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Hexaflexagons, Probability Paradoxes, and the Tower of Hanoi

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  • 1 b/w illus.
  • Page extent: 208 pages
  • Size: 216 x 138 mm
  • Weight: 0.24 kg

Paperback

 (ISBN-13: 9780521735254)

Hexaflexagons, Probability Paradoxes, and the Tower of Hanoi
Cambridge University Press
9780521756150 - Hexaflexagons, Probability Paradoxes, and the Tower of Hanoi - Martin Gardner’s First Book of Mathematical Puzzles and Games - By Martin Gardner
Index

Index

Addition table, 16, 18

Algebraic paradox proof, 159

Allen, Ralph W., 163

Antimatter, 177

Assignment problems, 22

Atkinson, M. D., 71

Babbage, Charles, 42

Bach's Die Kunst der Fuge, 180

Barnert, Alan, 40

Barnum, P. T., 96

Beck, Anatole, 91

Benjamin, H. D., 145

Berlekamp, Elwyn, 175

Bernoulli, Daniel, 51

Binary numbers, 67, 166, 167, 168

Birthday probability paradox, 48, 54

Borromean rings, 79

Bouton, Charles Leonard, 166

Bouwkamp, C. J., 152, 153

Bridg-it, 91

Bronx vs. Brooklyn puzzle, 26

Browning, Robert, 179

Brueggemann, Harry, 145

Buell, D. N., 131

Burks, Arthur W., 100

Calendar page trick, 21

Campbell, John W., 135

Card trick, 109, 111, 112

Carroll, Lewis, 116

Caswell, Robert, 174

Chandra, Ashok, 70

Chapman, Seville, 173

Chess problem, 95, 96

Chess Strategy, 95

Children, number of, problem, 126, 136

Coin weighing puzzle, 27

Coltharp, C. D., 174

Combinatorial geometry, 147

Condon, Edward U., 170

Conway, John, 13, 175

Counterfeit coins puzzle, 27

Crichton, Willison, 31

Crowe, D. W., 63, 67

Cube cutting puzzle, 26

Cube tiling problems, 152, 153

Curry rectangles, 164

Curry triangle paradox, 159, 160, 164

Curry, Paul, 159

Cyclopedia of Puzzles, 98, 104

Darby, Paul, 174

Dawson, T. R., 141

Decahexaflexagon, 5, 9

Diagonal of rectangle problem, 123, 129

Dice, forms of, 181, 182

Dodecahedron puzzle, 63

Dodecahexaflexagon, 9

Draw poker puzzle, 24

Duahexaflexagon, 9

Dudeney, Henry, x, 70, 106, 141

Dudley, Richard, 174

e, 113

e, remembering digits of, 116, 121

Early commuter puzzle, 26

Einstein, Albert, x

Electrician problem, 123, 129

Elmsley, Alex, 114

Elsdon-Dew, R., 131

Engle, Dave, 164

Enneahexaflexagon, 9

Epstein, R. A., 56

Escher, George, 101

Escher, Maurits, 101, 103

Evans, Ronald, 91

Existence proof, 85

Ferryboats problem, 123, 128

Feynman, Richard P., 3, 6, 12

Fighting fish puzzle, 100, 103

Fletcher, J. G., 130

Flexagon, 1

Ford, Jr., L. R., 34

Ford, Lester R., 136

Fork in the road puzzle, 25

Foster, Charles C., 29

Four bugs problem, 126, 135

Fourteen-fifteen puzzle, 96, 97, 98, 100, 101, 104, 105

Fraenkel, Aviezri, 175

Fulkerson, D. R., 34

Fulves, Karl, 114

Furst, Bruno, 120

Gale, David, 92

Game theory, 37

Gamow, George, 48

Gannett, Danforth K., 131

Gerber, Herman, 174

Get off the earth puzzle, 98, 99

Go-bang, 41

Goldstein, Philip, 22

Golomb, Solomon, 137, 140, 146, 147, 148, 152

Go-moku, 41

Gomory, Ralph, 29

Götz, Markus, 153

Graham, Ronald, 70, 132

Gray code, 69, 71

Greene, Joe, 174

Greene, John L., 120

Gridgeman, Norman, 55, 56

Grundy, P. M., 71

Guiteras, Joseph J., 120

Guy, Richard, 175

Haggstrom, Warren C., 29

Hall, William, 174

Hamilton, William Rowan, 63

Hamiltonian circuit, 63, 64, 67

Harary, Frank, 45, 175

Hardy, G. H., 115

Hawthorne, Frank, 33

Heath, Royal V., 12

Hein, Piet, 82, 83, 86, 90, 171, 175

Hempel, Carl G., 52

Hempel's paradox, 52, 54

Heptahexaflexagon, 9

Herda, Hans, 175

Hérigone, Pierre, 116

Hex, 82

Hex machine, 88, 89

Hexaflexagon, 3, 9, 10

Hexahexaflexagon, 3, 5, 11, 13

Hilbert, David, 157

Hill, Robert M., 12

Hinrichs, Ralph, 174

Hole in sphere problem, 126, 134

Hordern, L. E., 105

Horner, D. R., 174

Hotel rooms paradox, 157, 158

Hummer, Bob, 114

Hypercube, 40, 67

Icosian game, 63, 67

Induction, mathematical, 67

Inductive logic, 54

Infinite series, 52

Interesting/uninteresting numbers, 162, 164

James, Stewart, 21

Janzen, H., 30

Jeans, James, 115

Jevons, William Stanley, 54

Jockeys and donkeys puzzle, 96

Jones, Madeline, 12

Jones, Samuel I., 134

Jordan, Charles, 114

Joyce, James, 54

Kant, Immanuel, 179

Katsanis, Theodore, 174

Katz, Louis, 131

Klein bottle, 75, 80

Knowlton, Ken, 132

Knuth, Donald, 70, 71, 132, 181

Kraitchik, Maurice, 20

Lamphiear, Donald E., 31

Leibniz, Gottfried Wilhelm von, 116

Liars and truth-tellers puzzle, 25

Logarithms, memorizing, 117

Lorrayne, Harry, 114

Lowen, R. W., 34

Loyd, Jr., Sam, 94, 98, 104

Loyd, Sam, 94, 104

Lucas, Edouard, 64, 66

Lynch, Mark, 68

Lyons, L. Vosburgh, 159

Mage, David, 120

Magic square, 16

Magic trick with matrix, 16, 20, 22

Manacher, Glen, 70

MANIAC, 141

March graph, 35

Marks, A. A., 174

Martin, George Edward, 152

Matches problem, 125, 132

Matching card coincidence, 110

Maugham, Somerset, 109

Maven, Max, 22, 106

McCarthy, John, 30

McCoy, Alan, 174

Memorizing numbers, 115

Mersenne numbers, 65, 66

Metz, Hugh J., 133

Mill, 39

Milnor, John, 87

Mirror reflections, 177

Mnemonic devices, 115

Moebius band, double, 74, 80

Moebius strip, 6, 8, 73

Mooney, John F., 163

Moore, E. F., 88

Moore, Eliakim H., 171

Moore, George, 162

Moser, Leo, 34, 41

Moser, William, 54

Mulcahy, Colm, 113

Multiplication table, 20

Mutilated chessboard puzzle, 25

Nakashima, Naoaki, 152

Nash, John F., 83, 85, 87, 92

Necktie probability paradox, 161, 164

Network crossing problem, 125, 132

Nicholas, Albert, 8

Nim, 166

Nim playing machines, 170, 171, 173

Nimbi, 175

Number alphabet, 116, 118

Octahexaflexagon, 9

Oliver, Don, 70

Oppenheimer, Robert, 177

Palindromic canons, 179, 180

Palindromic sentences, 179

Palmer, Elton M., 133

Paradox, mathematical, 157

Parity check, 148

Parks, Price, 40

Patashnik, Oren, 44, 70

Patterson, Pat, 104

Peipers, Christine A., 29

Pendus, Les, 39

Pentahexaflexagon, 5, 9

Pentomino game, 146

Pentominoes, 137, 148, 151

Pi, remembering digits of, 115, 117

Piel, Gerard, 13

Polycornoes, 154

Polyomino, 137

Polyomino triplication problem, 144

Pook, Leslie, 12

Presidents date coincidences, 50

Prevost, Edouard, 116

Probability theory, 48

Putzer, Eugene J., 34, 133

Pyramids puzzle, 69

Queen, Ralph, 174

Ramanujan, Srinivasa, 115

Ransom, William R., 49

Rate your mind puzzle, 98

Recreational mathematics, ix

Redheffer, Raymond M., 170

Reizman, Fremont, 131

Rembrandt, 180

Renz, Peter, 22

Returning explorer puzzle, 24

Rex, 91

Reynolds, John, 127

Robinson, Raphael M., 144

Rothenberg, P. L., 174

Ruler, marks on, 68

Russell, Bertrand, 115

Rybicki, George, 127

Sakai, Kayoko, 152

Satten, Robert, 40

Scarne, John, 39, 45

Schaaf, William L., x

Schrödinger, Erwin, 55, 56

Schwartz, Ann, 13

Schwartz, Ela, 13

Schwartz, Martha, 13

Sciama, Dennis, 30

Scorer, R. S., 71

Scott, Dana S., 141

Scrambled box tops puzzle, 26

Second ace paradox, 50, 55

Second child paradox, 50, 57

Shannon, Claude, 88

Shapiro, Charles, 133

Shodell, Mike, 39, 45

Shortz, Will, 104

Silverman, David, 91

Slate, Paul J., 145

Slocum, Jerry, 106

Smith, C. A. B., 71, 175

Sonneveld, Dic, 106

Square roots, memorizing, 118

St. Petersburg paradox, 51

Steinmeyer, Jim, 113

Stephens, James, 54

Stone, Arthur H., 1, 6, 12

Stover, Mel, 21, 80, 104

Surfaces, kinds of, 76, 77

Symmetry/asymmetry, 177, 179

Tac Tix, 171

Tac Tix problems, 173, 174

Taylor, Jr., John Langdon, 183

Teddy and the lions puzzle, 98, 99, 102

Teeko, 39, 45

Teller, Edward, 183

Tesseract, 67

Tetraflexagon, 13

Tetrahexaflexagon, 5, 9

Three men's morris, 39

Ticktacktoe, 37, 43

Ticktacktoe puzzle, 45

Ticktacktoe with counters, 38, 45

Ticktacktoe, three-dimensional, 39

Ticktacktoe-playing machine, 42, 43

Toetacktick, 39

Topology, 73, 80, 81

Torbijn, Pieter, 153

Torus, 74, 80

Torus, inside out paradox, 161, 162, 163

Touching cigarettes problem, 123, 127

Tower of Hanoi puzzle, 63

Treep, Anneke, 153

Triangle hole paradox, 159

Trihexaflexagon, 2, 3, 4

Trost, Nick, 113

Tschirgi, Robert D., 183

Tucker, Joseph B., 144

Tuckerman traverse, 5, 9

Tuckerman, Bryant, 3, 5, 6, 12, 75

Tuckerman, Louis B., 6, 9, 12

Tukey, John W., 3, 6, 12

Turing, A. M., 171

Turner, Stephen, 101

Unahexaflexagon, 8

Uptegrove, Neil, 11

Water and wine puzzle, 110

Weaver, Warren, 117

Weiser, David W., 35

Wellerton, Harry, 69

Whitehead, Alfred North, 55

Whitehead, J. H. C., 55

Widhoff, Gene, 120

Wiener, R. S., 185

Winder, Robert, 86, 91

Word magic trick, 21

Yin-yang symbol, 180




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