Gardner Index    Next: About this document Gardner IndexCarl W. Lee Department of Mathematics University of Kentucky Lexington, KY 40506 lee@ms.uky.edu Charles Kluepfel 11 George Street Bloomfield, NJ 07003 ChasKlu@aol.comCopyright (C) 1997 Abstract:This is a crude index to fifteen books containing collections of MartinGardner's articles from Scientific American. References are tochapters, not pages. I have found his articles invaluable ingathering interesting material to supplement ``standard textbookstuff.'' In fact, I believe one reason I am in mathematics today isthat I began reading Gardner's books and articles in Junior HighSchool and High School. Browse and enjoy! Carl LeeModified by Charles Kluepfel to add books G12-G15 and to interleavethe index of lower case and upper case entries.Also, books G4 and G5 have been interchanged since the last index.G1 -- The Scientific American Book of Mathematical Puzzles and Diversions G2 -- The Second Scientific American Book of Mathematical Puzzles and Diversions G3 -- New Mathematical Diversions from Scientific American G4 -- The Unexpected Hanging and Other Mathematical Diversions G5 -- The Incredible Dr. Matrix G6 -- Sixth Book of Mathematical Games from Scientific American G7 -- Mathematical Carnival G8 -- Mathematical Magic Show G9 -- Mathematical Circus G10 -- Wheels, Life and Other Mathematical Amusements G11 -- Knotted Doughnuts and Other Mathematical Entertainments G12 -- Time Travel and Other Mathematical Bewilderments G13 -- Penrose Tiles to Trapdoor Ciphers G14 -- Fractal Music, Hypercards, and More G15 -- Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications11030 problem, G10 8 1729, G11 16 3X+1 problem, G10 18 7-13-28 problem, G11 15 a=3Db+c fallacy, G1 14 abacus, G9 18 absent minded teller problem, G2 14 abutting cubes problem, G10 8 acquaintance chains, G11 1 acrostics, G5 9; G8 6 acute dissection problem, G3 3 Addams' skier problem, G10 16 addition problem, G10 12 advertising premiums, G10 12 age of Greek problem, G9 15 age problems, G5 3; G10 8 aleph null, G7 3; G10 4 aleph one replicable problem, G7 3 aleph one, G7 3; G10 1,4 alphabet block problem, G6 8 alphabet circle, G2 20; G5 1,3 ambiguous dates problem, G10 8 amicable numbers, G8 12 amorous bugs problem, G1 12; G4 9; G6 24 anagram dictionary problems, G7 9 anagrams, G3 4; G5 3,7,13,18; G6 15 anamorphic art, G12 8 angel and devil problem, G11 19 angle trisection, G4 9; G7 19; G9 15 antimagic squares, G5 2 apples from basket problem, G8 10 April Fool jokes, G12 10 Archimedean spirals, G4 9 Archimedes' cattle problem, G10 2 Aristotle's wheel paradox, G10 1 arithmetic, finger, G8 8 astroid, G10 1 automorphic numbers, G5 10 Back from the Klondike and other problems, G13 5 Bacon's cipher, G11 4 Baker's solitaire game, G8 7 balloon in car problem, G7 14 band cutting problem, G8 10 barber problem, G10 8 barometer problem, G8 10 Barr's belt problem, G3 3 bathtub boat problem, G7 14 Beelzebub problem, G10 7 beer signs on the highway problem, G3 12 bell numbers, G14 2 bells, temple, G14 2 betting game, G9 6 Biblical enigmas, G5 18 Biblical numerology, G5 18 Biblical rebus, G5 18 bicycle paradox, G7 14 billiards, G3 15; G6 4,21 bills and two hats problem, G6 12 binary number system, G2 1; G3 1; G11 2,8,20 binary numbers, G1 15 binomial coefficients, G7 15 biorhythms, G7 12 birthday paradox, G1 5, G11 1 bisecting yin and yang problem, G3 12 black, game of, G6 5 blades of grass game problem, G6 20 blank column problem, G10 3 block packing, G12 18 blue empty graph problem, G4 15 blue eyed sisters problem, G3 12 board games, G3 6 Bode's law, G9 16 Boole, George, G9 8 Boolean algebra, G9 8 bordered rectangle problem, G10 2 Borromean rings, G1 7; G4 2 bouncing ball problem, G6 17 bouncing balls in solids, G6 4 bowling-ball pennies problem, G9 11 bracelet problem, G5 12 brachistochrone, G6 13 braided strip trick, G4 6 bridg-it, game of, G2 7; G3 18 bridge hand problem, G8 10 broken stick problem, G2 19 Bronx vs. Brooklyn problem, G1 3 brown music, G14 1 Brussels sprouts, G7 1 Bulgarian Solitaire, G15 2 burrs to Berrocal, G13 18 Bynum's game, G11 19 calculating prodigies, G7 6 calculating tricks, G7 7 calculator, pocket, G12 21 calculus of finite differences, G3 20 can of beer problem, G10 16 canceling knots problem, G11 5 cannonball problem, G7 11 Cantor, G11 4 card magic square problem, G10 8 card matching problem, G9 15 card paradox, G4 1 card problem, G3 14 card problems, G12 6 card shuffles, G7 10 card tricks, G1 10; G2 4; G3 9; G4 5,13; G5 16; G6 11,14; G7 10,13,15; G8 7; G9 11; G10 19 card turning problem, G8 7 cardinal numbers, G8 1 cardioid, G10 1 Carroll's carriage problem, G7 14 Carroll, Lewis, games and puzzles of, G3 4 Casey at the bat problem, G6 20 casting out nines, G2 4 Catalan numbers, G12 20 catch questions, G4 20; G7 2 catenary, G4 3 caustics, G10 1 cellular automata, G10 20, 21, 22 center the cork problem, G7 14 Chaitin's omega, G14 21 change making problem, G6 3 checker learning machines, G4 8 checker problem, G7 15 checkers, 4x4, game of, G4 8 checkers, G15 13,14 checkers, game of, G3 6 cheesecake slicing problem, G3 20 cheskers, game of, G8 14 chess learning machines, G4 8 chess problems, G4 16; G7 17; G10 17 chess problems, mathematical, G14 15 chess, game of, G3 6 chessboard covering problems, G4 16 chessboard cutting problems, G4 16 chicken wire trick, G11 6 children's ages problem, G10 3 Chinese rings puzzle, G1 6; G11 2 chomp, game of, G11 9 chord problem, G2 19 Christmas and Halloween problem, G8 5 Christmas message problem, G2 1 cigar placing game, G3 18 ciphers, trapdoor, G13 13,14 circle and hexagons problem, G10 8 circle and spots problem, G9 14 circle on the chessboard problem, G2 5 circle tangents problem, G8 10 circled numbers problem, G7 17 circles, tangent, G14 10 circular chessboard problem, G6 24 clairvoyance test, G5 16 clock dissection problem, G7 17 clock, game of, G8 17 cocircular points problem, G7 9 cocktail cherry problem, G8 5 coconut problem, G2 9; G10 2 coffee and cream paradox, G2 13 coiled hose problem, G7 14 coin game problem, G6 20 coin placing game, G3 18 coin tricks, G6 8 coincidence, G11 1 coins of the realm problem, G6 12 Coleridge's apples problem, G6 20 collating the coins problem, G3 19 colliding missiles problem, G2 5 color cubes, thirty, G14 6 color scheme card trick, G10 19 color tower game, G3 16 colored bowling pins problem, G4 7 colored hat problem, G2 11 combinations, G8 4 combinatorial card problems, G12 6 combinatorial theory, G6 3 combinatorics, G15 8 commemorative stamps, G6 23 compass and straightedge constructions, G9 17 complex fraction problem, G5 18 Compton tube problem, G7 14 congruent parts, cutting shapes into n, G13 12 congruent triangles, G9 5 connecto, game of, G9 2 constructible polygons, G3 17 continuum hypothesis, G7 3; G10 4 continuum, G10 4 Conway's surreal numbers, G13 4 cord and ring puzzle, G2 7 cork plug problem, G2 5 counter problem, G7 17 counterfeit coins problem, G1 3; G6 11 counting, G8 8 covering sphere with arcs problem, G11 12 Coxeter, H.S.M., G3 17 cram, game of, G11 15,19 crescent moon slicing problem, G3 20 cross stich curve, G6 22 cross the network problem, G1 12 crosscram, game of, G11 19 crossed cylinders problem, G4 15 crossed ladders problem, G9 5 crossing curves problem, G10 8 crossing numbers, G11 11 crossing the desert problem, G2 14 crossword problem, G8 10 crowning the checkers problem, G10 16 cryptarithms, G2 20; G4 15; G5 1,7,13,18; G6 6; G8 8,15; G9 11; G10 8 cryptography, G11 4 Csaszar polyhedron, G12 11 cube coloring problem, G3 20 cube cross section problem, G4 12 cube dissection problems, G8 10; G11 16 cube folding problems, G3 5; G7 4 cube skeleton problem, G10 8 cube through cube problem, G7 4 cubes in cubical chessboard problem, G11 16 cubes, thirty color, G14 6 cubical network problem, G2 1 cubing the cube, G2 17; G6 22 curious set of integers problem, G8 15 curve fitting, G9 14 curves of constant width, G4 18 cutting shapes into n congruent parts, G13 12 cutting the cube problem, G1 3 cyclic numbers, G9 10 cycloid, G6 13; G10 1 day of the week calculation, G7 7 de Bruijn sequences, G11 4 De Morgan's laws, G9 8 decimal point, G11 7 deltoid, G10 1 diabolical cube puzzle, G11 3 dice problems, G8 18 dice tricks, G2 1,13; G8 18 dice, G8 18 die game, G2 4 digit placing problem, G4 7 digit problems, G3 19 digital roots, G2 4 digits problem, G5 17 Diophantine equations, G2 9; G10 2 directed graphs, G15 7 dissecting a triangle into a square, G2 3 dissections, G2 3; G3 5; G4 4; G7 17; G10 18; G11 16 dividing the cake problem, G2 14 divisibility by seven trick, G4 14 divisibility problems, G4 14 divisibility tests, G4 14 divisor game, G11 9 divisor problem, G5 14 dodecahedron quintomino problem, G10 3 Dodgem and other simple games, G12 12 Dodgson, Charles L., G3 4 dollar bill and paper clips trick, G6 14 dollar bill rabbit, G10 7 dollar bill tricks, G9 20 dollar bills, G9 20 domino placing game, G3 18 dominoes, G9 12,13 don't mate in one problem, G3 19 donkey puzzle, G1 9; G10 12 dots and squares, G2 7 double acrostics, G8 6 double stalemate problem, G10 17 doublets, G3 4 doughnuts, knotted and linked, G11 5 Dr. Matrix, G13 21 dragon curves, G8 15 draw poker problem, G1 3 Dudeney, Henry Ernest, England's greatest puzzlist, G2 3 e and pi problem, G4 3 e and Stirling's formula, G8 4 e, G1 10; G4 3; G10 18 e, memorizing, G1 11; G4 3 eagle problem, G7 17 early commuter problem, G1 3 earring problem, G8 10 eccentric chess problem, G9 11 economics, G11 21 Eddington's logic problem, G2 11 efficient electrician problem, G1 12 egg in bottle problem, G7 14 egg standing up problem, G7 18 eggs, G15 3,4 Egyptian fractions, G14 7 Eigen, Victor, mathemagician, G3 9 eight block puzzle, G6 20 eight queens problem, G4 16 eight triangles problem, G9 15 Eleusis, New, G13 16 eleusis: the induction game, G2 15; G9 4 elevator paradox, G11 10 elevator problems, G11 10 elevator sorting problems, G11 10 eliza, G9 9 ellipses, G3 15; G7 18 ellipsoids, G3 15; G7 18 empty set, G8 1,2; G10 4 endless tasks, G15 2 epicycloids, G10 1 equal pile problem, G9 11 equiangular spirals, G4 9 Escher, Maurits C., G3 17; G6 22; G7 8; G8 9 Euler trails, G1 12; G2 7; G6 10 everything, G8 19 extraterrestrial communication, G6 25 factorials, G8 4 fair division problem, G8 5 fallacies, G1 14; G10 6 false assertions problem, G8 10 families in fertilia problem, G8 5 Farey fractions, G7 3 farm animal problem, G10 2 farmer's animals problem, G9 15 fault free rectangles, G3 13 Fermat's last theorem, G10 2,8 Fibonacci nim, game of, G9 13 Fibonacci notation, G11 8 Fibonacci numbers, G2 8; G4 9; G6 1; G7 11,15; G9 10,13; G11 8 Fibonacci, G9 13 fifteen game, G7 16 fifteen puzzle, G1 9 fighting fish problem, G1 9 figurate numbers, G3 7 figures never lie problem, G11 15 find the hexahedrons problem, G3 19 finite projective planes, G3 14 first black ace problem, G10 3 fishy problem, G7 14 five congruent polygons problem, G10 3 five couple handshaking problem, G11 6 five letter word problem, G10 8 five match cube problem, G8 10 five poker hand problem, G8 7 fixed point theorem problem, G3 19 flatcar problem, G4 12 flatlands, G4 6,12 flexagons, hexa-, G1 1 flexagons, tetra-, G2 2 flexatube, tetra-, G2 2; G10 7 flexible band problem, G10 16 Fliess, Wilhelm, G7 12 flight around the world problem, G2 5 fly and honey problem, G2 3 fly in coffee problem, G8 10 fly on icosahedron problem, G2 1 focus, game of, G6 5 folded sheet problem, G2 14 forced number trick, G5 7 fork in the road problem, G1 3 form a swastika problem, G6 20 forming triangles with lines problem, G3 20 four card problem, G10 5 four circle problem, G6 10 four color map theorem, G3 10; G11 11 four fours problem, G5 5 four letter word problem, G10 8 four schoolhouses problem, G11 11 four triangle theorem, G9 5 fourth dimension, G4 6; G7 4 foxholes, game of, G8 3 fractal music, G14 1 fractals, G13 3 fractions, Egyptian, G14 7 free will, G11 13,14 Friday the thirteenth, G5 13 frieze patterns, G10 16 functional fixedness, G11 15 Gallup, Elizabeth Wells, G11 4 gambler's ruin, G9 6 gambling, G4 5; G9 6 game learning machines, G4 8 game of googol problem, G3 3 game of hip problem, G3 12 game theory, G8 3 games, G9 4 games, two-person, zero-sum, G8 3 Gaullist cross problem, G2 8 gcd and lcm problem, G10 8 gear paradox, G6 20 Genaille's rods, G11 7 geometrical fallacies, G10 6 get off the earth paradox, G1 9; G5 3; G10 12 glide symmetry, G10 16 go-moku, game of, G1 4; G10 9 Godel, Escher, Bach, G14 16 going on a trip game, G2 15 gold links problem, G6 6 Golomb rulers, G10 15 Graeco-Latin squares, G3 14 graph theory, G6 10; G8 17; G11 11 graphs, graceful, G10 15 graphs, harmonious, G10 15 grasshopper, game of, G10 11 Gray code, G1 6, G11 2 greatest common divisor device, G6 21 group theory and braids, G3 2 groups, G15 9 Grundy numbers, G7 16 guess it, game of, G8 3 guess the diagonal problem, G1 12 gunport problem, G11 15 hackenbush, game of, G10 14 half baked number problem, G5 7 halma, game of, G3 18; G10 11 halving and quartering cubes, G4 16 ham sandwich theorem, G2 13 Hamilton circuits, G1 6; G6 10 Hamilton paths, G11 2 hamstrung squad car game, G7 16 handshakes and networks problem, G2 5 harmonic series, G6 17 helical toy, G6 1 helix problem, G6 1 helix, G6 1 Hempel's paradox, G1 5 heptacubes, G11 3 Heron's formula, G9 5 heteroliteral problems, G5 15 hex, game of, G1 8 hexacubes, G11 3 hexapawn, game of, G4 8 Hexes and Stars, G12 2 Hilbert's tenth problem, G10 2 hit-and-run, game of, G9 2 Hofstadter, Douglas, G14 16 hole in the sphere problem, G1 12 hollow moon problem, G7 14 hollow square problem, G5 18 honest numbers, G5 7; G10 18 hot, game of, G7 16 house number problem, G6 23 house placement problem, G4 20 how did Kant set his clock problem, G3 19 how far did the Smiths travel problem, G4 7 how long is a lunar problem, G3 3 how many children problem, G1 12 how many spots problem, G8 15 how old is the rose red city problem, G3 12 hula hoop problem, G10 1 hyperbolas, G13 15 hypercubes, G7 4 hypercubic chessboard problem, G9 3 hypersperes, G9 3 hypocycloids, G10 1 I Ching, G11 20 i fallacy, G1 14 i, G4 3 icosian game, G1 6 imaginary numbers, G14 17 induction and probability, G12 19 induction, G9 4 induction, mathematical, G13 10 inertial drive problem, G7 14 infinite regress, G6 22 infinite series, G6 17 infinitesimal numbers, G8 1 infinity hotel fallacy, G1 14; G7 3 infinity, G7 3 inside out paper bag problem, G2 2 inside out torus fallacy, G1 14, G11 5 instant insanity puzzle, G8 16 integral brick problem, G10 2 intelligent horse problem, G10 8 interest, G4 3 interlocking curves, G1 7 internal bisector theorem, G3 17 interrupted bridge game problem, G8 15 intersecting bisector problem, G4 20 intersecting circles problem, G3 20 intersecting ellipses problem, G3 20 intersecting spheres problem, G3 20 inversion geometry, G6 24 inverted year problem, G5 13 invertible drawings, G4 10 invertible numbers, G4 10 invertible year problem, G5 15 involutes, G4 9; G6 13 iron torus problem, G7 14 irrational probabilities problem, G11 15 isochrone, G6 13 isomorphic games, G7 16 isosceles area problem, G10 8 isosceles triangle fallacy, G10 6 Jacob's ladder, G2 2 jam, game of, G7 16 Kakeya needle problem, G4 18 kayles, game of, G7 16 Kepler's model of solar system, G9 16 key and the keyhole problem, G7 9 kill squares and rectangles problem, G7 9 Kim, Scott, G15 17 king and knight chess problem, G10 8 kissing circles, G3 17; G9 3 Klein bottle cutting problem, G6 2 Klein bottle, G1 7; G6 2 knight exchanging problem, G2 3 knight problems, G8 14,15 knight's tour problems, G6 10; G9 15 knight's tours, G6 10; G8 14 knockout geography game, G9 11 knot game, G10 18 knot the rope problem, G8 5 knots, G1 16; G4 2; G11 5; G15 5 knotted band trick, G4 6 knotted molecule problem, G10 3 knotted string problem, G10 8 Kobon triangles problem, G10 16 Koenigsberg bridges problem, G2 7; G6 10,23 Kruskal count, G13 19 lady on the lake problem, G7 9 lady or the tiger problem, G4 7 Laffer curve, G11 21 Langford's problem, G8 5 Latin squares, G3 14; G6 3 lattice of integers, G6 21 Lavinia seeks a room and other problems, G15 16 left or right?, G1 16 letter sequences, G2 20; G5 1 letter wheel trick, G6 14 life, game of, G10 20, 21, 22 liquid pouring problems, G6 4 Littlewood's footnotes problem, G4 15 logarithmic spiral, G2 8; G4 9; G6 24 logarithms, G11 7 logic computer, G3 1 logic problem, G5 7 logic puzzles, G13 20 logic, G9 8 logic, recreational, G2 11 lonesome 8 problem, G2 14 look-see proofs, G11 16 loony loop puzzle, G11 2 Lord Dunsany's chess problem, G2 14 loxodrome, G4 9; G10 13 Loyd's chess problem, G1 9 Loyd, Sam, America's greatest puzzlist, G1 9 Lucas numbers, G9 13 lunar bird problem, G7 14 lunch at the TL club problem, G8 5 M-Pire maps, G15 6 magic division square, G5 5 magic hexagon problems, G6 3 magic multiplication square, G5 5 magic numbers, G9 18 magic octahedra, G2 1 magic polyhedra, G7 5 magic pyramid, G5 17 magic squares and cubes, G12 17 magic squares, G2 12; G6 3,9; G8 14; G9 10,12; G10 7 magic stars, G7 5 magic subtraction square, G5 5 magic tetrahedra, G6 19 magic tricks, G3 9; G4 13; G5 16; G6 14 magic with a matrix, G1 2; G5 16 magnet testing problem, G7 14 maharajah, game of, G3 6 Mandelbrot's fractals, G13 3 manhole cover problem, G10 8 map coloring problem, G10 18 map coloring problems, G3 10 map coloring, G15 6 map folding problems, G10 7 maps, G12 15 marching cadets and a trotting dog problem, G3 3 Markov chains, G9 6,7 Markov processes, G9 7 Mascheroni constructions, G9 17 match on edge trick, G4 13 match tricks, G9 2 matching cards problem, G1 10; G4 3 mathematical induction and colored hats, G13 10 Matrix, Dr. G13 21 maximum attack chess problems, G4 7 maximum capture chess problem, G10 17 maximum chess moves problem, G6 6; G10 17 maximum placement chess problems, G4 16; G8 12; G10 8,17 maximum root problem, G4 3 mazes, G2 10 melody-making machines, G12 7 melting ice cube problem, G7 14 memorizing numbers, G1 11 Mersenne numbers, G6 9; G7 15; G8 12 metal sheet problem, G8 10 Midy's theorem, G9 10 Mikusinki's cube puzzle, G11 3 military game, G6 5 million points problem, G7 9 mind reading cards trick, G3 1 minimal area problem, G2 13 minimal sculpture, G14 8,9 minimum attack chess problems, G4 7; G8 12; G10 17 minimum chess move problem, G10 17 mirror image spiral trick, G4 9 mirrors, G1 16 mismatched envelope problems, G4 3; G6 23; G8 10 mismatched hat problem, G4 3 missing digit problem, G8 4 missing dollar problem, G8 10 missing pie slice problem, G4 10 modular arithmetic, G2 4 modulo arithmetic, G15 15 Moebius band folding problem, G6 6 Moebius band graph problem, G8 9 Moebius band, G1 7; G3 4,17; G4 2; G6 2; G8 9 monkey and the coconuts, G2 9; G10 2 monochromatic chess problem, G11 15 monster, and other sporadic groups, G15 9 moon base problem, G5 13 Morley's triangle theorem, G3 17 motion converters, G4 9 moving shadow problem, G7 14 mutilated chessboard problem, G1 3; G4 16 n-card monte, G10 5 Napier's abacus, G11 8 Napier's bones, G11 7 Napier, John, G11 7 necklace problem, G3 20 necktie fallacy, G1 14 negative bases, G11 8 negative numbers, G13 11 nephroid, G10 1 nesting squares problems, G6 17 network game, G3 2 Newcomb's paradox, G11 13,14 nickel on edge trick, G4 13 nim, game of, G1 15; G7 16; G10 14 nimbi, game of, G1 15; G11 19 nine digit problem, G10 16 nine-point circle, G9 5 non-Euclidean geometry, G15 19 nonconservation of area fallacies, G1 14; G2 8; G3 11 nonconvex polyhedron problem, G10 10 nontransitive paradoxes, G12 5 nontransitivity paradoxes, G6 3; G10 5 nothing, G8 1,2 null set, G8 1,2; G10 4 number base problem, G10 8 number bases, natural, G8 8 number names problem, G5 15 number of books problem, G10 8 number of routes problem, G8 4 number sequence problems, G5 7; G7 13; G8 10; G10 18; G11 1 number writing problem, G8 10 numbers in a vase paradox, G3 11 numerology, G2 20; G5; G7 12 obtuse angle fallacy, G10 6 oil and vinegar problem, G7 14 oil and water card trick, G10 19 omega, Chaitin's, G14 21 one million problem, G10 8 op art, G6 24 optical illusions, G9 1 origami, G2 16; G10 7 othello, game of, G3 6 Oulipo, G13 6,7 overlapping squares problem, G8 5 packing spheres, G3 7 packing squares, G14 20 palindromes, G1 16; G5 7; G6 15; G9 19 pancake slicing problem, G3 20 paper cutting, G3 5 paper folding and geometry, G2 16; G10 10 paper folding tricks, G10 7 paper folding, G10 7 papered cube problem, G8 5 parabolas, G15 18 parallel postulate fallacy, G10 6 parallelogram fallacy, G10 6 parity checks, G6 8 parrot problem, G8 10 Pascal's triangle, G7 15 Pascal's wager, G10 5 past, alteration of, G14 12 pattern guessing game, G2 15 patterns, game of, G9 4 peg puzzles, G2 18; G4 11; G7 2 Peirce, Charles Sanders, G14 4 pencil and buttonhole puzzle, G10 12 penny bet problem, G6 6 penny problems, G7 2 Penrose tiling, G13 1,2 pentacubes, G11 3 pentagon problem, G10 8 pentatope, G6 19 pentomino farms problems, G11 6 pentomino game, G8 13 pentomino problems, G3 19; G11 3,6 perfect numbers, G7 15; G8 12 perfect square problem, G9 15 permutations, G8 4 perpendicular bisector problem, G10 18 perverse months, G5 13 phi pyramid, G5 17 phi, golden ratio, G2 8; G4 9; G9 13 Phillips curve, G11 21 physics problems, G7 14 pi and poetry, G14 18 pi and Stirling's formula, G8 4 pi fallacy, G10 6 pi in the Bible, G5 18 pi pyramid, G5 17 pi, G3 8; G4 3; G5 6,8; G7 6; G10 18 pi, memorizing, G1 11 Pick's area theorem, G6 21 pied numbers problem, G10 3 pigeonholes, G15 11 planar graphs, G6 10 plane in the wind problem, G3 3 Planiverse, G15 1 Platonic solids, five, G2 1; G10 10 playing twenty questions when probability values are known problem, G3 19 pocket calculator, G12 21 poetry, G14 19 Pohl's proposition, G9 11 point sets on the sphere, G5 13; G11 12 poisoned glass problem, G7 9 polyaboloes, G8 11 polycubes, G11 3 polyhedra coloring problems, G10 10 polyhedra, folding, G10 10 polyhexes, G8 11 polyiamonds, G6 18,24 polyominoes, G1 13; G3 13; G6 18,24; G8 11,13,15 polypower problems, G11 6 pony puzzle, G10 12 Pool-Ball triangles and other problems, G13 9 postman problems, G6 23 predicting a finger count problem, G4 7 predicting the future trick, G3 11 prime number formula problem, G4 20 prime number generators, G6 9 prime numbers, G6 9 prime problems, G6 9 primes, G15 12 primeval snake problem, G10 8 printed circuit problems, G6 10 prismatic rings, twisted, G14 5 prison cell problems, G5 3 prisoners and warden problem, G2 19 probability and ambiguity, G2 19 probability, G12 19; G14 14 probability paradoxes, G1 5; G10 5; G11 1 probability, G8 4; G10 5 product problem, G5 7 professor on the escalator problem, G2 14 projections, map, G12 15 projective plane, G6 2 psychic wonders, G14 14 punch card sorting, G3 1 pursuit games, G7 16 puzzles, mechanical, G2 18 pyramidal numbers, G3 7; G7 11 pyramids, G5 17 Pythagorean square puzzle, G10 12 Pythagorean theorem, G3 5; G6 16; G10 2; G11 16 quadraphage, game of, G11 19 queen's tour problems, G6 12 quickies, G9 15; G10 8 race track, game of, G11 9 Ramanujan, G11 16 Ramsey theory, G13 17 Ramsey theory, G4 15 random numbers problem, G4 3 random numbers, G7 13 random walks, G9 6,7 ranking weights problem, G6 12 rational sided triangle problem, G3 4 Reagan, Ronald, G11 21 rectangle and the oil well problem, G6 12 rectangles on chessboard problem, G11 16 red black card trick, G10 19 red faced cube problem, G7 9 reflections, G4 10 relativity paradox, G3 11 rep-tiles, G4 19 repeating decimals, G5 3 repetitious number problem, G2 5 resevoir problem, G4 20 returning explorer problem, G1 3; G7 17 Reuleaux triangles, G4 18 reverse the fish problem, G11 15 reversed trousers problem, G6 20 rice on chessboard problem, G8 12 ridiculous questions, G8 10 right triangle problems, G6 16 rigid square problem, G6 6 rings, twisted prismatic, G14 5 rising hourglass problem, G7 14 rolling railroad car problem, G6 13 rook's tour problem, G7 17 room number problems, G5 6,14 rope and handkerchief trick, G4 13 rope and island problem, G10 8 rotating disk problem, G10 16 rotating round table problem, G9 15 rotating table, G14 11 rotation of moon, G9 16 rotation problem, G4 18 rotations, G4 10 rotors, G4 18 roulette, G4 5 RSA algorithm, G13 13,14 rubber rope and other problems, G12 9 ruler problem, G5 6; G10 15 Saint Petersburg paradox, G1 5 scrambled box tops problem, G1 3 scrambled quotation problem, G10 3 sculpture, minimal, G14 8,9 second ace paradox, G1 5 second child paradox, G1 5 self replicating number problem, G5 6 semimagic squares, G8 14 sequence looping problem, G10 18 series paradoxes, G3 11; G6 17 set theory, G8 19; G9 8 seven file cards problem, G4 15 severed head trick, G4 10 shapes, cutting into n congruent parts, G13 12 sheep and goats problem, G10 7 shoebox house problem, G6 8 shoelace, pencil and straw trick, G2 7 shortest chessgame problems, G10 17 Sicherman Dice, G13 19 sieve of Eratosthenes, G6 9 sign insertion problems, G4 15; G5 6 sim, game of, G11 9 simplicity, G9 14 single check chess, game of, G9 15 six glass problem, G4 20 six matches problem, G4 7 six story house problem, G10 8 Sixth Symbol and other problems, G12 16 sliced cube problem, G3 12 sliced doughnut problem, G3 12 slicing the doughnut problem, G2 13 sliding block puzzles, G6 7,20; G9 11 sliding match method, G3 5 sliding pennies problem, G2 5 sliding strips problem, G4 5 slither, game of, G10 18 small world problem, G11 1 smothered mate, G5 14 Smullyan, Raymond, G13 20 snowflake curve, G6 22 sociable numbers, G8 12 sock problem, G6 3 solar system, G9 16 solids of constant width, G4 18 soma cube, G2 6; G11 3 sorting problems, G6 11 space-time, G8 19 spelling matrices, G5 12 sphere coloring problem, G11 12 sphere packing problem, G9 3 spheres through pipe problem, G8 10 spheres, G9 3 spherical phials problem, G2 3 spider and fly problem, G2 3 spiral grids, G6 9 spiral optical illusion, G4 9 spirals, G4 9 spirolaterals, G11 17 spot the spot problem, G2 13 sprouts, game of, G7 1 square dissection problems, G4 5; G11 16 square hole drill, G4 18 square in cube problem, G7 4 square packing problems, G7 11 square root of two, G6 8 square trisection problem, G8 10 square-triangle polygons problem, G11 6 squares (numbers), G5 10 squares on chessboard problem, G11 16 squares on quadrilateral theorem, G9 14 squares, packing, G14 20 squaring the square, G2 17; G7 11 squaring the vase problem, G3 8 stacking bricks paradox, G6 17 stamp folding problem, G6 3 stamp placement problem, G6 3 stamps, G6 23 stand problem, G11 15 starting a chess game problem, G10 3 state names problem, G5 15 statistics, G11 1 stealing bell ropes problem, G7 14 Steiner trees, G15 22 Stirling's formula, G8 4 string and scissors problem, G4 17 string patterns, G4 17 string tricks, G4 17 string, G4 17 suicide problem, G4 17 sum and product problem, G10 8 sum of cubes problem, G2 3 sum of fifth powers problem, G10 2 sums of cubes, G5 3; G11 16 sums of squares, G5 2; G7 11; G11 16 supereggs, G7 18 superellipses, G7 18 superellipsoids, G7 18 superqueen problem, G10 8 supertasks, G10 4 supply and demand curves, G11 21 surfaces, G1 7; G4 2; G6 2 surprise gift paradox, G4 1 surreal numbers, G13 4 surreal numbers, G8 1 suspended horseshoe problem, G7 14 swallowing torus problem, G11 5 switching paradox, G7 14 switching problem, G3 12 symbolic logic problem, G10 8 symmetry, G1 16; G4 10; G15 17 T puzzle, G10 12 tablut, game of, G6 5 tac tix, game of, G1 15; G11 19 tangent circles, G14 10 tangloids, game of, G3 2 tangrams, G12 3,4 tangrams, G2 18 tautochrone, G6 13 taxicab geometry, G15 10 telephone number problem, G5 2 temple bells, G14 2 ten cell ticktacktoe, game of, G8 10 ten digit number problem, G9 11 ten digit numbers problem, G10 8 ten soldiers problem, G8 15 ten statements problem, G11 6 tennis match problem, G4 7 termite and 27 cubes problem, G3 12 ternary system, G6 11 tessellations, G3 17; G6 24 tetracubes, G11 3 tetrahedra, G6 19 tetrahedral numbers, G3 7; G7 15 tetrahedron coloring problem, G3 20 tetrahedron problems, G6 19; G8 10 tetrahedron puzzle, G2 1 tetrahedron trick, G6 19 thinking machines, G9 9 thirteen twos problem, G9 15 thirty color cubes, G14 6 Thomson lamp paradox, G10 4 three card problem, G7 9 three coins game, G10 16 three coins problem, G8 15 three cup trick, G6 14 three dimensional maze problem, G6 6 three glass trick, G6 8 three intersecting circles problem, G11 15 three pile card trick, G6 11 three points on sphere problem, G8 10 three squares problem, G9 11 three symbol chain problem, G5 2 three watch hands problem, G6 6 ticktacktoe problems, G10 9 ticktacktoe tricks, G10 9 ticktacktoe, game of, G1 4; G7 16; G10 9 ticktacktoe, generalized, G14 13 tiling with convex polygons, G12 13 tiling with polyominoes, polyiamonds, and polyhexes, G12 14 tilings, G4 19 time discrepancy problem, G8 10 time, G14 12 time the toast problem, G3 19 Time Travel, G12 1 tippy top problem, G4 13 tire rotation problem, G9 15 toothpick constructions, G9 17 toothpick squares problem, G3 20 toothpick triangles problem, G3 20 topological models, curious, G1 7 topology, recreational, G2 7 toroidal paradox, G15 21 torus cutting problem, G6 2 torus, G1 7; G6 2; G11 5 touching cigarettes problem, G1 12 tour of the arrows problem, G11 6 tournament problem, G4 20 tower of Hanoi puzzle, G1 6; G11 2 traffic flow in Floyd's Knob problem, G4 15 transfinite numbers, G8 1 trapdoor ciphers, G13 13,14 tree planting problems, G7 2 tree, spanning, G8 17 tree, Steiner, G8 17 tree-plant problems, G12 22 trees, G8 17 tri-hex, game of, G8 5 triangle dissection problem, G10 18 triangle-hexagon problem, G8 10 triangles, G9 5 triangular duel problem, G2 5 triangular numbers, G3 7; G5 17; G7 15; G8 12; G11 16 tribonacci numbers, G9 13 tricky track problem, G3 12 trimorphic numbers, G5 10 trip around the moon problem, G6 12 triple rings problem, G9 15 trisecting cevians, G9 5 trivalent graphs, snarks and boojums, G15 23 trotting dog problem, G10 8; G10 13 truth telling and lying problems, G2 11; G3 4; G6 20; G8 5; G9 15; G10 8 truthful sentence problem, G4 20 tumble rings, G4 13 Turing game, G9 9 Turing machine, G9 9 turtle graphics, G11 17 twelve matches problem, G1 12 twelve penny trick, G6 14 twenty bank deposits problem, G10 3 twenty-five knights problem, G8 15 twenty-four color squares and the thirty color cubes, G3 16; G8 16 twenty-four color triangles, G8 16 twenty-seven cube problem, G8 16 twiddled bolts problem, G2 5 twisted prismatic rings, G14 5 two and three problem, G10 8 two barber problem, G8 10 two bookcases problem, G11 15 two children problem, G2 14,19 two color maps, G3 10; G6 8 two cube calendar problem, G9 15 two ferryboats problem, G1 12 two games in a row problem, G4 15 two gear problem, G6 9 two hourglass problem, G9 15 two hundred pigeons problem, G7 14 two person string game, G7 16 two poles problem, G4 20 two string problem, G11 15 two symbol chains, G5 2 two trains and a fly problem, G10 13 UN problem, G10 8 uncrossed knight's tours problem, G9 15 und problem, G10 8 uneven floor problem, G11 6 unexpected egg paradox, G4 1 unexpected hanging paradox, G4 1 unexpected spade paradox, G4 1 unexpressible numbers problem, G7 12 uninteresting numbers fallacy, G1 14 universe, G8 19 unstable polyhedron problem, G8 10 urn problems, G9 15 utility problem, G6 10; G11 11 vanishing leprechaun paradox, G10 12 Venn diagrams, G8 19; G9 8 Venusian number base problem, G8 8 von Aubel's theorem, G9 14 voting paradox, G6 3 voting, G15 20 Waring's problems, G11 18 water and wine mixing problem, G1 10; G2 14 weather problem, G10 8 weighing problems, G6 11; G9 11 what price pets problem, G3 3 wheel problem, G10 1 wheels, G10 1 where was the king problem, G11 6 white music, G14 1 white, black and brown problem, G3 3 who's behind the mad hatter problem, G11 15 wild ticktacktoe, game of, G6 12; G10 9 wild toetacktick, game of, G10 9 Wilson's theorem, G8 4 word guessing game, G9 15 word play, G3 4; G5 18; G6 15 word squares, G6 6,12 worm paths, G11 17 worth of gold problem, G7 14 Wythoff's Nim, G13 8 Zeno's paradoxes, G6 17; G10 4,13 zoo, mathematical, G14 3 About this document ... Next: About this document Carl Lee Mon Sep 14 12:26:00 EDT 1998 |
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