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Kappraff J. Ч Beyond Measure: A Guided Tour through Nature, Myth, and Number
Kappraff J. Ч Beyond Measure: A Guided Tour through Nature, Myth, and Number

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Ќазвание: Beyond Measure: A Guided Tour through Nature, Myth, and Number

јвтор: Kappraff J.

язык: en

–убрика: –азное/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 2002

 оличество страниц: 616

ƒобавлена в каталог: 10.05.2008

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
1/f noise      354 464Ч467
3,4,5-relationships      73 82Ч86 181Ч189 236
Ad quadratum square (square-within-a-square)      173Ч174 213 220Ч221
Adamson, Gary      345 347 354Ч356 461Ч462 472 504Ч516 531 535 537Ч538
Alberti, Leon Battista      26 145Ч150
Amish quilts      128Ч130 176
Apollo      25 253Ч254
Arithmetic sequence      35 194
Australian Aborigines      3Ч5 50
Babylonian pantheon      77
BeattyТs Theorem      454Ч455 545
Belousov Ч Zhabotinsky effect      332
Binary numbers      340Ч343 357 390 427Ч431 458Ч461 463
Birthday problem      211
Blackbody radiation      473
Bockemuhl, Jochen      xx
Boolean algebra      359Ч364
Brunes star      125 169Ч194 213Ч214 229Ч231 364Ч365 453Ч454 483Ч484
Brunes star, hyperbolic      195Ч197
Brunes, Tons      169Ч194
Buckminster Fuller      118Ч120
Canonical year      77 90
Cantor set      404Ч405 417Ч419 424Ч425 436 508 544 555
Chaos theory      378Ч393 417Ч442
Chaos theory, Arnold tongues      553Ч554 556
Chaos theory, Cantor set      419 424 436 508 555
Chaos theory, circle map      546Ч549 553
Chaos theory, devilТs staircase      332 543Ч544 551 555
Chaos theory, diffusion limited processes      424
Chaos theory, Feigenbaum      387 424 508
Chaos theory, Gray code and the logistic equation      387Ч388
Chaos theory, logistic equation      382Ч384 392Ч393
Chaos theory, Mandelbrot and Julia sets      420Ч426 431Ч436 504 508 514Ч515
Chaos theory, Morse Ч Thue sequence      590Ч591
Chaos theory, number and chaos      426Ч431 516
Chaos theory, shift operator      591Ч592
Chaos theory, symbolic dynamics      389Ч390 545 548Ч549
Chaos theory, Towers of Hanoi      387 389 417Ч420 507Ч508 513Ч514 549
Chaos theory, universality      436Ч437
Circle at infinity      27 46
Circle map      546Ч549 553
Collineation      40Ч41 46
Color wheel      85Ч89
comma      77
Comma, Pythagorean      65 68 80 90Ч91 117
Comma, syntonic      76 85 217
complexity      441Ч442
Conic sections      28 31Ч33 45
Continued fractions      317Ч330 335Ч337 344Ч346 446Ч447 523Ч524
Coxeter, H.S.M.      521 522Ч524
Cross-ratio      30Ч31 34 102 104 106Ч107 193Ч194
Cyclotomic polynomials      505Ч507
Decay problems      208Ч211
DeSantillana and Dechend      8 78
Descartes      18Ч19
DevilТs staircase      332 543Ч544 551 555
Diagonals of polygons      488Ч492
Dirichlet domains      523 527
Divergence angle      325Ч326 520 523 526 529 537 551 555
Division algorithm      321
DNA      xviii 359 369Ч372 449
Edwards, Lawrence      25Ч53
Egypt      77 100Ч104 170
Ehrenkrantz, Ezra      146 164Ч166
English measure      59Ч61 69
Equal-tempered scale      59Ч61 69 82
Equipartion of lines      176Ч181 192Ч194
Euclidean algorithm      321Ч322
EulerТs function      316 334Ч335 486
Exponential decay      208Ч211
Fali      6 50Ч52
Farey sequence      311Ч333 335 353 526Ч527 537 551 553 555 557
Feigenbaum number      387 424 508 522
Fibonacci polynomials      443Ч444 460 476Ч477 488Ч493 504
Fibonacci sequence      149Ч150 164 249Ч250 298Ч299 411Ч412 497 521 523 534 548 557
Flowform method      22Ч24
Flowsnake curve      273Ч274
Ford circles      327Ч329 332 337 533
Four dimensional cube      133Ч134 349Ч350 352 368Ч369
Fractals      394Ч416
Fractals, Barnsley fern      408Ч410
Fractals, Cantor dust      404
Fractals, coastlines      396Ч401
Fractals, flowsnake      273
Fractals, fractal trees      411Ч414
Fractals, fractals in culture      414Ч416
Fractals, Hilbert curve      405Ч406
Fractals, historical perspective      394Ч396
Fractals, Koch snowflake      401Ч403 408
Fractals, self referential      406Ч410
Fractional quantum Hall effect      332Ч333
GamblerТs ruin      202Ч203
Gears      337Ч339 531Ч536
Geometric sequence      34 36 103 106Ч108 150 163 444
Godwin, Joscelyn      11Ч114
Golden mean      146 150 213 230 443Ч468 494 523 544Ч545 555
Golden mean, 1/f noise      464
Golden mean, Brunes star      229Ч231 453Ч454 483Ч484
Golden mean, continued fractions      325Ч327 446Ч447
Golden mean, five-fold symmetry      449Ч451
Golden mean, golden diamonds      449Ч450 453
Golden mean, golden rectangle      448
Golden mean, golden triangles      449 451Ч452
Golden mean, Megalithic stone circles      247Ч248 250 255
Golden mean, optimal spacing      529Ч530 537Ч538
Golden mean, rabbit sequence      458Ч461 467Ч468 535 544Ч546 548
Golden mean, Towers of Hanoi      354
Golden mean, Wythoffs game      454Ч458 534 537
Golden mean, Zeckendorf system      458Ч463 470 534Ч535
Gray code      340Ч358
Gray code, binary numbers      340Ч343 357
Gray code, DNA      359 369Ч372
Gray code, logic      359 364 366Ч368
Gray code, logistic equation      389
Gray code, n-Bonacci numbers      473
Gray code, prime numbers      346Ч348
Gray code, rational numbers      344Ч346
Gray code, Towers of Hanoi      348Ч354
groups      38 41
Guidoni, Enrico      3Ч7 25 50
Hamilton paths      349Ч350
Harmonic mean      101 103 148 152Ч153 189Ч192
Harmonic sequence      99 101 105 181 189
Harmonices Mundi      114Ч115 118
Hebrew alphabet      262Ч265 273Ч278 285Ч286
Heptagon      486Ч487 490 494Ч498 503
Heptatonic scale      68Ч69 74
Hokusai      13Ч14
Homogeneous coordinates      41 43Ч44 52Ч53 94
Hyperbolic functions      196Ч201
I-Ching      369Ч370
imaginary numbers      39 46 300Ч302 306Ч308 420Ч422 499Ч501
Irrational numbers      87 310Ч311 324Ч325 369 390 392 527 529 548 554Ч556
Ising problem      542Ч546 539
Julia sets      423Ч436 514Ч515
Just scale      69Ч71 73 76 100 317
Kaballah      79
Kapusta, Janusz      453Ч455 483Ч484
Karnaugh maps      367Ч372
Kauffman, Louis      291Ч307
Kepler      19 54 109Ч124 330Ч331 379 553
Knots      278Ч282 303Ч306
Kuan Tzu      67
Lambdoma      97Ч98
Laurentian Library      213Ч231
Laurentian Library, Mask panel      229Ч231
Laurentian Library, Medici panel      223Ч229
Laurentian Library, sacred Cut panel      217Ч223
Laurentian Library, Timaeus panel      217
Little end of the stick problem      195 203Ч205 208Ч209 335Ч337
Logarithms      87Ч90 180 204
Logic      359 362Ч364 367Ч369
Lucas polynomials      479Ч481 488Ч493 504 507 513Ч514
Lucas sequence      444Ч446 479Ч481 504 521
Macaulay, Anne      235Ч260
Mandelbrot set      421Ч426 436Ч442 504 508 514Ч515
McClain, Ernest      54Ч87 109 167
Means: arithmetic, geometric and harmonic      99 148 152Ч153 158
Mediant      312 332
Medici chapel      146 159Ч164
Megalithic stone circles      235Ч260
Megalithic stone circles, Farr West      243Ч244 256 260
Megalithic stone circles, flattened circles      249Ч250
Megalithic stone circles, megalithic foot      238 240 244
Megalithic stone circles, megalithic rod      237 239Ч241 244 247
Megalithic stone circles, megalithic yard      237 239 244 247
Megalithic stone circles, Mid Clyth      240Ч241
Megalithic stone circles, Milton of Clava      245Ч246 256 259Ч260
Megalithic stone circles, Riverness      245Ч246
Megalithic stone circles, Whitcastle      248Ч249
Michelangelo      161 213 229 231
Mode locking      332 533 549Ч550
Mode locking, circle map      553Ч556
Mode locking, harmonics of the musical scale      551Ч553
Mode locking, natural resonances      551
Modular arithmetic      335 354 509 513 517Ч519 547
Monochord      46 63Ч64 115 146
Morse Ч Thue sequence      590Ч591
Musical scales, acoustic (overtone) scale      95Ч97 181 317
Musical scales, chaos scale      504 510Ч512 516
Musical scales, equal-tempered scale      59Ч61 69
Musical scales, heptatonic      65 68Ч69
Musical scales, Just scale      69Ч71 73 76 94 100 115 317
Musical scales, Pentatonic scale      65 67Ч68
Musical scales, projective nature      93Ч108
Musical scales, Pythagorean scale      68 75Ч76 94 146
Musical scales, undertone scale      97 190 317
n-Bonacci sequence      469Ч474 557
Nctave      56Ч57 60 68 102
Newton, Isaac      117 123 379Ч380
Nicholson, Ben      213Ч231
Nicomachus      71 148 152
Noble numbers      325Ч327 447 521 523 527
Nvertone sequence      95Ч97 181 317
Octagon      125Ч127 130 150Ч151 224Ч225 490
PascalТs triangle      469Ч470 472Ч474 475Ч476 479Ч480
Path curves      40Ч49
PellТs sequence      150Ч153 168 473
Penrose tilings      449 451 453 540
Pentatonic scale      65 67Ч68
Phyllotaxis numbers      326 521Ч522 524 526
Pivot transformation      49
Plant phyllotaxis      520Ч537
Plant phyllotaxis, CoxeterТs model      522Ч524 529 531 547
Plant phyllotaxis, gears of life      531 537 551
Plant phyllotaxis, optimal spacing      529Ч530 537Ч538
Plant phyllotaxis, RivierТs model      527Ч529
Plant phyllotaxis, Van ItersonТs model      524Ч527 529
Plato      54 80Ч82 111 189
Platonic solids      176 253 448
PlatoТs lambda      71Ч72 147Ч148 162 165 186 216Ч217
Plimpton      322
Poe, Edgar Allan      21
Polyani, Michael      10 (intro)
Precession of the equinox      7Ч9 78
Prime numbers      335 346Ч348
probability      201Ч211
Projective geometry      26Ч29 93Ч108 192Ч194
Projective geometry, circling involution      39Ч40
Projective geometry, circling measure      38Ч40
Projective geometry, growth measure      33Ч36 38 41Ч43 46
Projective geometry, involutions      36Ч40
Projective geometry, perspectivity      29Ч31
Projective geometry, projectivity      31Ч33
Projective geometry, step measure      35 193
Proportion, systems of      145Ч168 475Ч503
Quadrilateral      37
Quasicrystals      141 539Ч541
Rabbit sequence      458Ч461 467Ч468 535 544Ч546 548
Rational numbers      87 309Ч311 344Ч346 391Ч392 553Ч556
Relf-referential      288 291Ч307
Relf-referential, fractals      394Ч416
Relf-referential, imaginary numbers      300Ч302 306Ч308
Relf-referential, knots      303Ч306
Relf-referential, logic      303Ч306 292Ч293
Relf-referential, mathematics      292Ч293
Relf-referential, myth      296Ч297
Relf-referential, silver means      330 498Ч501
Relf-referential, Towers of Hanoi      354Ч356sets 359Ч362 364Ч367
Repetition of ratios, law of      156Ч160 213
Rhombic dodecahedron      138
Rhombic triacontahedron      138 140Ч141
Rig Veda      54 87
Roman system of proportions      149Ч156 213 220
Rumi      287
RussellТs paradox      292
Sacred cut      125Ч126 129 150 173 213 217Ч223 232Ч234 501
Schwaller di Lubicz, R.A.      98 100Ч103 171
Schwenk, Theodor      3 9Ч24 261
Sexagismal system      56 70 77Ч78
Silver means      150 330 475Ч485 498Ч501 545
Spencer Ч Brown, Gordon      278 291 312
Spencer Ч Brown, Gordon, fractal tree      411Ч414
Spencer Ч Brown, Gordon, laws of form      372Ч376
Spencer Ч Brown, Gordon, re-entry      297Ч300
spirals      3Ч24
Spirals, Baravelle spiral      173Ч174
Spirals, logarithmic      35Ч36 45 51 59Ч60 87Ч88 158 521 531Ч533
Spirals, meanders      10Ч12
Spirals, phyllotaxis spirals      520Ч527
Spirals, reciprocal spiral      283
Spirals, spiral fifths      63Ч69
Spirals, tetrahelix      271Ч273 282
Spirals, wave motion      12Ч14
Squaring the circle      172Ч174
Sri Yantra diagram      57Ч58
Star polygons      57 62 134 139Ч140 151 243Ч250 256Ч260 449Ч450 486Ч498 504Ч516
Sumeria (Mesopatamia)      56Ч57 61 63Ч66 77 80 87
Tangrams      127Ч129
Tenen, Stan      261Ч288
Tetractys      72
Tetrahelix      271Ч273 282
Thorn, Alexander      235 237 238Ч239 243 254
Timaeus      68Ч69 71 97 147 217
Titius Ч Bode law      109 118Ч120 121 228
Torus      268Ч271 280Ч281 531 556
Towers of Hanoi      348Ч358 387 389 417Ч420 507Ч508 513Ч514 536 549
Truncated octahedron      137Ч138
Undertone sequence      97 190 317
Van Gogh      20Ч21
Vectors      82Ч86 91Ч92
Vesica pisces      142Ч143 226 230 502Ч503
Vortices      15Ч20 49 265Ч268
Wilkes, John      22
Williams, Kim      146 160Ч164
Winding number      547Ч548 551 553Ч556
Wythoffs game      454Ч458 534 537 544
Yahweh diagram      78Ч80
Yantra diagrams      73 75Ч80
Zeckendorf notation      458Ч463 470 534Ч535 549
ZenoТs paradox      198Ч199
Zohar      265 267
Zonogons and zonohedra      130Ч133 137Ч141
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