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Origami, Eleusis, and the Soma Cube

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  • 7 b/w illus.
  • Page extent: 248 pages
  • Size: 216 x 138 mm
  • Weight: 0.29 kg

Paperback

 (ISBN-13: 9780521735247)

Origami, Eleusis, and the Soma Cube
Cambridge University Press
9780521756105 - Origami, Eleusis, and the Soma Cube - Martin Gardner's Mathematical Diversions - By Martin Gardner
Index

Index

Abbott, Robert, 103, 151

Absent-minded teller problem, 142, 148

Addison, Joseph, 98

Airplane fuel problem, 39, 43

All Five puzzle, 9

Alvarez, Luis W., 225

Alway, G. G., 145

Amusements in Mathematics, 22

Anning, Norman, 94

Ant problem, 29

Antimagic square, 127

Argyle, P. E., 149

Atwater, Thomas, 61

Bach, Johann Sebastian, 224

Ball, W. W. Rouse, 9, 101

Barr, Mark, 77, 85

Barr, Stephen, 85

Bashmakova, Isabella, 95

Beast, number of the, 221

Bedient, Richard E., 214

Bell, Eric Temple, 222

Bellows, George, 83

Berlekamp, Elwyn, 61, 74

Bertrand, Joseph, 206

Bird Cage, 73, 132, 134, 135

Bishop, Sheila, 213

Bolzano's theorem, 133

Bordelon, Derrill, 136

Botermans, Jack, 201

Bouwkamp, C. J., 188, 189

Bragdon, Claude Fayette, 123

Brewer, John, 62

Bridg-it, 72, 75

Brightfield, Rick and Glory, 103

Broken stick probability problem, 204, 210

Brooks, E. E., 8

Brooks, Mrs., 179, 181, 183, 186

Brooks, R. L., 173, 191, 192

Browne, Cameron, 75

Butchart, J. H., 45

Cake division problem, 141, 147, 149

Calculus maxima-minima problem, 163, 167

Canterbury Puzzles, The, 20, 26

Card trick, 35

Carnap, Rudolf, 154

Carroll, Lewis, 1, 108, 160

Casting out 9's, 33

Cayley, Arthur, 117

Chambered nautilius, 81

Chase, L. R., 161

Chess problem, 24, 25, 29, 139, 145

Chessboard circle problem, 39, 44

Chessin, P. L., 140

Chord in circle probability problem, 206

Christ, Jay Findley, 200

Chuck-a-luck, 132, 134, 135

Cipra, Barry, 30

Cliff, Norman, 211

Coconuts problem, 91, 94

Coffee and cream problem, 133, 135


Colliding missiles problem, 42, 46

Colman, Samuel, 83

Conway, John, 30, 61

Cook, Theodore, 83

Cord and ring puzzle, 69, 74

Cork plug volume problem, 40, 45, 49

Courant, Richard, 133

Coxeter, H. S. M., 77

Cross, two-beamed, 84, 85, 86

Crown and Anchor game, 132, 134, 135

Cryptarithm problem, 224, 225

Cubes, digital roots of, 37

d’Alembert, Jean le Rond, 204

da Vinci, Leonardo, 77

Daedalus, 103

Dali, Salvador, 83

Daniel, Wayne, 9

Danskin, John M., 95

Davidson, W. A., 72

De Divina Proportione, 77

de Gaulle, Charles, 84

Dernham, Monte, 226

Desert-crossing problem, 139, 143

Deutsch, Jaroslav A., 102

Diabolic cube, 61

Diabolic hypercube, 122, 123

Diabolic square, 120, 124

Dice, polyhedral, 4

Die game, 34, 37

Digital root, 32

Digital root proof, 36

Dingle, Herbert, 111

Diophantine equations, 92, 147

Diophantus of Alexandria, 92

Dirac, P. A. M., 93

Dissection puzzles, 194

Dissection, equilateral triangle to square, 21

Dissection, polygon to polygon, 22

Divergent series, 144

Dodecahedron, 2, 5, 6, 78

Dots and boxes game, 70

Doughnut-slicing puzzle, 134, 136

Dr. Matrix, 218

Dubins, L. E., 150

Dudeney, Alice, 20, 30

Dudeney, Henry Ernest, 20, 106, 141, 173, 198

Dunsany, Lord, 139, 145

Dürer, Albrecht, 118

Dynamic symmetry, 83

Eddington, Arthur, 110

Electrical network, 177

Electrical-network puzzle, 4, 8

Elements, The, 1

Eleusis, 151

Equilateral triangle to square dissection, 21

Erdös, Paul, 216

Escalator problem, 140, 146

Euclid, 1, 7

Euler, Leonhard, 68

Fadiman, Clifton, 96

Fair division problem, 141, 147, 149

Fechner, Gustav, 83

Federico, P. J., 192

Fibonacci series, 81

Fink, Federico, 157

Fisher, Adrian, 103

Flapping bird, 163, 169

Flexatube, 15, 16

Flight around the world problem, 39, 43

Flip Flop Blocks, 12

Fly and honey puzzle, 24, 27

Ford, Jr., Lester R., 213

Fortean Society, 84

Franklin, Benjamin, 117

Frederickson, Greg, 28

Froebel, Friedrich, 167

Gale, 71, 72

Gale, David, 71

Game-playing robot, 72


Gamow, George, 109

Gaskin, John S., 26

Gasset, Ortega y, 167

Gauss, Carl Friedrich, 32

Geometrical paradox, 81

Ghyka, Matila, 86

Givner, Howard, 157

Going on a Trip game, 156

Golden ratio, 76

Golden triangle, 80

Golomb, Solomon W., 56

Gould, Richard, 136

Graham, L. A., 211

Graham, Ron, 216

Gridgeman, Norman T., 135

Grimes, Lester A., 194

Griscom, C. A., 157

Gross, Oliver, 75

Group, 122

Guth, Alan, 62

Guy, Richard K., 53, 61

Hall, David B., 136

Hambridge, Jay, 83

Hampton Court maze, 99

Ham-sandwich theorem, 133

Handshakes problem, 43, 46

Hanrahan, J. Edward, 61

Harary, Frank, 116

Harmony maze, 99

Hats problems, colored, 109

Hawley, Chester W., 27

Hawthorne, Nathaniel, 103

Hein, Piet, 51

Heinz, Harvey, 127

Heisenberg, Werner, 51

Helmer, Olaf, 144

Herodotus, 98

Hess, Dick, 29

Hexaflexagon, 11

Hexahedron (cube), 2, 3

Hexa-tetraflexagon, 14

Hilbert, David, 22

Himber Wallet, 17

Himber, Richard, 17

Hinchcliff, Julian, 201

Hinge theory, 17

Holmes, Sherlock, 106

Hopkins, Albert A., 12

Hough, L. E., 85

Hsiung, Chuan-Chih, 195

Huber, Volker, 18

Hume, David, 158

Huxley, Aldous, 51

Hypercube, 122, 191

Icosahedron, 2, 6, 7, 78

Impossibility proof, 56

Impuzzibles, 62

Induction, 151

Induction games, 156, 158

Jacob's Ladder, 12

James, Stewart, 35

Jevning, Steven, 63

Johnson, David, 85

Jonelis, John A., 112

Judah, Stewart, 66

Kalin, Theodore A., 43

Katsanis, Theodore, 60

Kauffman, Nicole, 201

Kean, Lee, 49

Kemeny, John G., 108

Kepler, Johannes, 1, 77

King James Bible, 220

Kinnaird, Clark, 49

Kirchhoff's laws, 177

Klarner, David, 60

Klik-Klak Blox, 12

Kling, Frederick R., 211

Knuth, Donald, 50, 63, 126

Königsberg bridges, 68

Kotani, Yoshiyuki, 29

Kraitchik, Maurice, 27, 191

Kronecker, Leopold, 220

Kruskal, Joseph, 169

Kruskal, Martin, 169


Kruskal, William, 169

Labyrinths, 98

Lacey, Oliver L., 208

Lafferty, V. C., 72

Lapidus, I. Richard, 156

Lawson, James R., 200

Legendre, Adrien Marie, 26

Leibniz, 204

Let's Make a Deal, 215

Logarithmic spiral, 78, 80, 81

Lonc, Frank A., 84

Lonesome 8 problem, 140, 146

Lorayne, Harry, 17

Lorimer, George Horace, 91

Lo-shu, 117, 124

Loyd, Sam, 20, 74, 194, 201

Lucas, Edouard, 100

Luce, R. Duncan, 147

Luini, Bernardino, 18

Lyons, L. Vosburgh, 27

Magic billfold, 13

Magic square, 117

Magic square, order of, 117

Mahomed, Julie, 201

Manheimer, Wallace, 114

Marcus, Mitchell P., 211

Markowsky, George, 88

Massey, Jr., Dan, 136

Matrix solution of logic problem, 107, 112

Max, Nelson, 87

Maxima-minima problem, 163, 167

Maze, multiply connected, 100

Maze, simply connected, 100

Mazes, 98

McClellan, John, 136

McMillan, Brockway, 114

Mechanical puzzles, 194

Melencolia, 118

Miksinski cube, 61

Mill, John Stuart, 158

Minimal-area problem, 131

Möbius strip, 192

Montandon, Roger, 13

Monty Hall problem, 215, 216

Moroney, M. J., 134

Moser, Leo, 45

Muijzenberg, Peter van den, 65

Napoleon, 194

Nelson, Harry, 125

Network-tracing puzzles, 69, 74

Networks, 43

Neville, Eric H., 130

Newton's law of cooling, 135

Niemoller, Arthur B., 27

NORC, 33

Numerical congruence, 32

Numerology, 218

Octahedral die, 4, 5

Octahedron, 2, 4, 5

Ollerenshaw, Kathleen, 126

Oppenheimer, Lillian, 168

Origami, 160

Owen, Robert, 99

Pacioli, Luca, 77

Paper folding problem, 141, 147

Parabola, folding tangents of, 161, 162

Pedersen, Jean, 10

Peg-jumping puzzle, 197, 200

Pentacubes, 60

Pentagon, folding of, 161, 162

Pentagram, 77, 88

Pentominoes, 60

Perfect numbers, digital roots of, 37

Perfect rectangle, 174

Perfect square, 176, 186, 187, 189

Phi, 76

Phidias, 77

Phillips, Hubert, 49, 139

Phipps, Cecil G., 144

Pi, 84

Pickover, Clifford, 29, 127, 192, 226

Pierce, Charles Sanders, 204


Plato, 1

Platonic solids, 1, 2

Polycubes, 61, 62

Polygon to polygon dissection, 22

Poyser, A. W., 8

Probability, 204

Probability problems, 43, 139, 204, 206, 208

Pythagorean Theorem, 50

Raiffa, Howard, 147

Ransom, Thomas, 194

Rawson, Clayton, 134

Recreational logic problems, 106

Redheffer, Raymond M., 211

Regular polygon, 1

Regular polygons, folding of, 161

Regular polyhedron, 1

Regular polytopes, 8

Remembering the Future trick, 35

Repetitious number trick, 40, 45

Robbins, Herbert, 133

Roberts, Gwen, 50

Robertson, J. S., 45

Robertson, Jack, 150

Robinson, Mrs. R. M., 60

Robot maze runners, 102

Rodgers, Tom, 50, 104

Rosamond's Bower, 98

Rosenhause, Jason, 216

Ross, John, 211

Rosser, J. Barkley, 121

Rotor-stator equivalence, 185

Russell, Bertrand, 154, 158

Sackson, Sidney, 158

Sacrament of the Last Supper, The, 83, 84

Sagredo, Vicente Solórzano, 167

Sallows, Lee, 125

Santillana, Giorgio de, 119

Savant, Marilyn vos, 215

Scarne, John, 134

Schaaf, William, 85

Schoenfeld, Gerald K., 46

Schroeppel, Rich, 124

Scientific method, 151

Shakespeare, William, 98, 220

Shannon, Claude E., 72, 102

Shoelace, pencil & straw trick, 66

Sillke, Torsten, 65

Singmaster, David, 29, 50, 97

Sliding pennies problem, 42, 46

Slocum, Jerry, 61, 201

Smith, C. A. B., 173

Smith-Jones-Robinson problems, 106, 109

Smullyan, Raymond, 109, 110, 115, 142

Soma cube, 51

Sonneveld, Dic, 201

Spanker, E. H., 150

Sphere volumes puzzle, 26

Spider and fly puzzle, 23, 27

Spindler, William C., 191

Spot-the-spot, 129

Sprague, R., 189

Squared rectangle, 174

Squares, digital roots of, 37

Squaring the square, 173

Steinhaus, Hugo, 5, 191

Stephenson, Charles W., 60

Stern, Marvin, 109

Sterne, Theodore, 111

Stone, Arthur H., 11, 14, 15, 133, 173

Sum of two cubes puzzle, 26, 28

Swinburne, Algernon Charles, 98

Symbolic logic, 114

Tangrams, 194, 196, 200

Tau, 85

Telephone number trick, 32, 33

Tetracube, 60

Tetraflexagon, 11

Tetrahedron, 2, 3

Tetra-tetraflexagon, 12

Thayer, Tiffany, 84

Theseus, 98


Thomson, James, 119

Three prisoners paradox, 209, 211, 214, 216

Tierney, John, 216

Tissandier, Gaston, 167

Topology, 24, 66

Traub, Jules, 201

Treep, Anneke, 63

Trémaux, A., 100

Triangular duel problem, 43, 46

Trigg, C. W., 8

Tri-tetraflexagon, 11

Truth-tellers and liars problems, 110

Tukey, John W., 11, 133

Tutte, William T., 173

Twiddled bolts problem, 39, 43

Two children probability problems, 139, 145, 208

Unamuno, Miguel de, 160

Veblen, Oswald, 117

Vogel, Ed, 63

Wagner, Richard, 220

Walker, David N., 213

Walker, Robert J., 121

Walters, Kenneth, 86

Wang, Fu Traing, 195

Wasserman, Gerald, 157

Water and wine problem, 142, 149, 150

Wayne, Alan, 225

Webb, William, 150

Wertheim, Margaret, 9, 201

Whirling squares, 78, 79

Whirling triangles, 80

Whitaker, L. D., 198

Whitehead, J. H. C., 93

Whitworth, William A., 210

Willcocks, T. H., 189, 191

Williams, Ben Ames, 91

Wilson, J. Walter, 96

Wilson, Marguerite, 62

Wolfe, David, 50, 104

Yoshizawa, Akira, 167

Zeising, Adolf, 83, 84, 86




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