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Index acceleration 11

acid rain 128

curves and calculus 13 mobile phones 1 26

dendrite Julia set 89

derivative 11

music 161

in natural world 101-2,

128-38

141

affine transformations diagonal slash, the 18 origin 8

differentiation 11

rules 146

African culture 166-7 diffuse limited aggregation see DLA aggregation see DLA galactic clusters 134 AIDS virus 116 dimension 24 Gaudf, Antonio 163 aircraft and turbulence DLA 104-6 Geller, Margaret 134

126

Alexander, Avian 127 earthquakes 129

algorithm 55

analysis 14

architecture 1 62-5

art 154-60

ecology 128-9

elliptical orbits 1 O

Escher, Maurits 38

Euclid 9, 25

generators 150

geological faults 122-3

see also earthquakes geometry classical 9

fractal 7 Godel, Kurt 63

bacteria 115

Fatou, Pierre 70-2 Great Wall , the 134

bifurcation points 59 feedback models 52-4 Big Bang, the 136-8 Feigenbaum Halley, Edmond 1 O bone fractures 119 constant 64-6 Hausdorff dimension 36 Bourbaki78 point 60 Hausdorff, Felix 24, box continuum. method Feigenbaum, Mitchell 64, 28-31

30

99

Brownian motion 1 07 fig tree, the 60

Hawking, Stephen 113,

137

Buddhist art 1 54- 5 financial markets 146- 55 heart beats 120

calculus 1 O, 13

cancer 117-18

Ford, Joseph 55

forensics 127

forest Ii res 1 02

Hele-Shaw experiment

105

Hirst, Bill 160

Cantor, Georg 9, 18- 21 Fournier, Jae 133

HIV see AIDS virus

Cantor set 20-1 , 24-5, fractal

Huchra, John 134

27,81-4,88

dimension 28-31 human

Cauchy, Augustin 12, 14 the first one 14-2 1 body 108-13, 139-41 Cayley, Arthur 99 geometry 7 brain 111-13 chaos theory 54, 61 , 94 image compression chaotic orbit 60 140 IBM and Mandelbrot 80 Clarke, Arthur C. 156, origin of term 7 image compression 140

168

classical geometry 9 fractals shapes, nature 4-6, 41 industry, use of fractals

121-7

clouds 101

and AIDS research infinity 18

coastline, measuring 34 116

length of coastline 35

complex numbers 15, 67-8

plane, the 68- 72

aircraft 126

infinitesimals 10, 12

in architecture 162-5 integers 15, 18

in art 154-60

integration 11

computer images 8

continuum 18

crowd flow 130-1

curve of corners 14

space filling 22- 3

and financial markets Islamic art 156

146-55

iteration 55, 70

human body 108-20,

139

importance of 3

military use of 127

Julia, Gaston 70-2

Julia sets 71, 86-93, 99

mapped 90

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