**Carl 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.com
**

This is a crude index to fifteen books containing collections of Martin Gardner's articles from Scientific American. References are to chapters, not pages. I have found his articles invaluable in gathering interesting material to supplement ``standard textbook stuff.'' In fact, I believe one reason I am in mathematics today is that I began reading Gardner's books and articles in Junior High School and High School. Browse and enjoy! Carl Lee

Modified by Charles Kluepfel to add books G12-G15 and to interleave the 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 Mystifications

11030 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

Mon Sep 14 12:26:00 EDT 1998