Martin Gardner column to book mapping project — development archive

Peter Rowlett, Last update November 2023.

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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.

Update: October 2023

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.

Mathematical Games

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.

What do I want?

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.

What have I done so far?

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.

What do I need?

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:

  1. If you are comfortable with technology, please submit an edit through GitHub (instructions are given).
  2. If you prefer, you could fill in this online form telling me what you know about an article.
  3. If all else fails, please email p.rowlett@shu.ac.uk telling me who you are, which article you are writing about, what you know and how you know it.

Complications

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.

Data currently held

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.

Unconfirmed

YearMonthArticle titleMathematical Games column?BookChapterConfirmed?More info
1952MarLogic MachinesN. . no1 note available. More info on Mar 1952
1975OctConcerning an effort to demonstrate extrasensory perception by machineY. . no2 notes available. More info on Oct 1975
1998AugA Quarter-Century of Recreational MathematicsN. . no1 note available. More info on Aug 1998
2007AprIs Beauty Truth and Truth Beauty? [book review]N. . no1 note available. More info on Apr 2007
2967JanCan Time go Backward?N. . no1 note available. More info on Jan 2967

Confirmed

YearMonthArticle titleMathematical Games column?BookChapterConfirmed?More info
1956DecFlexagonsN1. Mathematical Puzzles and Diversions1. Hexaflexagonsyes3 notes available. More info on Dec 1956
1957JanA new kind of magic square with remarkable propertiesY1. Mathematical Puzzles and Diversions2. Magic with a Matrix yes2 notes available. More info on Jan 1957
1957FebAn assortment of maddening puzzlesY1. Mathematical Puzzles and Diversions3. Nine Problemsyes2 notes available. More info on Feb 1957
1957MarSome old and new versions of ticktacktoeY1. Mathematical Puzzles and Diversions4. Ticktactoe, or Noughts and Crossesyes2 notes available. More info on Mar 1957
1957AprParadoxes dealing with birthdays, playing cards, coins, crows and red-haired typistsY1. Mathematical Puzzles and Diversions5. Probability Paradoxesyes2 notes available. More info on Apr 1957
1957MayAbout the remarkable similarity between the Icosian Game and the Tower of HanoiY1. Mathematical Puzzles and Diversions6. The Icosian Game and the Tower of Hanoiyes2 notes available. More info on May 1957
1957JunCurious figures descended from the Moebius band, which has only one side and one edgeY1. Mathematical Puzzles and Diversions7. Curious Topological Modelsyes2 notes available. More info on Jun 1957
1957JulConcerning the game of Hex, which may be played on the tiles of the bathroom floorY1. Mathematical Puzzles and Diversions8. The Game of Hexyes2 notes available. More info on Jul 1957
1957AugThe life and work of Sam Loyd, a mighty inventor of puzzlesY1. Mathematical Puzzles and Diversions9. Sam Loyd: America’s Greatest Puzzlistyes2 notes available. More info on Aug 1957
1957SepConcerning various card tricks with a mathematical messageY1. Mathematical Puzzles and Diversions10. Mathematical Card Tricksyes2 notes available. More info on Sep 1957
1957OctHow to remember numbers by mnemonic devices such as cuff links and red zebrasY1. Mathematical Puzzles and Diversions11. Memorizing Numbersyes2 notes available. More info on Oct 1957
1957NovNine titillating puzzlesY1. Mathematical Puzzles and Diversions12. Nine More Problemsyes2 notes available. More info on Nov 1957
1957DecMore about complex dominoesY1. Mathematical Puzzles and Diversions13. Polyominoesyes2 notes available. More info on Dec 1957
1958JanA collection of tantalizing fallacies of mathematicsY1. Mathematical Puzzles and Diversions14. Fallaciesyes2 notes available. More info on Jan 1958
1958FebConcerning the game of Nim and its mathematical analysisY1. Mathematical Puzzles and Diversions15. Nim and Tic Taxyes2 notes available. More info on Feb 1958
1958MarAbout left- and right-handedness, mirror images and kindred mattersY1. Mathematical Puzzles and Diversions16. Left or Right?yes2 notes available. More info on Mar 1958
1958AprConcerning the celebrated puzzle of five sailors, a monkey and a pile of coconutsY2. More Mathematical Puzzles and Diversions9. The Monkey and the Coconutsyes2 notes available. More info on Apr 1958
1958MayAbout tetraflexagons and tetraflexagationY2. More Mathematical Puzzles and Diversions2. Tetraflexagonsyes2 notes available. More info on May 1958
1958JunAbout Henry Ernest Dudeney, a brilliant creator of puzzlesY2. More Mathematical Puzzles and Diversions3. Henry Ernest Dudeney:: England’s Greatest Puzzlistyes2 notes available. More info on Jun 1958
1958JulSome diverting tricks which involve the concept of numerical congruenceY2. More Mathematical Puzzles and Diversions4. Digital Rootsyes2 notes available. More info on Jul 1958
1958AugA third collection of "brain-teasers"Y2. More Mathematical Puzzles and Diversions5. Nine Problemsyes2 notes available. More info on Aug 1958
1958SepA game in which standard pieces composed of cubes are assembled into larger formsY2. More Mathematical Puzzles and Diversions6. The Soma Cubeyes2 notes available. More info on Sep 1958
1958OctFour mathematical diversions involving concepts of topologyY2. More Mathematical Puzzles and Diversions7. Recreational Topologyyes2 notes available. More info on Oct 1958
1958NovHow rectangles, including squares, can be divided into squares of unequal size [cover]Y2. More Mathematical Puzzles and Diversions17. Squaring the Squareyes2 notes available. More info on Nov 1958
1958DecDiversions which involve the five Platonic solidsY2. More Mathematical Puzzles and Diversions1. The Five Platonic Solidsyes2 notes available. More info on Dec 1958
1959JanAbout mazes and how they can be traversedY2. More Mathematical Puzzles and Diversions10. Mazesyes2 notes available. More info on Jan 1959
1959Feb"Brain-teasers" that involve formal logicY2. More Mathematical Puzzles and Diversions11. Recreational Logicyes2 notes available. More info on Feb 1959
1959MarConcerning the properties of various magic squaresY2. More Mathematical Puzzles and Diversions12. Magic Squaresyes2 notes available. More info on Mar 1959
1959AprThe mathematical diversions of a fictitious carnival manY2. More Mathematical Puzzles and Diversions13. James Hugh Riley Shows, Inc.yes2 notes available. More info on Apr 1959
1959MayAnother collection of "brain-teasers"Y2. More Mathematical Puzzles and Diversions14. Nine More Problemsyes2 notes available. More info on May 1959
1959JunAn inductive card gameY2. More Mathematical Puzzles and Diversions15. Eleusis: The Induction Gameyes2 notes available. More info on Jun 1959
1959JulAbout Origami, the Japanese art of folding objects out of paperY2. More Mathematical Puzzles and Diversions16. Origamiyes2 notes available. More info on Jul 1959
1959AugAbout phi, an irrational number that has some remarkable geometrical expressionsY2. More Mathematical Puzzles and Diversions8. Phi: The Golden Ratioyes2 notes available. More info on Aug 1959
1959SepConcerning mechanical puzzles, and how an enthusiast has collected 2,000 of themY2. More Mathematical Puzzles and Diversions18. Mechanical Puzzlesyes2 notes available. More info on Sep 1959
1959OctProblems involving questions of probability and ambiguityY2. More Mathematical Puzzles and Diversions19. Probability and Ambiguityyes2 notes available. More info on Oct 1959
1959NovHow three modern mathematicians disproved a celebrated conjecture of Leonhard Euler [cover]Y3. New Mathematical Diversions from Scientific American14. Euler’s Spoilers: The Discovery of an Order-10 Graeco-Latin Squareyes2 notes available. More info on Nov 1959
1959DecDiversions that clarify group theory, particularly by the weaving of braidsY3. New Mathematical Diversions from Scientific American2. Group Theory and Braidsyes2 notes available. More info on Dec 1959
1960JanA fanciful dialogue about the wonders of numerologyY4. The Magic Numbers of Dr. Matrix1. New Yorkyes2 notes available. More info on Jan 1960
1960FebA fifth collection of "brain-teasers"Y3. New Mathematical Diversions from Scientific American3. Eight Problemsyes2 notes available. More info on Feb 1960
1960MarThe games and puzzles of Lewis CarrollY3. New Mathematical Diversions from Scientific American4. The Games and Puzzles of Lewis Carrollyes2 notes available. More info on Mar 1960
1960AprAbout mathematical games that are played on boardsY3. New Mathematical Diversions from Scientific American6. Board Gamesyes2 notes available. More info on Apr 1960
1960MayReflections on the packing of spheresY3. New Mathematical Diversions from Scientific American7. Packing Spheresyes2 notes available. More info on May 1960
1960JunRecreations involving folding and cutting sheets of paperY3. New Mathematical Diversions from Scientific American5. Paper Cuttingyes2 notes available. More info on Jun 1960
1960JulIncidental information about the extraordinary number piY3. New Mathematical Diversions from Scientific American8. The Transcendental Number Piyes2 notes available. More info on Jul 1960
1960AugAn imaginary dialogue on "mathemagic": tricks based on mathematical principlesY3. New Mathematical Diversions from Scientific American9. Victor Eigen: Mathemagicianyes2 notes available. More info on Aug 1960
1960SepThe celebrated four-color map problem of topologyY3. New Mathematical Diversions from Scientific American10. The Four-Color Map Theoremyes2 notes available. More info on Sep 1960
1960OctA new collection of "brain-teasers"Y3. New Mathematical Diversions from Scientific American12. Nine Problemsyes2 notes available. More info on Oct 1960
1960NovMore about the shapes that can be made with complex dominoesY3. New Mathematical Diversions from Scientific American13. Polyominoes and Fault-Free Rectanglesyes2 notes available. More info on Nov 1960
1960DecSome recreations involving the binary number systemY3. New Mathematical Diversions from Scientific American1. The Binary Systemyes2 notes available. More info on Dec 1960
1961JanIn which the author chats again with Dr. Matrix, numerologist extraordinaryY4. The Magic Numbers of Dr. Matrix2. Los Angelesyes2 notes available. More info on Jan 1961
1961FebDiversions that involve one of the classic conic sections: the ellipseY3. New Mathematical Diversions from Scientific American15. The Ellipseyes2 notes available. More info on Feb 1961
1961MarHow to play dominoes in two and three dimensionsY3. New Mathematical Diversions from Scientific American16. The 24 Color Squares and the 30 Color Cubesyes2 notes available. More info on Mar 1961
1961AprConcerning the diversions in a new book on geometry [cover]Y3. New Mathematical Diversions from Scientific American17. H.S.M. Coxeteryes2 notes available. More info on Apr 1961
1961MayIn which the editor of this department meets the legendary Bertrand ApollinaxY3. New Mathematical Diversions from Scientific American11. Mr. Apollinax Visits New Yorkyes2 notes available. More info on May 1961
1961JunA new collection of "brain teasers"Y3. New Mathematical Diversions from Scientific American19. Nine More Problemsyes2 notes available. More info on Jun 1961
1961JulSome diverting mathematical board gamesY3. New Mathematical Diversions from Scientific American18. Bridg-it and Other Gamesyes2 notes available. More info on Jul 1961
1961AugSome entertainments that involve the calculus of finite differencesY3. New Mathematical Diversions from Scientific American20. The Calculus of Finite Differencesyes2 notes available. More info on Aug 1961
1961SepSurfaces with edges linked in the same way as the three rings of a well-known designY5. The Unexpected Hanging and Other Mathematical Diversions 2. Knots and Borromean Ringsyes2 notes available. More info on Sep 1961
1961OctDiversions that involve the mathematical constant "e"Y5. The Unexpected Hanging and Other Mathematical Diversions 3. The Transcendental Number eyes2 notes available. More info on Oct 1961
1961NovWherein geometrical figures are dissected to make other figuresY5. The Unexpected Hanging and Other Mathematical Diversions 4. Geometric Dissectionsyes2 notes available. More info on Nov 1961
1961DecOn the theory of probability and the practice of gamblingY5. The Unexpected Hanging and Other Mathematical Diversions 5. Scarne on Gamblingyes2 notes available. More info on Dec 1961
1962JanAn adventure in hyperspace at the Church of the Fourth DimensionY5. The Unexpected Hanging and Other Mathematical Diversions 6. The Church of the Fourth Dimensionyes2 notes available. More info on Jan 1962
1962FebA clutch of diverting problemsY5. The Unexpected Hanging and Other Mathematical Diversions 7. Eight Problemsyes2 notes available. More info on Feb 1962
1962MarHow to build a game-learning machine and teach it to play and winY5. The Unexpected Hanging and Other Mathematical Diversions 8. A Matchbox Game-Learning Machineyes2 notes available. More info on Mar 1962
1962AprAbout three types of spirals and how to construct themY5. The Unexpected Hanging and Other Mathematical Diversions 9. Spiralsyes2 notes available. More info on Apr 1962
1962MaySymmetry and asymmetry and the strange world of upside-down artY5. The Unexpected Hanging and Other Mathematical Diversions 10. Rotations and Reflectionsyes2 notes available. More info on May 1962
1962JunThe game of solitaire and some variations and transformationsY5. The Unexpected Hanging and Other Mathematical Diversions 11. Peg Solitaireyes2 notes available. More info on Jun 1962
1962JulFiction about life in two dimensionsY5. The Unexpected Hanging and Other Mathematical Diversions 12. Flatlandsyes2 notes available. More info on Jul 1962
1962AugA variety of diverting tricks collected at a fictitious convention of magiciansY5. The Unexpected Hanging and Other Mathematical Diversions 13. Chicago Magic Conventionyes2 notes available. More info on Aug 1962
1962SepTests that show whether a large number can be divided by a number from 2 to 12Y5. The Unexpected Hanging and Other Mathematical Diversions 14. Tests of Divisibilityyes2 notes available. More info on Sep 1962
1962OctA collection of puzzles involving numbers, logic, and probabilityY5. The Unexpected Hanging and Other Mathematical Diversions 15. Nine Problemsyes2 notes available. More info on Oct 1962
1962NovSome puzzles based on checkerboardsY5. The Unexpected Hanging and Other Mathematical Diversions 16. The Eight Queens and Other Chessboard Diversionsyes2 notes available. More info on Nov 1962
1962DecSome simple tricks and manipulations from the ancient lore of string playY5. The Unexpected Hanging and Other Mathematical Diversions 17. A Loop of Stringyes2 notes available. More info on Dec 1962
1963JanThe author pays his annual visit to Dr. Matrix, the numerologistY4. The Magic Numbers of Dr. Matrix3. Sing Singyes2 notes available. More info on Jan 1963
1963FebCurves of constant width, one of which makes it possible to drill square holesY5. The Unexpected Hanging and Other Mathematical Diversions 18. Curves of Constant Widthyes2 notes available. More info on Feb 1963
1963MarA new paradox, and variations on it, about a man condemned to be hangedY5. The Unexpected Hanging and Other Mathematical Diversions 1. The Paradox of the Unexpected Hangingyes2 notes available. More info on Mar 1963
1963AprA bit of foolishness for April Fools' DayY5. The Unexpected Hanging and Other Mathematical Diversions 20. Thirty-Seven Catch Questionsyes2 notes available. More info on Apr 1963
1963MayOn "rep-tiles", polygons that can make larger and smaller copies of themselvesY5. The Unexpected Hanging and Other Mathematical Diversions 19. Rep-Tiles: Replicating Figures on the Planeyes2 notes available. More info on May 1963
1963JunA discussion of helical structures, from corkscrews to DNA moleculesY6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American1. The Helixyes2 notes available. More info on Jun 1963
1963JulTopological diversions, including a bottle with no inside or outsideY6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American2. Klein Bottles and Other Surfacesyes2 notes available. More info on Jul 1963
1963AugPermutations and paradoxes in combinatorial mathematicsY6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American3. Combinatorial Theoryyes2 notes available. More info on Aug 1963
1963SepHow to solve puzzles by graphing the rebounds of a bouncing ballY6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American4. Bouncing Balls in Polygons and Polyhedronsyes2 notes available. More info on Sep 1963
1963OctAbout two new and two old mathematical board gamesY6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American5. Four Unusual Board Gamesyes2 notes available. More info on Oct 1963
1963NovA mixed bag of problemsY6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American6. The Rigid Square and Eight Other Problemsyes2 notes available. More info on Nov 1963
1963DecHow to use the odd-even check for tricks and problem-solvingY6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American8. Parity Checksyes2 notes available. More info on Dec 1963
1964JanPresenting the one and only Dr. Matrix, numerologist, in his annual performanceY4. The Magic Numbers of Dr. Matrix5. Chicagoyes2 notes available. More info on Jan 1964
1964FebThe hypnotic fascination of sliding-block puzzlesY6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American7. Sliding-Block Puzzlesyes2 notes available. More info on Feb 1964
1964MarThe remarkable lore of the prime numbers [cover]Y6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American9. Patterns and Primesyes2 notes available. More info on Mar 1964
1964AprVarious problems based on planar graphs, or sets of "vertices" connected by "edges"Y6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American10. Graph Theoryyes2 notes available. More info on Apr 1964
1964MayThe tyranny of 10 overthrown with the ternary number systemY6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American11. The Ternary Systemyes2 notes available. More info on May 1964
1964JunA collection of short problems and more talk of prime numbersY6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American12. The Trip around the Moon and Seven Other Problemsyes2 notes available. More info on Jun 1964
1964JulCurious properties of a cycloid curveY6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American13. The Cycloid: Helen of Geometryyes2 notes available. More info on Jul 1964
1964AugConcerning several magic tricks based on mathematical principlesY6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American14. Mathematical Magic Tricksyes2 notes available. More info on Aug 1964
1964SepPuns, palindromes and other word games that partake of the mathematical spiritY6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American15. Word Playyes2 notes available. More info on Sep 1964
1964OctSimple proofs of the Pythagorean theorem, and sundry other mattersY6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American16. The Pythagorean Theoremyes2 notes available. More info on Oct 1964
1964NovSome paradoxes and puzzles involving infinite series and the concept of limitY6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American17. Limits of Infinite Seriesyes2 notes available. More info on Nov 1964
1964DecOn polyiamonds: shapes that are made out of equilateral trianglesY6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American18. Polyiamondsyes2 notes available. More info on Dec 1964
1965JanSome comments by Dr. Matrix on symmetries and reversalsY4. The Magic Numbers of Dr. Matrix6. Miami Beachyes2 notes available. More info on Jan 1965
1965FebTetrahedrons in nature and architecture, and puzzles involving this simplest polyhedronY6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American19. Tetrahedonsyes2 notes available. More info on Feb 1965
1965MarA new group of short problemsY6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American20. Coleridge’s Apples and Eight Other Problemsyes2 notes available. More info on Mar 1965
1965AprThe infinite regress in philosophy, literature and mathematical proofY6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American22. Infinite Regressyes2 notes available. More info on Apr 1965
1965MayThe lattice of integers considered as an orchard or a billiard tableY6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American21. The Lattice of Integersyes2 notes available. More info on May 1965
1965JunSome diversions and problems from Mr. O'Gara, the postmanY6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American23. O’Gara, the Mathematical Mailmanyes2 notes available. More info on Jun 1965
1965JulOn the relation between mathematics and the ordered patterns of Op art [cover]Y6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American24. Op Artyes2 notes available. More info on Jul 1965
1965AugThoughts on the task of communication with intelligent organisms on other worldsY6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American25. Extraterrestrial Communicationsyes2 notes available. More info on Aug 1965
1965SepThe "superellipse": a curve that lies between the ellipse and the rectangleY7. Mathematical Carnival18. Piet Hein’s Superellipseyes2 notes available. More info on Sep 1965
1965OctPentominoes and polyominoes: five games and a sampling of problemsY8. Mathematical Magic Show13. Polyominoes and Rectificationyes2 notes available. More info on Oct 1965
1965NovA selection of elementary word and number problemsY7. Mathematical Carnival9. The Red-Faced Cube and Other Problemsyes2 notes available. More info on Nov 1965
1965DecMagic stars, graphs and polyhedronsY7. Mathematical Carnival5. Magic Stars and Polyhedronsyes2 notes available. More info on Dec 1965
1966JanDr. Matrix returns, now in the guise of a neo-Freudian psychonumeranalystY4. The Magic Numbers of Dr. Matrix7. Philadelphiayes2 notes available. More info on Jan 1966
1966FebRecreational numismatics, or a purse of coin puzzlesY7. Mathematical Carnival2. Penny Puzzlesyes2 notes available. More info on Feb 1966
1966MarThe hierarchy of infinities and the problems it spawnsY7. Mathematical Carnival3. Aleph-Null and Aleph-oneyes2 notes available. More info on Mar 1966
1966AprThe eerie mathematical art of Maurits C. EscherY7. Mathematical Carnival8. The Art of M. C. Escheryes2 notes available. More info on Apr 1966
1966MayHow to "cook" a puzzle, or mathematical one-upperyY7. Mathematical Carnival17. Cooks and Quibble-Cooksyes2 notes available. More info on May 1966
1966JunThe persistence (and futility) of efforts to trisect the angleY7. Mathematical Carnival19. How to Trisect an Angleyes2 notes available. More info on Jun 1966
1966JulFreud's friend Wilhelm Fliess and his theory of male and female life cyclesY7. Mathematical Carnival12. The Numerology of Dr. Fliessyes2 notes available. More info on Jul 1966
1966AugPuzzles that can be solved by reasoning based on elementary physical principlesY7. Mathematical Carnival14. The Rising Hourglass and Other Physics Puzzlesyes2 notes available. More info on Aug 1966
1966SepThe problem of Mrs. Perkins' quiltY7. Mathematical Carnival11. Mrs. Perkins’ Quilt and Other Square-Packing Problemsyes2 notes available. More info on Sep 1966
1966OctCan the shuffling of cards (and other apparently random events) be reversed?Y7. Mathematical Carnival10. Card Shufflesyes2 notes available. More info on Oct 1966
1966NovIs it possible to visualize a four-dimensional figure?Y7. Mathematical Carnival4. Hypercubesyes2 notes available. More info on Nov 1966
1966DecThe multiple charms of Pascal's triangleY7. Mathematical Carnival15. Pascal’s Triangleyes2 notes available. More info on Dec 1966
1967JanDr. Matrix delivers a talk on acrosticsY4. The Magic Numbers of Dr. Matrix9. Wordsmith Collegeyes3 notes available. More info on Jan 1967
1967FebMathematical strategies for two-person contestsY7. Mathematical Carnival16. Jam, Hot, and Other Gamesyes3 notes available. More info on Feb 1967
1967MarAn array of problems that can be solved with elementary mathematical techniquesY8. Mathematical Magic Show15. The Dragon Curve and Other Problemsyes2 notes available. More info on Mar 1967
1967AprThe amazing feats of professional mental calculators, and some tricks of the tradeY7. Mathematical Carnival6. Calculating Prodigiesyes2 notes available. More info on Apr 1967
1967MayCube-root extraction and the calendar trick, or how to cheat in mathematicsY7. Mathematical Carnival7. Tricks of Lightning Calculatorsyes2 notes available. More info on May 1967
1967JunThe polyhex and the polyabolo, polygonal jigsaw puzzle piecesY8. Mathematical Magic Show11. Polyhexes and Polyaboloesyes2 notes available. More info on Jun 1967
1967JulOf sprouts and Brussels sprouts, games with a topological flavorY7. Mathematical Carnival1. Sprouts and Brussels Sproutsyes2 notes available. More info on Jul 1967
1967AugIn which a computer prints out mammoth polygonal factorialsY8. Mathematical Magic Show4. Factorial Odditiesyes2 notes available. More info on Aug 1967
1967SepDouble acrostics, stylized Victorian ancestors of today's crossword puzzleY8. Mathematical Magic Show6. Double Acrosticsyes2 notes available. More info on Sep 1967
1967OctProblems that are built on the knight's move in chessY8. Mathematical Magic Show14. Knights of the Square Tableyes2 notes available. More info on Oct 1967
1967NovA mixed bag of logical and illogical problems to solveY8. Mathematical Magic Show5. The Cocktail Cherry and Other Problemsyes2 notes available. More info on Nov 1967
1967DecGame theory is applied (for a change) to gamesY8. Mathematical Magic Show3. Game Theory, Guess It, Foxholesyes3 notes available. More info on Dec 1967
1968JanThe beauties of the square, as expounded by Dr. Matrix to rehabilitate the hippieY4. The Magic Numbers of Dr. Matrix10. Squaresvilleyes2 notes available. More info on Jan 1968
1968FebCombinatorial problems involving tree graphs and forests of treesY8. Mathematical Magic Show17. Treesyes2 notes available. More info on Feb 1968
1968MarA short treatise on the useless elegance of perfect numbers and amicable pairsY8. Mathematical Magic Show12. Perfect, Amicable, Sociableyes2 notes available. More info on Mar 1968
1968AprPuzzles and tricks with a dollar billY9. Mathematical Circus20. Dollar Billsyes2 notes available. More info on Apr 1968
1968MayCircles and spheres, and how they kiss and packY9. Mathematical Circus3. Spheres and Hyperspheresyes2 notes available. More info on May 1968
1968JunCombinatorial possibilities in a pack of shuffled cardsY8. Mathematical Magic Show7. Playing Cardsyes2 notes available. More info on Jun 1968
1968JulOn the meaning of randomness and some ways of achieving itY7. Mathematical Carnival13. Random Numbersyes2 notes available. More info on Jul 1968
1968AugAn array of puzzles and tricks, with a few traps for the unwaryY8. Mathematical Magic Show10. Ridiculous Questionsyes3 notes available. More info on Aug 1968
1968SepCounting systems and the relationship between numbers and the real worldY8. Mathematical Magic Show8. Finger Arithmeticyes2 notes available. More info on Sep 1968
1968OctMacMahon's color triangles and the joys of fitting them togetherY8. Mathematical Magic Show16. Colored Triangles and Cubesyes2 notes available. More info on Oct 1968
1968NovOn the ancient lore of dice and the odds against making a pointY8. Mathematical Magic Show18. Diceyes2 notes available. More info on Nov 1968
1968DecThe world of the Möbius strip: endless, edgeless and one-sidedY8. Mathematical Magic Show9. Möbius Bandsyes2 notes available. More info on Dec 1968
1969JanDr. Matrix gives his explanation of why Mr. Nixon was elected PresidentY4. The Magic Numbers of Dr. Matrix12. Fifth Avenueyes1 note available. More info on Jan 1969
1969FebBoolean algebra, Venn diagrams and the propositional calculusY9. Mathematical Circus8. Boolean Algebrayes2 notes available. More info on Feb 1969
1969MarThe multiple fascinations of the Fibonacci sequenceY9. Mathematical Circus13. Fibonacci and Lucas Numbersyes2 notes available. More info on Mar 1969
1969AprAn octet of problems that emphasize gamesmanship, logic and probabilityY9. Mathematical Circus15. The Rotating Round Table and Other Problemsyes2 notes available. More info on Apr 1969
1969MayThe rambling random walk and its gambling equivalentY9. Mathematical Circus6. Random Walks and Gamblingyes2 notes available. More info on May 1969
1969JunRandom walks, by semidrunk bugs and others, on the square and on the cubeY9. Mathematical Circus7. Random Walks on the Plane and in Spaceyes2 notes available. More info on Jun 1969
1969JulTricks, games and puzzles that employ matches as counters and line segmentsY9. Mathematical Circus2. Matchesyes2 notes available. More info on Jul 1969
1969AugSimplicity as a scientific concept: Does nature keep her accounts on a thumbnail?Y9. Mathematical Circus14. Simplicityyes2 notes available. More info on Aug 1969
1969SepGeometric constructions with a compass and a straightedge, and also with a compass aloneY9. Mathematical Circus17. Mascheroni Constructionsyes2 notes available. More info on Sep 1969
1969OctA numeranalysis by Dr. Matrix of the lunar flight of Apollo 11Y4. The Magic Numbers of Dr. Matrix13. The Moonyes1 note available. More info on Oct 1969
1969NovA new pencil-and-paper game based on inductive reasoning [cover]Y9. Mathematical Circus4. Patterns of Inductionyes2 notes available. More info on Nov 1969
1969DecA handful of combinatorial problems based on dominoesY9. Mathematical Circus12. Dominoesyes2 notes available. More info on Dec 1969
1970JanThe abacus: primitive but effective digital computerY9. Mathematical Circus18. The Abacusyes2 notes available. More info on Jan 1970
1970FebNine new puzzles to solveY9. Mathematical Circus11. Eccentric Chess and Other Problemsyes2 notes available. More info on Feb 1970
1970MarCyclic numbers and their propertiesY9. Mathematical Circus10. Cyclic Numbersyes2 notes available. More info on Mar 1970
1970AprSome mathematical curiosities embedded in the solar systemY9. Mathematical Circus16. Solar System Odditiesyes2 notes available. More info on Apr 1970
1970MayOf optical illusions, from figures that are undecidable to hot dogs that floatY9. Mathematical Circus1. Optical Illusionsyes2 notes available. More info on May 1970
1970JunElegant triangle theorems not to be found in EuclidY9. Mathematical Circus5. Elegant Trianglesyes2 notes available. More info on Jun 1970
1970JulDiophantine analysis and the problem of Fermat's legendary "last theorem"Y10. Wheels, Life, and Other Mathematical Amusements2. Diophantine Analysis and Fermat's Last Theoremyes2 notes available. More info on Jul 1970
1970AugBackward run numbers, letters, words and sentences until boggles the mindY9. Mathematical Circus19. Palindromes: Words and Numbersyes2 notes available. More info on Aug 1970
1970SepOn the cyclical curves generated by wheels that roll along wheelsY10. Wheels, Life, and Other Mathematical Amusements1. Wheelsyes2 notes available. More info on Sep 1970
1970OctThe fantastic combinations of John Conway's new solitaire game "life"Y10. Wheels, Life, and Other Mathematical Amusements20. The Game of Life, Part Iyes2 notes available. More info on Oct 1970
1970NovA new collection of short problems and the answers to some of "life's"Y10. Wheels, Life, and Other Mathematical Amusements3. The Knotted Molecule and Other Problemsyes3 notes available. More info on Nov 1970
1970DecThe paradox of the nontransitive dice and the elusive principle of indifferenceY10. Wheels, Life, and Other Mathematical Amusements5. Nontransitive Dice and Other Probability Paradoxesyes2 notes available. More info on Dec 1970
1971JanLessons from Dr. Matrix in chess and numerologyY4. The Magic Numbers of Dr. Matrix14. Honoluluyes2 notes available. More info on Jan 1971
1971FebOn cellular automata, self-reproduction, the Garden of Eden and the game "life" [cover]Y10. Wheels, Life, and Other Mathematical Amusements21. The Game of Life, Part IIyes3 notes available. More info on Feb 1971
1971MarThe orders of infinity, the topological nature of dimension and "supertasks"Y10. Wheels, Life, and Other Mathematical Amusements4. Alephs and Supertasksyes2 notes available. More info on Mar 1971
1971AprGeometric fallacies: hidden errors pave the road to absurd conclusionsY10. Wheels, Life, and Other Mathematical Amusements6. Geometric Fallaciesyes2 notes available. More info on Apr 1971
1971MayThe combinatorial richness of folding a piece of paperY10. Wheels, Life, and Other Mathematical Amusements7. The Combinatorics of Paper Foldingyes2 notes available. More info on May 1971
1971JunThe Turing game and the question it presents: Can a computer think?Y9. Mathematical Circus9. Can Machines Think?yes2 notes available. More info on Jun 1971
1971JulQuickie problems: not hard, but look out for the curvesY10. Wheels, Life, and Other Mathematical Amusements8. A Set of Quickiesyes3 notes available. More info on Jul 1971
1971AugTicktacktoe and its complicationsY10. Wheels, Life, and Other Mathematical Amusements9. Ticktacktoe Gamesyes2 notes available. More info on Aug 1971
1971SepThe plaiting of Plato's polyhedrons and the asymmetrical yin-yang-leeY10. Wheels, Life, and Other Mathematical Amusements10. Plaiting Polyhedronsyes2 notes available. More info on Sep 1971
1971OctNew puzzles from the game of Halma, the noble ancestor of Chinese checkersY10. Wheels, Life, and Other Mathematical Amusements11. The Game of Halmayes2 notes available. More info on Oct 1971
1971NovAdvertising premiums to beguile the mind: classics by Sam Loyd, master puzzle-poserY10. Wheels, Life, and Other Mathematical Amusements12. Advertising Premiumsyes2 notes available. More info on Nov 1971
1971DecFurther encounters with touching cubes, and the paradoxes of Zeno as "supertasks"Y10. Wheels, Life, and Other Mathematical Amusements13. Salmon on Austin's Dogyes1 note available. More info on Dec 1971
1972JanHow to triumph at nim by playing safe, and John Horton Conway's game "Hackenbush"Y10. Wheels, Life, and Other Mathematical Amusements14. Nim and Hackenbushyes2 notes available. More info on Jan 1972
1972FebDr. Matrix poses some heteroliteral puzzles while peddling perpetual motion in HoustonY4. The Magic Numbers of Dr. Matrix15. Houstonyes2 notes available. More info on Feb 1972
1972MarThe graceful graphs of Solomon Golomb, or how to number a graph parsimoniouslyY10. Wheels, Life, and Other Mathematical Amusements15. Golomb’s Graceful Graphsyes2 notes available. More info on Mar 1972
1972AprA topological problem with a fresh twist, and eight other new recreational puzzlesY10. Wheels, Life, and Other Mathematical Amusements16. Charles Addams’ Skier and other Problemsyes2 notes available. More info on Apr 1972
1972MayChallenging chess tasks for puzzle buffs and answers to the recreational problemsY10. Wheels, Life, and Other Mathematical Amusements17. Chess Tasksyes3 notes available. More info on May 1972
1972JunA miscellany of transcendental problems: simple to state but not at all easy to solveY10. Wheels, Life, and Other Mathematical Amusements18. Slither, 3X+1, and Other Curious Questionsyes1 note available. More info on Jun 1972
1972JulAmazing mathematical card tricks that do not require prestidigitationY10. Wheels, Life, and Other Mathematical Amusements19. Mathematical Tricks With Cardsyes2 notes available. More info on Jul 1972
1972AugThe curious properties of the Gray code and how it can be used to solve puzzlesY11. Knotted Doughnuts and Other Mathematical Entertainments2. The Binary Gray Codeyes2 notes available. More info on Aug 1972
1972SepPleasurable problems with polycubesY11. Knotted Doughnuts and Other Mathematical Entertainments3. Polycubesyes3 notes available. More info on Sep 1972
1972OctWhy the long arm of coincidence is usually not as long as it seemsY11. Knotted Doughnuts and Other Mathematical Entertainments1. Coincidenceyes2 notes available. More info on Oct 1972
1972NovOn the practical uses and bizarre abuses of Sir Francis Bacon's biliteral cipherY11. Knotted Doughnuts and Other Mathematical Entertainments4. Bacon’s Cipheryes2 notes available. More info on Nov 1972
1972DecKnotty problems with a two-hole torusY11. Knotted Doughnuts and Other Mathematical Entertainments5. Doughnuts: Linked and Knottedyes2 notes available. More info on Dec 1972
1973JanSim, Chomp and Race Track: new games for the intellect (and not for Lady Luck)Y11. Knotted Doughnuts and Other Mathematical Entertainments9. Sim, Chomp and Racetrackyes2 notes available. More info on Jan 1973
1973FebUp-and-down elevator games and Piet Hein's mechanical puzzlesY11. Knotted Doughnuts and Other Mathematical Entertainments10. Elevatorsyes2 notes available. More info on Feb 1973
1973MarThe calculating rods of John Napier, the eccentric father of the logarithmY11. Knotted Doughnuts and Other Mathematical Entertainments7. Napier's Bonesyes2 notes available. More info on Mar 1973
1973AprHow to turn a chessboard into a computer and to calculate with negabinary numbersY11. Knotted Doughnuts and Other Mathematical Entertainments8. Napier’s Abacusyes2 notes available. More info on Apr 1973
1973MayA new miscellany of problemsY11. Knotted Doughnuts and Other Mathematical Entertainments6. The Tour of the Arrows and Other Problemsyes2 notes available. More info on May 1973
1973JunPlotting the crossing number of graphsY11. Knotted Doughnuts and Other Mathematical Entertainments11. Crossing Numbersyes2 notes available. More info on Jun 1973
1973JulFree will revisited, with a mind-bending prediction paradox by William NewcombY11. Knotted Doughnuts and Other Mathematical Entertainments13. Newcomb’s Paradoxyes3 notes available. More info on Jul 1973
1973AugAn astounding self-test of clairvoyance by Dr. MatrixY4. The Magic Numbers of Dr. Matrix16. Clairvoyance Testyes2 notes available. More info on Aug 1973
1973SepProblems on the surface of a sphere offer an entertaining introduction to point setsY11. Knotted Doughnuts and Other Mathematical Entertainments12. Point Sets on the Sphereyes2 notes available. More info on Sep 1973
1973Oct"Look-see" diagrams that offer visual proof of complex algebraic formulasY11. Knotted Doughnuts and Other Mathematical Entertainments16. Look-See Proofsyes2 notes available. More info on Oct 1973
1973NovFantastic patterns traced by programmed "worms"Y11. Knotted Doughnuts and Other Mathematical Entertainments17. Worm Pathsyes2 notes available. More info on Nov 1973
1973DecOn expressing integers as the sum of cubes and other unsolved number-theory problemsY11. Knotted Doughnuts and Other Mathematical Entertainments18. Waring’s Problemsyes2 notes available. More info on Dec 1973
1974JanThe combinatorial basis of the "I Ching," the Chinese book of divination and wisdom [cover]Y11. Knotted Doughnuts and Other Mathematical Entertainments20. The I Chingyes2 notes available. More info on Jan 1974
1974FebCram, crosscram and quadraphage: new games having elusive winning strategiesY11. Knotted Doughnuts and Other Mathematical Entertainments19. Cram, Bynum and Quadraphageyes2 notes available. More info on Feb 1974
1974MarReflections on Newcomb's problem: a prediction and free-will dilemmaY11. Knotted Doughnuts and Other Mathematical Entertainments14. Reflections on Newcomb’s Paradoxyes3 notes available. More info on Mar 1974
1974AprNine challenging problems, some rational and some notY11. Knotted Doughnuts and Other Mathematical Entertainments15. Reverse the Fish and Other Problemsyes2 notes available. More info on Apr 1974
1974MayOn the contradictions of time travelY12. Time Travel and Other Mathematical Bewilderments1. Time Travelyes2 notes available. More info on May 1974
1974JunDr. Matrix brings his numerological Science to bear on the occult powers of the pyramidY4. The Magic Numbers of Dr. Matrix17. Pyramid Lakeyes2 notes available. More info on Jun 1974
1974JulOn the patterns and the unusual properties of figurate numbersY12. Time Travel and Other Mathematical Bewilderments2. Hexes and Starsyes2 notes available. More info on Jul 1974
1974AugOn the fanciful history and the creative challenges of the puzzle game of tangramsY12. Time Travel and Other Mathematical Bewilderments3. Tangrams, Part 1yes2 notes available. More info on Aug 1974
1974SepMore on tangrams: Combinatorial problems and the game possibilities of snug tangramsY12. Time Travel and Other Mathematical Bewilderments4. Tangrams, Part 2yes2 notes available. More info on Sep 1974
1974OctOn the paradoxical situations that arise from nontransitive relationsY12. Time Travel and Other Mathematical Bewilderments5. Nontransitive Paradoxesyes2 notes available. More info on Oct 1974
1974NovSome new and dramatic demonstrations of number theorems with playing cardsY12. Time Travel and Other Mathematical Bewilderments6. Combinatorial Card Problemsyes2 notes available. More info on Nov 1974
1974DecThe arts as combinatorial mathematics, or how to compose like Mozart with diceY12. Time Travel and Other Mathematical Bewilderments7. Melody-Making Machinesyes2 notes available. More info on Dec 1974
1975JanThe curious magic of anamorphic art [cover]Y12. Time Travel and Other Mathematical Bewilderments8. Anamorphic Artyes2 notes available. More info on Jan 1975
1975FebHow the absence of anything leads to thoughts of nothingY8. Mathematical Magic Show1. Nothingyes2 notes available. More info on Feb 1975
1975MarFrom rubber ropes to rolling cubes, a miscellany of refreshing problemsY12. Time Travel and Other Mathematical Bewilderments9. The Rubber Rope and Other Problemsyes2 notes available. More info on Mar 1975
1975AprSix sensational discoveries that somehow or another have escaped public attentionY12. Time Travel and Other Mathematical Bewilderments10. Six Sensational Discoveriesyes2 notes available. More info on Apr 1975
1975MayOn the remarkable Császár polyhedron and its applications in problem solvingY12. Time Travel and Other Mathematical Bewilderments11. The Császár Polyhedronyes2 notes available. More info on May 1975
1975JunGames of strategy for two players: star nim, meander, dodgem and rexY12. Time Travel and Other Mathematical Bewilderments12. Dodgem and Other Simple Gamesyes2 notes available. More info on Jun 1975
1975JulOn tessellating the plane with convex polygon tilesY12. Time Travel and Other Mathematical Bewilderments13. Tiling with Convex Polygonsyes2 notes available. More info on Jul 1975
1975AugMore about tiling the plane: the possibilities of polyominoes, polyiamonds, and polyhexesY12. Time Travel and Other Mathematical Bewilderments14. Tiling with Polyominoes, Polyiamonds, and Polyhexesyes2 notes available. More info on Aug 1975
1975SepDr. Matrix finds numerological wonders in the King James BibleY4. The Magic Numbers of Dr. Matrix18. The King James Bibleyes1 note available. More info on Sep 1975
1975NovOn map projections (with special reference to some inspired ones) [cover]Y12. Time Travel and Other Mathematical Bewilderments15. Curious Mapsyes2 notes available. More info on Nov 1975
1975DecA random assortment of puzzles, together with reader responses to earlier problemsY12. Time Travel and Other Mathematical Bewilderments16. The Sixth Symbol and Other Problemsyes2 notes available. More info on Dec 1975
1976JanA breakthrough in magic squares, and the first perfect magic cubeY12. Time Travel and Other Mathematical Bewilderments17. Magic Squares and Cubesyes2 notes available. More info on Jan 1976
1976FebSome elegant brick-packing problems, and a new order-7 perfect magic cubeY12. Time Travel and Other Mathematical Bewilderments18. Block Packingyes2 notes available. More info on Feb 1976
1976MarOn the fabric of inductive logic, and some probability paradoxesY12. Time Travel and Other Mathematical Bewilderments19. Induction and Probabilityyes2 notes available. More info on Mar 1976
1976AprSnarks, Boojums and other conjectures related to the four-color-map theoremY15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications23. Trivalent Graphs, Snarks, and Boojumsyes2 notes available. More info on Apr 1976
1976MayA few words about everything there was, is and ever will beY8. Mathematical Magic Show19. Everythingyes2 notes available. More info on May 1976
1976JunCatalan numbers: an integer sequence that materializes in unexpected placesY12. Time Travel and Other Mathematical Bewilderments20. Catalan Numbersyes2 notes available. More info on Jun 1976
1976JulFun and serious business with the small electronic calculatorY12. Time Travel and Other Mathematical Bewilderments21. Fun with a Pocket Calculatoryes2 notes available. More info on Jul 1976
1976AugThe symmetrical arrangement of the stars on the American flag and related mattersY12. Time Travel and Other Mathematical Bewilderments22. Tree-Plant Problemsyes2 notes available. More info on Aug 1976
1976SepJohn Horton Conway's book covers an infinity of gamesY13. Penrose Tiles to Trapdoor Ciphers4. Conway's Surreal Numbersyes2 notes available. More info on Sep 1976
1976OctCombinatorial problems, some old, some new and all newly attacked by computerY13. Penrose Tiles to Trapdoor Ciphers5. Back from the Klondike and Other Problemsyes1 note available. More info on Oct 1976
1976NovIn which DM (Dr. Matrix) is revealed as the guru of PM (Pentagonal Meditation)Y4. The Magic Numbers of Dr. Matrix19. Calcuttayes2 notes available. More info on Nov 1976
1976DecIn which "monster" curves force redefinition of the word "curve"Y13. Penrose Tiles to Trapdoor Ciphers3. Mandelbrot’s Fractalsyes2 notes available. More info on Dec 1976
1977JanExtraordinary nonperiodic tiling that enriches the theory of tiles [cover]Y13. Penrose Tiles to Trapdoor Ciphers1. Penrose Tilingyes2 notes available. More info on Jan 1977
1977FebThe flip-strip sonnet, the lipogram and other mad modes of wordplayY13. Penrose Tiles to Trapdoor Ciphers6. The Oulipoyes4 notes available. More info on Feb 1977
1977MarCornering a queen leads unexpectedly into corners of the theory of numbersY13. Penrose Tiles to Trapdoor Ciphers8. Wythoff's Nimyes1 note available. More info on Mar 1977
1977AprThe pool-table triangle, a limerick paradox and divers other challengesY13. Penrose Tiles to Trapdoor Ciphers9. Pool-Ball Triangles and Other Problemsyes2 notes available. More info on Apr 1977
1977MayThe "jump proof" and its similarity to the toppling of a row of dominoesY13. Penrose Tiles to Trapdoor Ciphers10. Mathematical Induction and Colored Hatsyes1 note available. More info on May 1977
1977JunThe concept of negative numbers and the difficulty of grasping itY13. Penrose Tiles to Trapdoor Ciphers11. Negative Numbersyes2 notes available. More info on Jun 1977
1977JulCutting things into equal parts leads into significant areas of mathematicsY13. Penrose Tiles to Trapdoor Ciphers12. Cutting Shapes into N Congruent Partsyes2 notes available. More info on Jul 1977
1977AugA new kind of cipher that would take millions of years to breakY13. Penrose Tiles to Trapdoor Ciphers13. Trapdoor Ciphersyes2 notes available. More info on Aug 1977
1977SepOn conic sections, ruled surfaces and other manifestations of the hyperbolaY13. Penrose Tiles to Trapdoor Ciphers15. Hyperbolasyes2 notes available. More info on Sep 1977
1977OctOn playing New Eleusis, the game that simulates the search for truthY13. Penrose Tiles to Trapdoor Ciphers16. The New Eleusisyes2 notes available. More info on Oct 1977
1977NovIn which joining sets of points by lines leads into diverse (and diverting) pathsY13. Penrose Tiles to Trapdoor Ciphers17. Ramsey Theoryyes2 notes available. More info on Nov 1977
1977DecDr. Matrix goes to California to apply punk to rock studyY4. The Magic Numbers of Dr. Matrix20. Stanfordyes2 notes available. More info on Dec 1977
1978JanThe sculpture of Miguel Berrocal can be taken apart like an interlocking mechanical puzzleY13. Penrose Tiles to Trapdoor Ciphers18. From Burrs to Berrocalyes2 notes available. More info on Jan 1978
1978FebOn checker jumping, the Amazon game, weird dice, card tricks and other playful pastimesY13. Penrose Tiles to Trapdoor Ciphers19. Sicherman Dice, the Kruskal Count and Other Curiositiesyes3 notes available. More info on Feb 1978
1978MarCount Dracula, Alice, Portia and many others consider various twists of logicY13. Penrose Tiles to Trapdoor Ciphers20. Ramond Smullyan's Logic Puzzlesyes2 notes available. More info on Mar 1978
1978AprWhite and brown music, fractal curves and one-over-f fluctuations [cover]Y14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine1. White, Brown, and Fractal Musicyes2 notes available. More info on Apr 1978
1978MayThe Bells: versatile numbers that can count partitions of a set, primes and even rhymesY14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine2. The Tinkly Temple Bellsyes2 notes available. More info on May 1978
1978JunA mathematical zoo of astounding critters, imaginary and otherwiseY14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine3. The Mathematical Zooyes2 notes available. More info on Jun 1978
1978JulOn Charles Sanders Peirce: philosopher and gamesmanY14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine4. Charles Sanders Peirceyes2 notes available. More info on Jul 1978
1978AugA Möbius band has a finite thickness, and so it is actually a twisted prismY14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine5. Twisted Prismatic Ringsyes2 notes available. More info on Aug 1978
1978SepPuzzling over a problem-solving matrix, cubes of many colors and three-dimensional dominoesY14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine6. The Thirty Color Cubesyes2 notes available. More info on Sep 1978
1978OctPuzzles and number-theory problems arising from the curious fractions of ancient EgyptY14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine7. Egyptian Fractionsyes2 notes available. More info on Oct 1978
1978NovIn which a mathematical aesthetic is applied to modern minimal artY14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine8. Minimal Sculptureyes2 notes available. More info on Nov 1978
1978DecIs it a superintelligent robot or does Dr. Matrix ride again?Y4. The Magic Numbers of Dr. Matrix21. Chautauquayes2 notes available. More info on Dec 1978
1979JanThe diverse pleasures of circles that are tangent to one anotherY14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine10. Tangent Circlesyes2 notes available. More info on Jan 1979
1979FebAbout rectangling rectangles, parodying Poe and many another pleasing problemY14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine11. The Rotating Table and Other Problemsyes2 notes available. More info on Feb 1979
1979MarOn altering the past, delaying the future and other ways of tampering with timeY14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine12. Does Time Ever Stop? Can the Past Be Altered?yes2 notes available. More info on Mar 1979
1979AprIn which players of ticktacktoe are taught to hunt bigger gameY14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine13. Generalized Ticktacktoeyes2 notes available. More info on Apr 1979
1979MayHow to be a psychic, even if you are a horse or some other animalY14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine14. Psychic Wonders and Probabilityyes2 notes available. More info on May 1979
1979JunChess problems on a higher plane, including mirror images, rotations and the superqueenY14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine15. Mathematical Chess Problemsyes2 notes available. More info on Jun 1979
1979JulDouglas R. Hofstadter's "Gödel, Escher, Bach"Y14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine16. Douglas Hofstadter's Gödel, Escher, Bachyes2 notes available. More info on Jul 1979
1979AugThe imaginableness of the imaginary numbersY14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine17. Imaginary Numbersyes2 notes available. More info on Aug 1979
1979SepIn some patterns of numbers or words there may be less than meets the eyeY14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine18. Pi and Poetry: Some Accidental Patternsyes2 notes available. More info on Sep 1979
1979OctSome packing problems that cannot be solved by sitting on the suitcaseY14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine20. Packing Squaresyes2 notes available. More info on Oct 1979
1979NovThe random number omega bids fair to hold the mysteries of the universeY14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine21. Chaitin's Omegayes2 notes available. More info on Nov 1979
1979DecA pride of problems, including one that is virtually impossibleY15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications21. A Toroidal Paradox and Other Problemsyes1 note available. More info on Dec 1979
1980JanCheckers, a game that can be more interesting than one might thinkY15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications13. Checker Recreations, Part Iyes2 notes available. More info on Jan 1980
1980FebThe coloring of unusual maps leads into uncharted territoryY15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications6. M-Pire Mapsyes2 notes available. More info on Feb 1980
1980MarGraphs that can help cannibals, missionaries, wolves, goats and cabbages get there from hereY15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications7. Directed Graphs and Cannibalsyes2 notes available. More info on Mar 1980
1980AprFun with eggs: uncooked, cooked and mathematicalY15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications3. Fun with Eggs, Part Iyes2 notes available. More info on Apr 1980
1980MayWhat unifies dinner guests, strolling schoolgirls and handcuffed prisoners?Y15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications8. Dinner Guests, Schoolgirls, and Handcuffed Prisonersyes2 notes available. More info on May 1980
1980JunThe capture of the monster: a mathematical group with a ridiculous number of elementsY15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications9. The Monster and Other Sporadic Groupsyes2 notes available. More info on Jun 1980
1980JulThe pleasures of doing Science and technology in the planiverseY15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications1. The Wonders of a Planiverseyes2 notes available. More info on Jul 1980
1980AugOn the fine art of putting players, pills and points into their proper pigeonholesY15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications11. The Power of the Pigeonholeyes2 notes available. More info on Aug 1980
1980SepDr. Matrix, like Mr. Holmes, comes to an untimely and mysterious endY4. The Magic Numbers of Dr. Matrix22. Istanbulyes2 notes available. More info on Sep 1980
1980OctFrom counting votes to making votes count: the mathematics of electionsY15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications20. Voting Mathematicsyes2 notes available. More info on Oct 1980
1980NovTaxicab geometry offers a free ride to a non-Euclidean localeY15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications10. Taxicab Geometryyes2 notes available. More info on Nov 1980
1980DecPatterns in primes are a clue to the strong law of small numbersY15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications12. Strong Laws of Small Primesyes2 notes available. More info on Dec 1980
1981FebGauss's congruence theory was mod as early as 1801Y15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications15. Modulo Arithmetic and Hummer’s Wicked Witchyes2 notes available. More info on Feb 1981
1981AprHow Lavinia finds a room on University Avenue, and other geometric problemsY15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications16. Lavinia Seeks a Room and Other Problemsyes2 notes available. More info on Apr 1981
1981JunThe inspired geometrical symmetries of Scott KimY15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications17. The Symmetry Creations of Scott Kimyes2 notes available. More info on Jun 1981
1981AugThe abstract parabola fits the concrete worldY15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications18. Parabolasyes2 notes available. More info on Aug 1981
1981OctEuclid's parallel postulate and its modern offspringY15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications19. Non-Euclidean Geometryyes2 notes available. More info on Oct 1981
1981DecThe Laffer curve and other laughs in current economicsY11. Knotted Doughnuts and Other Mathematical Entertainments21. The Laffer Curveyes3 notes available. More info on Dec 1981
1983AugTasks you cannot help finishing no matter how hard you try to block finishing themY15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications2. Bulgarian Solitaire and Other Seemingly Endless Tasksyes1 note available. More info on Aug 1983
1983SepThe topology of knotsY15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications5. The Topology of Knotsyes2 notes available. More info on Sep 1983
1986JunCasting a net on a checkerboard and other puzzles of the forest Y15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications22. Minimal Steiner Treesyes2 notes available. More info on Jun 1986
No corresponding articleN13. Penrose Tiles to Trapdoor Ciphers2. Penrose Tiling IIyes3 notes available. More info on unknown-06
No corresponding articleN13. Penrose Tiles to Trapdoor Ciphers7. The Oulipo IIyes3 notes available. More info on unknown-09
No corresponding articleN13. Penrose Tiles to Trapdoor Ciphers14. Trapdoor Ciphers IIyes2 notes available. More info on unknown-12
No corresponding articleN13. Penrose Tiles to Trapdoor Ciphers21. The Return of Dr. Matrixyes3 notes available. More info on unknown-13
No corresponding articleN4. The Magic Numbers of Dr. Matrix4. Lincoln and Kennedyyes3 notes available. More info on unknown-16
No corresponding articleN4. The Magic Numbers of Dr. Matrix8. Piyes3 notes available. More info on unknown-17
No corresponding articleN4. The Magic Numbers of Dr. Matrix11. Left Versus Rightyes4 notes available. More info on unknown-19
No corresponding articleN10. Wheels, Life, and Other Mathematical Amusements22. The Game of Life, Part IIIyes1 note available. More info on unknown-20
No corresponding articleN8. Mathematical Magic Show2. More Ado About Nothingyes2 notes available. More info on unknown-22
No corresponding articleN14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine9. Minimal Sculpture IIyes2 notes available. More info on unknown-25
No corresponding articleN14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine19. More on Poetryyes2 notes available. More info on unknown-26
No corresponding articleN15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications4. Fun with Eggs, Part IIyes2 notes available. More info on unknown-27
No corresponding articleN15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications14. Checker Recreations, Part IIyes2 notes available. More info on unknown-28

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