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
