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Chapters in Martin Gardner's Books

The Scientific American Book of Mathematical Puzzles and Diversions

Magic with a Matrix
Nine Problems
Probability Paradoxes
The Icosian Game and the Tower of Hanoi
Curious Topological Models
The Game of Hex
Sam Loyd: America's Greatest Puzzlist
Mathematical Card Tricks
Memorizing Numbers
Nine More Problems
Nim and Tac Tix
Left or Right?

The Second Scientific American Book of Mathematical Puzzles and Diversions

The Five Platonic Solids
Henry Ernest Dudeney: England's Greatest Puzzlist
Digital Roots
Nine Problems
The Soma Cube
Recreational Topology
Phi: The Golden Ratio
The Monkey and the Coconuts
Recreational Logic
Magic Squares
James Hugh Riley Shows, Inc.
Nine More Problems
Eleusis: The Induction Game
Squaring the Square
Mechanical Puzzles
Probability and Ambiguity
The Mysterious Dr. Matrix

New Mathematical Diversions from Scientific American

The Binary System
Group Theory and Braids
Eight Problems
The Games and Puzzles of Lewis Carroll
Paper Cutting
Board Games
Packing Spheres
The Transendental Number Pi
Victor Eigen: Mathemagician
The Four-Color Map Theorem
Mr. Apollinax Visits New York
Nine Problems
Polyominoes and Fault-Free Rectangles
Euler's Spoilers: The Discovery of an Order-10 Graeco-Latin Square
The Ellipse
The 24 Color Squares and the 30 Color Cubes
H.S.M. Coxeter
Bridg-it and Other Games
Nine More Problems
The Calculus of Finite Differences

The Unexpected Hanging and Other Mathematical Diversions

The Paradox of the Unexpected Hanging
Knots and Borromean Rings
The Transcendental Number e
Geometric Dissections
Scarne on Gambling
The Church of the Fourth Dimension
Eight Problems
A Matchbox Game-Learning Machine
Rotations and Reflections
Peg Solitaire
Chicago Magic Convention
Tests of Divisibility
Nine Problems
The Eight Queens and Other Chessboard Diversions
A Loop of String
Curves of Constant Width
Rep-Tiles: Replicating Figures on the Plane
Thirty-Seven Catch Questions

The Incredible Dr. Matrix

New York
Los Angeles
Sing Sing
Lincoln and Kennedy
Miami Beach
Wordsmith College
Left Versus Right
Fifth Avenue
The Moon
Clairvoyance Test
Pyramid Lake
The King James Bible

Sixth Book of Mathematical Games from Scientific American

The Helix
Klein Bottles and Other Surfaces
Combinatorial Theory
Bouncing Balls in Polygons and Polyhedrons
Four Unusual Board Games
The Rigid Square and Eight Other Problems
Sliding-Block Puzzles
Parity Checks
Patterns and Primes
Graph Theory
The Ternary System
The Trip Around the Moon and Seven Other Problems
The Cycloid: Helen of Geometry
Mathematical Card Tricks
Word Play
The Pythagorean Theorem
Limits of Infinite Series
Coleridge's Apples and Eight Other Problems
The Lattice of Integers
Infinite Regress
O'Gara, the Mathematical Mailman
Op Art
Extraterrestrial Communication

Mathematical Carnival

Sprouts and Brussels Sprouts
Penny Puzzles
Aleph-Null and Aleph-One
Magic Stars and Polyhedrons
Calculating Prodigies
Tricks of Lightning Calculators
The Art of M.C. Escher
The Red-Faced Cube and Other Problems
Card Shuffles
Mrs. Perkins' Quilt and Other Square-Packing Problems
The Numerology of Dr. Fliess
Random Numbers
The Rising Hourglass and Other Physics Puzzles
Pascal's Triangle
Jam, Hot, and Other Games
Cooks and Quibble-Cooks
Piet Hein's Superellipse
How to Trisect an Angle

Mathematical Magic Show

More Ado About Nothing
Game Theory, Guess It, Foxholes
Factorial Oddities
The Cocktail Cherry and Other Problems
Double Acrostics
Playing Cards
Finger Arithmetic
Moebius Bands
Ridiculous Questions
Polyhexes and Polyaboloes
Perfect, Amicable, Social
Polyominoes and Rectification
Knights of the Square Table
The Dragon Curve and Other Problems
Colored Triangles and Cubes

Mathematical Circus

Optical Illusion
Spheres and Hyperspheres
Patterns of Induction
Elegant Triangles
Random Walks and Gambling
Random Walks on the Plane and in Space
Boolean Algebra
Can Machines Think?
Cyclic Numbers
Eccentric Chess and Other Problems
Fibonacci and Lucas Numbers
The Rotating Round Table and Other Problems
Solar System Oddities
Mascheroni Constructions
The Abacus
Palindromes: Words and Numbers
Dollar Bills

Wheels, Life and Other Mathematical Amusements

Diophantine Analysis and Fermat's Last Theorem
The Knotted Molecule and Other Problems
Alephs and Supertasks
Nontransitive Dice and Other Probability Paradoxes
Geometric Fallacies
The Combinatorics of Paper Folding
A Set of Quickies
Ticktacktoe Games
Plaiting Polyhedrons
The Game of Halma
Advertising Premiums
Salmon on Austin's Dog
Nim and Hackenbush
Golomb's Graceful Graphs
Charles Addams' Skier and Other Problems
Chess Tasks
Slither, 3X+1, and Other Curious Questions
Mathematical Tricks with Cards
The Game of Life, Part I
The Game of Life, Part II
The Game of Life, Part III

Knotted Doughnuts and Other Mathematical Entertainments

The Binary Gray Code
Bacon's Cypher
Doughnuts: Linked and Knotted
The Tour of the Arrows and Other Problems
Napier's Bones
Napier's Abacus
Sim, Chomp and Racetrack
Crossing Numbers
Point Sets on the Sphere
Newcomb's Paradox
Reflections on Newcomb's Paradox
Reverse the Fish and Other Problems
Look-See Proofs
Worm Paths
Waring's Problems
Cram, Bynum and Quadraphage
The I Ching
The Laffer Curve

Time Travel and Other Mathematical Bewilderments

Time Travel
Hexes and Stars
Tangrams, Part 1
Tangrams, Part 2
Nontransitive Paradoxes
Combinatorial Card Problems
Melody-Making Machines
Anamorphic Art
The Rubber Rope and Other Problems
Six Sensational Discoveries
The Csaszar Polyhedron
Dodgem and Other Simple Games
Tiling with Convex Polygons
Tiling with Polyominoes, Polyiamonds, and Polyhexes
Curious Maps
The Sixth Symbol and Other Problems
Magic Squares and Cubes
Block Packing
Induction and Probability
Catalan Numbers
Fun With a Pocket Calculator
Tree-Plant Problems

Penrose Tiles to Trapdoor Ciphers

Penrose Tiling I
Penrose Tiling II
Mandelbrot's Fractals
Conway's Surreal Numbers
Back from the Klondike and Other Problems
The Oulipo
The Oulipo II
Wythoff's Nim
Pool-Ball Triangles and Other Problems
Mathematical Induction and Colored Hats
Negative Numbers
Cutting Shapes into N Congruent Parts
Trapdoor Ciphers
Trapdoor Ciphers II
The New Eleusis
Ramsey Theory
From Burrs to Berrocal
Sicherman Dice, the Kruskal Count and Other Curiosities
Raymond Smullyan's Logic Puzzles
The Return of Dr. Matrix

Fractal Music, Hypercards, and More

White, Brown, and Fractal Music
The Tinkly Temple Bells
Mathematical Zoo
Charles Sanders Pierce
Twisted Prismatic Rings
The Thirty Color Cubes
Egyptian Fractions
Minimal Sculpture
Minimal Sculpture II
Tangent Circles
The Rotating Table and Other Problems
Does Time Ever Stop? Can the Past be Altered?
Generalized Ticktacktoe
Psychic Wonders and Probability
Mathematical Chess Problems
Douglas Hofstadter's Goedel, Escher, Bach
Imaginary Numbers
Pi and Poetry: Some Accidental Patterns
More on Poetry
Packing Squares
Chaitin's Omega

Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications

The Wonders of the Planiverse
Bulgarian Solitaire and Other Seemingly Endless Tasks
Fun with Eggs, Part I
Fun with Eggs, Part II
The Topology of Knots
M-Pire Maps
Directed Graphs and Cannibals
Dinner Guests, Schoolgirls, and Handcuffed Prisoners
The Monster and Other Sporadic Groups
Taxicab Geometry
The Power of the Pigeonhole
Strong Laws of Small Primes
Checker Recreations, Part I
Checker Recreations, Part II
Modulo Arithmetic and Hummer's Wicked Witch
Lavinia Seeks a Room and Other Problems
The Symmetry Creations of Scott Kim
Non-Euclidean Geometry
Voting Mathematics
A Toroidal Paradox and Other Problems
Minimal Steiner Trees
Trivalent Graphs, Snarks, and Boojums

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Next: About this document

Carl Lee
Mon Sep 14 12:23:07 EDT 1998