feb 1972 |
1972 | Mar | The graceful graphs of Solomon Golomb, or how to number a graph parsimoniously | Y | 10. Wheels, Life, and Other Mathematical Amusements | 15. Golomb’s Graceful Graphs | yes | 2 notes available. More info on Mar 1972 |
1972 | Apr | A topological problem with a fresh twist, and eight other new recreational puzzles | Y | 10. Wheels, Life, and Other Mathematical Amusements | 16. Charles Addams’ Skier and other Problems | yes | 2 notes available. More info on Apr 1972 |
1972 | May | Challenging chess tasks for puzzle buffs and answers to the recreational problems | Y | 10. Wheels, Life, and Other Mathematical Amusements | 17. Chess Tasks | yes | 3 notes available. More info on May 1972 |
1972 | Jun | A miscellany of transcendental problems: simple to state but not at all easy to solve | Y | 10. Wheels, Life, and Other Mathematical Amusements | 18. Slither, 3X+1, and Other Curious Questions | yes | 1 note available. More info on Jun 1972 |
1972 | Jul | Amazing mathematical card tricks that do not require prestidigitation | Y | 10. Wheels, Life, and Other Mathematical Amusements | 19. Mathematical Tricks With Cards | yes | 2 notes available. More info on Jul 1972 |
1972 | Aug | The curious properties of the Gray code and how it can be used to solve puzzles | Y | 11. Knotted Doughnuts and Other Mathematical Entertainments | 2. The Binary Gray Code | yes | 2 notes available. More info on Aug 1972 |
1972 | Sep | Pleasurable problems with polycubes | Y | 11. Knotted Doughnuts and Other Mathematical Entertainments | 3. Polycubes | yes | 3 notes available. More info on Sep 1972 |
1972 | Oct | Why the long arm of coincidence is usually not as long as it seems | Y | 11. Knotted Doughnuts and Other Mathematical Entertainments | 1. Coincidence | yes | 2 notes available. More info on Oct 1972 |
1972 | Nov | On the practical uses and bizarre abuses of Sir Francis Bacon's biliteral cipher | Y | 11. Knotted Doughnuts and Other Mathematical Entertainments | 4. Bacon’s Cipher | yes | 2 notes available. More info on Nov 1972 |
1972 | Dec | Knotty problems with a two-hole torus | Y | 11. Knotted Doughnuts and Other Mathematical Entertainments | 5. Doughnuts: Linked and Knotted | yes | 2 notes available. More info on Dec 1972 |
1973 | Jan | Sim, Chomp and Race Track: new games for the intellect (and not for Lady Luck) | Y | 11. Knotted Doughnuts and Other Mathematical Entertainments | 9. Sim, Chomp and Racetrack | yes | 2 notes available. More info on Jan 1973 |
1973 | Feb | Up-and-down elevator games and Piet Hein's mechanical puzzles | Y | 11. Knotted Doughnuts and Other Mathematical Entertainments | 10. Elevators | yes | 2 notes available. More info on Feb 1973 |
1973 | Mar | The calculating rods of John Napier, the eccentric father of the logarithm | Y | 11. Knotted Doughnuts and Other Mathematical Entertainments | 7. Napier's Bones | yes | 2 notes available. More info on Mar 1973 |
1973 | Apr | How to turn a chessboard into a computer and to calculate with negabinary numbers | Y | 11. Knotted Doughnuts and Other Mathematical Entertainments | 8. Napier’s Abacus | yes | 2 notes available. More info on Apr 1973 |
1973 | May | A new miscellany of problems | Y | 11. Knotted Doughnuts and Other Mathematical Entertainments | 6. The Tour of the Arrows and Other Problems | yes | 2 notes available. More info on May 1973 |
1973 | Jun | Plotting the crossing number of graphs | Y | 11. Knotted Doughnuts and Other Mathematical Entertainments | 11. Crossing Numbers | yes | 2 notes available. More info on Jun 1973 |
1973 | Jul | Free will revisited, with a mind-bending prediction paradox by William Newcomb | Y | 11. Knotted Doughnuts and Other Mathematical Entertainments | 13. Newcomb’s Paradox | yes | 3 notes available. More info on Jul 1973 |
1973 | Aug | An astounding self-test of clairvoyance by Dr. Matrix | Y | 4. The Magic Numbers of Dr. Matrix | 16. Clairvoyance Test | yes | 2 notes available. More info on Aug 1973 |
1973 | Sep | Problems on the surface of a sphere offer an entertaining introduction to point sets | Y | 11. Knotted Doughnuts and Other Mathematical Entertainments | 12. Point Sets on the Sphere | yes | 2 notes available. More info on Sep 1973 |
1973 | Oct | "Look-see" diagrams that offer visual proof of complex algebraic formulas | Y | 11. Knotted Doughnuts and Other Mathematical Entertainments | 16. Look-See Proofs | yes | 2 notes available. More info on Oct 1973 |
1973 | Nov | Fantastic patterns traced by programmed "worms" | Y | 11. Knotted Doughnuts and Other Mathematical Entertainments | 17. Worm Paths | yes | 2 notes available. More info on Nov 1973 |
1973 | Dec | On expressing integers as the sum of cubes and other unsolved number-theory problems | Y | 11. Knotted Doughnuts and Other Mathematical Entertainments | 18. Waring’s Problems | yes | 2 notes available. More info on Dec 1973 |
1974 | Jan | The combinatorial basis of the "I Ching," the Chinese book of divination and wisdom [cover] | Y | 11. Knotted Doughnuts and Other Mathematical Entertainments | 20. The I Ching | yes | 2 notes available. More info on Jan 1974 |
1974 | Feb | Cram, crosscram and quadraphage: new games having elusive winning strategies | Y | 11. Knotted Doughnuts and Other Mathematical Entertainments | 19. Cram, Bynum and Quadraphage | yes | 2 notes available. More info on Feb 1974 |
1974 | Mar | Reflections on Newcomb's problem: a prediction and free-will dilemma | Y | 11. Knotted Doughnuts and Other Mathematical Entertainments | 14. Reflections on Newcomb’s Paradox | yes | 3 notes available. More info on Mar 1974 |
1974 | Apr | Nine challenging problems, some rational and some not | Y | 11. Knotted Doughnuts and Other Mathematical Entertainments | 15. Reverse the Fish and Other Problems | yes | 2 notes available. More info on Apr 1974 |
1974 | May | On the contradictions of time travel | Y | 12. Time Travel and Other Mathematical Bewilderments | 1. Time Travel | yes | 2 notes available. More info on May 1974 |
1974 | Jun | Dr. Matrix brings his numerological Science to bear on the occult powers of the pyramid | Y | 4. The Magic Numbers of Dr. Matrix | 17. Pyramid Lake | yes | 2 notes available. More info on Jun 1974 |
1974 | Jul | On the patterns and the unusual properties of figurate numbers | Y | 12. Time Travel and Other Mathematical Bewilderments | 2. Hexes and Stars | yes | 2 notes available. More info on Jul 1974 |
1974 | Aug | On the fanciful history and the creative challenges of the puzzle game of tangrams | Y | 12. Time Travel and Other Mathematical Bewilderments | 3. Tangrams, Part 1 | yes | 2 notes available. More info on Aug 1974 |
1974 | Sep | More on tangrams: Combinatorial problems and the game possibilities of snug tangrams | Y | 12. Time Travel and Other Mathematical Bewilderments | 4. Tangrams, Part 2 | yes | 2 notes available. More info on Sep 1974 |
1974 | Oct | On the paradoxical situations that arise from nontransitive relations | Y | 12. Time Travel and Other Mathematical Bewilderments | 5. Nontransitive Paradoxes | yes | 2 notes available. More info on Oct 1974 |
1974 | Nov | Some new and dramatic demonstrations of number theorems with playing cards | Y | 12. Time Travel and Other Mathematical Bewilderments | 6. Combinatorial Card Problems | yes | 2 notes available. More info on Nov 1974 |
1974 | Dec | The arts as combinatorial mathematics, or how to compose like Mozart with dice | Y | 12. Time Travel and Other Mathematical Bewilderments | 7. Melody-Making Machines | yes | 2 notes available. More info on Dec 1974 |
1975 | Jan | The curious magic of anamorphic art [cover] | Y | 12. Time Travel and Other Mathematical Bewilderments | 8. Anamorphic Art | yes | 2 notes available. More info on Jan 1975 |
1975 | Feb | How the absence of anything leads to thoughts of nothing | Y | 8. Mathematical Magic Show | 1. Nothing | yes | 2 notes available. More info on Feb 1975 |
1975 | Mar | From rubber ropes to rolling cubes, a miscellany of refreshing problems | Y | 12. Time Travel and Other Mathematical Bewilderments | 9. The Rubber Rope and Other Problems | yes | 2 notes available. More info on Mar 1975 |
1975 | Apr | Six sensational discoveries that somehow or another have escaped public attention | Y | 12. Time Travel and Other Mathematical Bewilderments | 10. Six Sensational Discoveries | yes | 2 notes available. More info on Apr 1975 |
1975 | May | On the remarkable Császár polyhedron and its applications in problem solving | Y | 12. Time Travel and Other Mathematical Bewilderments | 11. The Császár Polyhedron | yes | 2 notes available. More info on May 1975 |
1975 | Jun | Games of strategy for two players: star nim, meander, dodgem and rex | Y | 12. Time Travel and Other Mathematical Bewilderments | 12. Dodgem and Other Simple Games | yes | 2 notes available. More info on Jun 1975 |
1975 | Jul | On tessellating the plane with convex polygon tiles | Y | 12. Time Travel and Other Mathematical Bewilderments | 13. Tiling with Convex Polygons | yes | 2 notes available. More info on Jul 1975 |
1975 | Aug | More about tiling the plane: the possibilities of polyominoes, polyiamonds, and polyhexes | Y | 12. Time Travel and Other Mathematical Bewilderments | 14. Tiling with Polyominoes, Polyiamonds, and Polyhexes | yes | 2 notes available. More info on Aug 1975 |
1975 | Sep | Dr. Matrix finds numerological wonders in the King James Bible | Y | 4. The Magic Numbers of Dr. Matrix | 18. The King James Bible | yes | 1 note available. More info on Sep 1975 |
1975 | Nov | On map projections (with special reference to some inspired ones) [cover] | Y | 12. Time Travel and Other Mathematical Bewilderments | 15. Curious Maps | yes | 2 notes available. More info on Nov 1975 |
1975 | Dec | A random assortment of puzzles, together with reader responses to earlier problems | Y | 12. Time Travel and Other Mathematical Bewilderments | 16. The Sixth Symbol and Other Problems | yes | 2 notes available. More info on Dec 1975 |
1976 | Jan | A breakthrough in magic squares, and the first perfect magic cube | Y | 12. Time Travel and Other Mathematical Bewilderments | 17. Magic Squares and Cubes | yes | 2 notes available. More info on Jan 1976 |
1976 | Feb | Some elegant brick-packing problems, and a new order-7 perfect magic cube | Y | 12. Time Travel and Other Mathematical Bewilderments | 18. Block Packing | yes | 2 notes available. More info on Feb 1976 |
1976 | Mar | On the fabric of inductive logic, and some probability paradoxes | Y | 12. Time Travel and Other Mathematical Bewilderments | 19. Induction and Probability | yes | 2 notes available. More info on Mar 1976 |
1976 | Apr | Snarks, Boojums and other conjectures related to the four-color-map theorem | Y | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 23. Trivalent Graphs, Snarks, and Boojums | yes | 2 notes available. More info on Apr 1976 |
1976 | May | A few words about everything there was, is and ever will be | Y | 8. Mathematical Magic Show | 19. Everything | yes | 2 notes available. More info on May 1976 |
1976 | Jun | Catalan numbers: an integer sequence that materializes in unexpected places | Y | 12. Time Travel and Other Mathematical Bewilderments | 20. Catalan Numbers | yes | 2 notes available. More info on Jun 1976 |
1976 | Jul | Fun and serious business with the small electronic calculator | Y | 12. Time Travel and Other Mathematical Bewilderments | 21. Fun with a Pocket Calculator | yes | 2 notes available. More info on Jul 1976 |
1976 | Aug | The symmetrical arrangement of the stars on the American flag and related matters | Y | 12. Time Travel and Other Mathematical Bewilderments | 22. Tree-Plant Problems | yes | 2 notes available. More info on Aug 1976 |
1976 | Sep | John Horton Conway's book covers an infinity of games | Y | 13. Penrose Tiles to Trapdoor Ciphers | 4. Conway's Surreal Numbers | yes | 2 notes available. More info on Sep 1976 |
1976 | Oct | Combinatorial problems, some old, some new and all newly attacked by computer | Y | 13. Penrose Tiles to Trapdoor Ciphers | 5. Back from the Klondike and Other Problems | yes | 1 note available. More info on Oct 1976 |
1976 | Nov | In which DM (Dr. Matrix) is revealed as the guru of PM (Pentagonal Meditation) | Y | 4. The Magic Numbers of Dr. Matrix | 19. Calcutta | yes | 2 notes available. More info on Nov 1976 |
1976 | Dec | In which "monster" curves force redefinition of the word "curve" | Y | 13. Penrose Tiles to Trapdoor Ciphers | 3. Mandelbrot’s Fractals | yes | 2 notes available. More info on Dec 1976 |
1977 | Jan | Extraordinary nonperiodic tiling that enriches the theory of tiles [cover] | Y | 13. Penrose Tiles to Trapdoor Ciphers | 1. Penrose Tiling | yes | 2 notes available. More info on Jan 1977 |
1977 | Feb | The flip-strip sonnet, the lipogram and other mad modes of wordplay | Y | 13. Penrose Tiles to Trapdoor Ciphers | 6. The Oulipo | yes | 4 notes available. More info on Feb 1977 |
1977 | Mar | Cornering a queen leads unexpectedly into corners of the theory of numbers | Y | 13. Penrose Tiles to Trapdoor Ciphers | 8. Wythoff's Nim | yes | 1 note available. More info on Mar 1977 |
1977 | Apr | The pool-table triangle, a limerick paradox and divers other challenges | Y | 13. Penrose Tiles to Trapdoor Ciphers | 9. Pool-Ball Triangles and Other Problems | yes | 2 notes available. More info on Apr 1977 |
1977 | May | The "jump proof" and its similarity to the toppling of a row of dominoes | Y | 13. Penrose Tiles to Trapdoor Ciphers | 10. Mathematical Induction and Colored Hats | yes | 1 note available. More info on May 1977 |
1977 | Jun | The concept of negative numbers and the difficulty of grasping it | Y | 13. Penrose Tiles to Trapdoor Ciphers | 11. Negative Numbers | yes | 2 notes available. More info on Jun 1977 |
1977 | Jul | Cutting things into equal parts leads into significant areas of mathematics | Y | 13. Penrose Tiles to Trapdoor Ciphers | 12. Cutting Shapes into N Congruent Parts | yes | 2 notes available. More info on Jul 1977 |
1977 | Aug | A new kind of cipher that would take millions of years to break | Y | 13. Penrose Tiles to Trapdoor Ciphers | 13. Trapdoor Ciphers | yes | 2 notes available. More info on Aug 1977 |
1977 | Sep | On conic sections, ruled surfaces and other manifestations of the hyperbola | Y | 13. Penrose Tiles to Trapdoor Ciphers | 15. Hyperbolas | yes | 2 notes available. More info on Sep 1977 |
1977 | Oct | On playing New Eleusis, the game that simulates the search for truth | Y | 13. Penrose Tiles to Trapdoor Ciphers | 16. The New Eleusis | yes | 2 notes available. More info on Oct 1977 |
1977 | Nov | In which joining sets of points by lines leads into diverse (and diverting) paths | Y | 13. Penrose Tiles to Trapdoor Ciphers | 17. Ramsey Theory | yes | 2 notes available. More info on Nov 1977 |
1977 | Dec | Dr. Matrix goes to California to apply punk to rock study | Y | 4. The Magic Numbers of Dr. Matrix | 20. Stanford | yes | 2 notes available. More info on Dec 1977 |
1978 | Jan | The sculpture of Miguel Berrocal can be taken apart like an interlocking mechanical puzzle | Y | 13. Penrose Tiles to Trapdoor Ciphers | 18. From Burrs to Berrocal | yes | 2 notes available. More info on Jan 1978 |
1978 | Feb | On checker jumping, the Amazon game, weird dice, card tricks and other playful pastimes | Y | 13. Penrose Tiles to Trapdoor Ciphers | 19. Sicherman Dice, the Kruskal Count and Other Curiosities | yes | 3 notes available. More info on Feb 1978 |
1978 | Mar | Count Dracula, Alice, Portia and many others consider various twists of logic | Y | 13. Penrose Tiles to Trapdoor Ciphers | 20. Ramond Smullyan's Logic Puzzles | yes | 2 notes available. More info on Mar 1978 |
1978 | Apr | White and brown music, fractal curves and one-over-f fluctuations [cover] | Y | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 1. White, Brown, and Fractal Music | yes | 2 notes available. More info on Apr 1978 |
1978 | May | The Bells: versatile numbers that can count partitions of a set, primes and even rhymes | Y | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 2. The Tinkly Temple Bells | yes | 2 notes available. More info on May 1978 |
1978 | Jun | A mathematical zoo of astounding critters, imaginary and otherwise | Y | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 3. The Mathematical Zoo | yes | 2 notes available. More info on Jun 1978 |
1978 | Jul | On Charles Sanders Peirce: philosopher and gamesman | Y | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 4. Charles Sanders Peirce | yes | 2 notes available. More info on Jul 1978 |
1978 | Aug | A Möbius band has a finite thickness, and so it is actually a twisted prism | Y | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 5. Twisted Prismatic Rings | yes | 2 notes available. More info on Aug 1978 |
1978 | Sep | Puzzling over a problem-solving matrix, cubes of many colors and three-dimensional dominoes | Y | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 6. The Thirty Color Cubes | yes | 2 notes available. More info on Sep 1978 |
1978 | Oct | Puzzles and number-theory problems arising from the curious fractions of ancient Egypt | Y | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 7. Egyptian Fractions | yes | 2 notes available. More info on Oct 1978 |
1978 | Nov | In which a mathematical aesthetic is applied to modern minimal art | Y | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 8. Minimal Sculpture | yes | 2 notes available. More info on Nov 1978 |
1978 | Dec | Is it a superintelligent robot or does Dr. Matrix ride again? | Y | 4. The Magic Numbers of Dr. Matrix | 21. Chautauqua | yes | 2 notes available. More info on Dec 1978 |
1979 | Jan | The diverse pleasures of circles that are tangent to one another | Y | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 10. Tangent Circles | yes | 2 notes available. More info on Jan 1979 |
1979 | Feb | About rectangling rectangles, parodying Poe and many another pleasing problem | Y | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 11. The Rotating Table and Other Problems | yes | 2 notes available. More info on Feb 1979 |
1979 | Mar | On altering the past, delaying the future and other ways of tampering with time | Y | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 12. Does Time Ever Stop? Can the Past Be Altered? | yes | 2 notes available. More info on Mar 1979 |
1979 | Apr | In which players of ticktacktoe are taught to hunt bigger game | Y | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 13. Generalized Ticktacktoe | yes | 2 notes available. More info on Apr 1979 |
1979 | May | How to be a psychic, even if you are a horse or some other animal | Y | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 14. Psychic Wonders and Probability | yes | 2 notes available. More info on May 1979 |
1979 | Jun | Chess problems on a higher plane, including mirror images, rotations and the superqueen | Y | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 15. Mathematical Chess Problems | yes | 2 notes available. More info on Jun 1979 |
1979 | Jul | Douglas R. Hofstadter's "Gödel, Escher, Bach" | Y | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 16. Douglas Hofstadter's Gödel, Escher, Bach | yes | 2 notes available. More info on Jul 1979 |
1979 | Aug | The imaginableness of the imaginary numbers | Y | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 17. Imaginary Numbers | yes | 2 notes available. More info on Aug 1979 |
1979 | Sep | In some patterns of numbers or words there may be less than meets the eye | Y | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 18. Pi and Poetry: Some Accidental Patterns | yes | 2 notes available. More info on Sep 1979 |
1979 | Oct | Some packing problems that cannot be solved by sitting on the suitcase | Y | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 20. Packing Squares | yes | 2 notes available. More info on Oct 1979 |
1979 | Nov | The random number omega bids fair to hold the mysteries of the universe | Y | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 21. Chaitin's Omega | yes | 2 notes available. More info on Nov 1979 |
1979 | Dec | A pride of problems, including one that is virtually impossible | Y | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 21. A Toroidal Paradox and Other Problems | yes | 1 note available. More info on Dec 1979 |
1980 | Jan | Checkers, a game that can be more interesting than one might think | Y | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 13. Checker Recreations, Part I | yes | 2 notes available. More info on Jan 1980 |
1980 | Feb | The coloring of unusual maps leads into uncharted territory | Y | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 6. M-Pire Maps | yes | 2 notes available. More info on Feb 1980 |
1980 | Mar | Graphs that can help cannibals, missionaries, wolves, goats and cabbages get there from here | Y | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 7. Directed Graphs and Cannibals | yes | 2 notes available. More info on Mar 1980 |
1980 | Apr | Fun with eggs: uncooked, cooked and mathematical | Y | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 3. Fun with Eggs, Part I | yes | 2 notes available. More info on Apr 1980 |
1980 | May | What unifies dinner guests, strolling schoolgirls and handcuffed prisoners? | Y | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 8. Dinner Guests, Schoolgirls, and Handcuffed Prisoners | yes | 2 notes available. More info on May 1980 |
1980 | Jun | The capture of the monster: a mathematical group with a ridiculous number of elements | Y | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 9. The Monster and Other Sporadic Groups | yes | 2 notes available. More info on Jun 1980 |
1980 | Jul | The pleasures of doing Science and technology in the planiverse | Y | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 1. The Wonders of a Planiverse | yes | 2 notes available. More info on Jul 1980 |
1980 | Aug | On the fine art of putting players, pills and points into their proper pigeonholes | Y | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 11. The Power of the Pigeonhole | yes | 2 notes available. More info on Aug 1980 |
1980 | Sep | Dr. Matrix, like Mr. Holmes, comes to an untimely and mysterious end | Y | 4. The Magic Numbers of Dr. Matrix | 22. Istanbul | yes | 2 notes available. More info on Sep 1980 |
1980 | Oct | From counting votes to making votes count: the mathematics of elections | Y | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 20. Voting Mathematics | yes | 2 notes available. More info on Oct 1980 |
1980 | Nov | Taxicab geometry offers a free ride to a non-Euclidean locale | Y | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 10. Taxicab Geometry | yes | 2 notes available. More info on Nov 1980 |
1980 | Dec | Patterns in primes are a clue to the strong law of small numbers | Y | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 12. Strong Laws of Small Primes | yes | 2 notes available. More info on Dec 1980 |
1981 | Feb | Gauss's congruence theory was mod as early as 1801 | Y | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 15. Modulo Arithmetic and Hummer’s Wicked Witch | yes | 2 notes available. More info on Feb 1981 |
1981 | Apr | How Lavinia finds a room on University Avenue, and other geometric problems | Y | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 16. Lavinia Seeks a Room and Other Problems | yes | 2 notes available. More info on Apr 1981 |
1981 | Jun | The inspired geometrical symmetries of Scott Kim | Y | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 17. The Symmetry Creations of Scott Kim | yes | 2 notes available. More info on Jun 1981 |
1981 | Aug | The abstract parabola fits the concrete world | Y | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 18. Parabolas | yes | 2 notes available. More info on Aug 1981 |
1981 | Oct | Euclid's parallel postulate and its modern offspring | Y | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 19. Non-Euclidean Geometry | yes | 2 notes available. More info on Oct 1981 |
1981 | Dec | The Laffer curve and other laughs in current economics | Y | 11. Knotted Doughnuts and Other Mathematical Entertainments | 21. The Laffer Curve | yes | 3 notes available. More info on Dec 1981 |
1983 | Aug | Tasks you cannot help finishing no matter how hard you try to block finishing them | Y | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 2. Bulgarian Solitaire and Other Seemingly Endless Tasks | yes | 1 note available. More info on Aug 1983 |
1983 | Sep | The topology of knots | Y | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 5. The Topology of Knots | yes | 2 notes available. More info on Sep 1983 |
1986 | Jun | Casting a net on a checkerboard and other puzzles of the forest | Y | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 22. Minimal Steiner Trees | yes | 2 notes available. More info on Jun 1986 |
No corresponding article | N | 13. Penrose Tiles to Trapdoor Ciphers | 2. Penrose Tiling II | yes | 3 notes available. More info on unknown-06 | ||
No corresponding article | N | 13. Penrose Tiles to Trapdoor Ciphers | 7. The Oulipo II | yes | 3 notes available. More info on unknown-09 | ||
No corresponding article | N | 13. Penrose Tiles to Trapdoor Ciphers | 14. Trapdoor Ciphers II | yes | 2 notes available. More info on unknown-12 | ||
No corresponding article | N | 13. Penrose Tiles to Trapdoor Ciphers | 21. The Return of Dr. Matrix | yes | 3 notes available. More info on unknown-13 | ||
No corresponding article | N | 4. The Magic Numbers of Dr. Matrix | 4. Lincoln and Kennedy | yes | 3 notes available. More info on unknown-16 | ||
No corresponding article | N | 4. The Magic Numbers of Dr. Matrix | 8. Pi | yes | 3 notes available. More info on unknown-17 | ||
No corresponding article | N | 4. The Magic Numbers of Dr. Matrix | 11. Left Versus Right | yes | 4 notes available. More info on unknown-19 | ||
No corresponding article | N | 10. Wheels, Life, and Other Mathematical Amusements | 22. The Game of Life, Part III | yes | 1 note available. More info on unknown-20 | ||
No corresponding article | N | 8. Mathematical Magic Show | 2. More Ado About Nothing | yes | 2 notes available. More info on unknown-22 | ||
No corresponding article | N | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 9. Minimal Sculpture II | yes | 2 notes available. More info on unknown-25 | ||
No corresponding article | N | 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 19. More on Poetry | yes | 2 notes available. More info on unknown-26 | ||
No corresponding article | N | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 4. Fun with Eggs, Part II | yes | 2 notes available. More info on unknown-27 | ||
No corresponding article | N | 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 14. Checker Recreations, Part II | yes | 2 notes available. More info on unknown-28 |