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Pickover C.A. — Mobius Strip: Dr. August Mobius's Marvelous Band in Mathematics, Games, Literature, Art, Technology, and Cosmology
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Íàçâàíèå: Mobius Strip: Dr. August Mobius's Marvelous Band in Mathematics, Games, Literature, Art, Technology, and CosmologyÀâòîð: Pickover C.A. Àííîòàöèÿ: The road that leads from the Möbius strip — a common-sense-defying continuous loop with only one side and one edge, made famous by the illustrations of M.C. Escher — goes to some of the strangest spots imaginable. It takes us to where the purely intellectual enters our world: where our senses, overloaded with grocery bills, the price of gas, and what to eat for lunch, are expected to absorb really bizarre ideas. And no better guide to this weird universe exists than the brilliant thinker Clifford A. Pickover, the 21st century's answer to Buckminster Fuller.
ßçûê: Ðóáðèêà: Ìàòåìàòèêà /Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö ed2k: ed2k stats Ãîä èçäàíèÿ: 2006Êîëè÷åñòâî ñòðàíèö: 244Äîáàâëåíà â êàòàëîã: 14.05.2008Îïåðàöèè: Ïîëîæèòü íà ïîëêó |
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Ïðåäìåòíûé óêàçàòåëü
50 First Dates 182 Afghan bands 3 Alexander's sphere 100 Aliens and Moebius strips 23—24 Ambiguous ring 197—198 208 applications 89 April Fool's joke 71—72 Architecture 155 ART 154—170 Artificial life 134 Asimov, Isaac 37 Autism and knots 15 Balle, Solvej 186 Barth,John 186 Barycentric calculus 106—107 111 Bill, Max xx 157 Borromean rings 20—21 Boy surface 82—83 Brown, Ronnie 13 Browne, Cameron 100—102 Business 198 Butterfly curves 64 Calculus, barycentric 106—107 111 Cantor set 98 Celtic knots 18 Chemistry 51—58 Chess 150—153 Chirality 52—54 Christmas tree 59 167 Chromatic number 69 Civilization and knots 21 Clarke, Arthur, C. 174—175 197 Collins, Stanley 4 Coloring maps 69—72 108 Cosmos models 111—119 136—141 193 Crosscap 82—84 Crumey, Andrew 188 Darwin, Charles 36 Dehn, Max 12 Devil's configuration 170—171 Dhalgren 179 Dietrich-Buchecker, Christiane 54—55 DNA and knots 17 Dodecahedral space 131 Donnie Darko 181 Dowell, Coleman 184 drugs 52—56 Egan, Greg 136 Einstem, Albert 119 Ekpyrobc universe 141 Elhot, Bruce 188 Enatiomers 54 Eozoon 36 Escher, M.C. xx 158 Eternal Sunshine 194 Euclid 117 Euler, Leonhard 66—67 74 90 103 Eversions 79—81 Extrinsic geometry 119 False dawn animal 35—36 Fashion, Moebius 60 Fauvel,John xi 26 Femme Fatale 182 Fibonacci numbers 85 Fiction 40 Flat space 138—139 Flood, Raymond xi Four-color theorem 70—72 Fourth dimension 76 116—117 125—127 Fractals 196 213 Games 146—153 Gardner, Martin xxii 3 10 71 94 174 187 196 Gauss, Carl 28 31 73 118 God 142 Government 198 Graph theory 93 Graph theory puzzle 59 Haken, Wolfang 16 handedness 52—54 Hayes, Daniel 184 Helix 63 Hexaflexagons 94 History and knots 21 Hoidn, Phoebe 17—18 Hole through hole xv Homeomorphisms 74—75 199 Horned sphere 100—102 Hyperbolic universe 139 Hyperspace 116—117 125—127 Hypersphere 119 137 Infinite universe 141 Inflation 140 Intrinsic geometry 119 Inventions 39—60 148 Ionesco, Eugene 185 Jordan curves 189 Josipovici, Gabnel 183 Kalata 56 Kells, Book of 19 Kelvin, William 16 Klein bottles 69 82 105 120—124 129 152—153 160 187—188 Kleinian group 213 Knight's tours 151 155 Knots 12—18 77—78 165 Knots, Borromean rings 20—21 Knots, Celtic 18 Knots, Chinese 21 Knots, chromatic number 69 Knots, civilization and 21 Knots, cutting 14 65 Knots, DNA 17 Knots, gigure-eight 16 160 Knots, gourth dimension 77 116 Knots, history and 21 Knots, homeomorphisms 75 100 Knots, Kells, Book of 18 Knots, mathematics, and 22 Knots, molecules 54—55 Knots, patents 50—51 148 Knots, Perko 14 Knots, proteins 18 56 Knots, puzzle 22 Knots, sailors 21 Knots, subatomic particles 17—18 Knots, trefoils 12—18 75 162—163 Knots, triquetra 18 Knots, unknot 15 Knots, vortex atom theory 16—17 Krasek, Teja 166—167 Language 210 LEGO 158—160 Leibniz, Gottfried 128 Leys, Jos 14 20 213 Licentiousness 38 Life 134—135 Lipson, Andrew 158—160 Lissajous curves 63 Listing, Johann 28 73 Literature 173—189 Ljubljana ribbon 12 Longtin, Tom 161—164 Luther, Martin 26 30 magic 2—4 Mandelbrot, Benoit 196—197 Manifolds 128 137 Map coloring 33 69—72 108 Matrix 133—134 Mazes 37 146—149 209 216 Mell, James 17 Mertens function 87 Mirror molecules 52—54 Mirror worlds 115—116 Mirrored organs 116 Mirrors 125—127 Moebidromes 91 Moebius applications 89 Moebius bundles 212 215 Moebius dualities 212 215 Moebius fiber bundles 212 215 Moebius function 84—89 Moebius groups 212 Moebius inversion formulas 33 212 214 Moebius nets 33 212 Moebius statics 33 212 Moebius strip, aliens 23—24 Moebius strip, architecture 155 Moebius strip, art xx 154—170 Moebius strip, beer xix Moebius strip, business 198 Moebius strip, chemistry 51—58 Moebius strip, chess 150—153 Moebius strip, Christmas tree 59 167 Moebius strip, coloring a side 8 Moebius strip, cosmos 143—144 Moebius strip, cutting 9—10 65 Moebius strip, fashion 60 Moebius strip, fiction 40 Moebius strip, government 198 Moebius strip, language 210 Moebius strip, LEGO 158—160 Moebius strip, licentiousness 38 Moebius strip, Listing,Johann 28 Moebius strip, literature 173—189 Moebius strip, magical use 2—4 Moebius strip, map coloring 33 69—72 Moebius strip, mazes 37 146—149 209 216 Moebius strip, molecules 51—58 Moebius strip, movies 173—189 194 Moebius strip, music 168—170 Moebius strip, parametric equations 64 Moebius strip, patents 39—60 148 Moebius strip, Penrose tiles 166—167 Moebius strip, pop culture 109 Moebius strip, proteins 56 Moebius strip, psychology 172 Moebius strip, religious use 4 Moebius strip, sandwich 11 Moebius strip, science metaphor 36—37 Moebius strip, shorts 95—96 Moebius strip, skiing xix Moebius strip, snow sculpture 168 Moebius strip, square dissections 104—105 Moebius strip, stairs 154—155 Moebius strip, stamps 156—157 Moebius strip, suburbia 190 Moebius strip, technology 39—60 Moebius strip, toys 147—149 Moebius strip, tram tracks 58 Moebius strip, triangulated 72 Moebius strip, triple-thick 10 Moebius strip, twist, number of 11—12 65 Moebius syndrome 27—28 Moebius tetrahedra 96 Moebius transform 214 Moebius transformations 33 212—213 Moebius triangles 97 Moebius, August 25—35 Moebius, August, place in history 6 197 Moebius, August, skull xvii Moebius, Karl August 35—36 Moebius, Paul xvii xviii 27 Molecular shapes 51—58. See also knots and Moebius sbip Mosquera, Gustavo 176 movies 173—189 194 Multiple universes 131—136 141 Multiverse 131—133 MUSIC 168—170 Nabokov, Vladimir 184 Nahm, Paul 187 Nelson, James 3 Onentability 29 82—83 94 114 139 Organs, mirrored 116 Palindromes 90 Panunebic equations 62—65 Paradromic rings 65 Parallel universes 131—136 141 Patents 39—60 148 Penrose biangle 208 Penrose tiling 166—167 196 Perko knots 14 Phillips, Dave 37 209 216 Phrenology xviii PI 86 91—92 Pirandello, Luigi 180—181 Polyhedron 66—67 Pop culture 109 Pretzel puzzle 143 Priestly,John 181 PRIMES 86 92 Prismatic doughnuts 102—103 Projective plane 69 82 105 120 129 Proteins 18 55 Proust, Marcel 179—180 Psychology 172 Puzzles ant planet 189—190 Puzzles, ambiguous ring 197—198 208 Puzzles, Devil's configuration 170—171 Puzzles, graph 59 Puzzles, knot 22 Puzzles, maze 37 209 216 Puzzles, pretzel 143 Puzzles, pyramid 109 Puzzles, squiggle coloring 108 Puzzles, treadmill 5 Pyramid puzzle 109 Recycling symbol xviii—xix Religion 4 Reuleaux triangle 42—43 192 Riemann, Bernhard 117 193 Ring, ambiguous 197—198 208 Rivers 92 Robinson,John 13 Roman surface 82—83 Rzepa, Henry 57 Sailors and knots 21 Sauvage, Jean-Pierre 54—55 Scharein, Rob 164—165 Schoenberg, Arnold 169 Shoelaces 51 Simanek, Donald 208 Simulations, reality 133—136 Simultaneous discovery 29 Slapenarski surface 174 Slonunsky, Nicolas 169 Snow sculpture 168 Solenoid 97—99 Sphere eversions 79—80 Sphere, horned 100—102 Square number 84 Squareful numbers 85 Squiggle map coloring 108 stairs 154—155 Stamps 156—157 Star Trek 177 Stasiak, Andrzej 17—18 Stephens, Nicky 154—155 Steward, Ian 1 6 145 191 String theory 90 Suburbia 190 Subway 176
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