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Description
Wikipedia has a good amount of information available on fractals plus the possibility of collecting them in a so called "book".
As I am not a full contributor of Wiki, I was not allowed to save the result in their server, so I am uploading it here as a PDF.
I have tried to avoid the purely mathematical stuff, only reserved for my friend (and his friends)
The very nature of Wiki will provide you with a myriad of links to dig deep into the preferred subjects.
I hope that at least some of you that can find some subjects of interest. In my case, I was quite surprised for what I compiled under the Chapter "Fractal Applications".
A final warning: if you decide to download the paper, it weighs 72Mb.
Below is a list of the articles with the chapter organization I have given them, so you have an rough idea of what is all about.

Contents

Articles

Some Basics 1
Benoît Mandelbrot 1
Fractal 7
Fractal dimension 14
Dimension 17
Attractor 24
Complex number 29
Self-similarity 43
Fractal flame 45
Orbit trap 47
Chaos theory 49
Brownian motion 62
Perlin noise 69

Famous Fractals 71
Mandelbrot set 71
Julia set 89
Sierpinski triangle 98
Newton fractal 103
Pythagoras tree 106
Lyapunov fractal 107
Lorenz attractor 109
L-system 113
Iterated function system 127
Barnsley fern 131

3D Fractals 135
Mandelbox 135
Mandelbulb 136

Fractal Applications 138
Fractal antenna 138
Fractal landscape 141
Algorithmic composition 143
Lichtenberg figure 148
Fractal compression 151
Fractal in soil mechanics 155
Elliott wave principle 156
Wolfram Demonstrations Project 162
Invariant set postulate 164

The Sacred Side of Fractals 166
Sacred geometry 166
Fractal cosmology 171
Fibonacci number 175
Golden spiral 190
Golden ratio 193
Mandala 214
Sri Yantra 222
Tree of life 224

Fractal Software 235
Fractal-generating software 235
Fractint 237
Apophysis (software) 239
Ultra Fractal 241
Sterling (program) 243
XaoS 245

Fractal Art 247
Digital art 247
Systems art 254
Fractal art 258
The Beauty of Fractals 261

Other Fractal Formulas 264
Apollonian gasket 264
Cantor set 271
Cantor function 277
H tree 279
Hexaflake 281
Douady rabbit 282
Hausdorff dimension 285
Lute of Pythagoras 290
Multibrot set 291
Multiplicative cascade 295
Nova fractal 297
Pickover stalk 300
Sierpiński arrowhead curve 301
Sierpinski carpet 302
Siegel disc 304
Vicsek fractal 307
Dragon curve 309
Koch snowflake 315
Lévy C curve 320
Space-filling curve 322

Appendix 327
List of fractals by Hausdorff dimension 327
Romanesco broccoli 340
Proportion (architecture) 342
How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension 351

References
Article Sources and Contributors 353
Image Sources, Licenses and Contributors 360

Article Licenses
License 370

Description
Wikipedia has a good amount of information available on fractals plus the possibility of collecting them in a so called "book".
As I am not a full contributor of Wiki, I was not allowed to save the result in their server, so I am uploading it here as a PDF.
I have tried to avoid the purely mathematical stuff, only reserved for my friend (and his friends)
The very nature of Wiki will provide you with a myriad of links to dig deep into the preferred subjects.
I hope that at least some of you that can find some subjects of interest. In my case, I was quite surprised for what I compiled under the Chapter "Fractal Applications".
A final warning: if you decide to download the paper, it weighs 72Mb.
Below is a list of the articles with the chapter organization I have given them, so you have an rough idea of what is all about.

Contents

Articles

Some Basics 1
Benoît Mandelbrot 1
Fractal 7
Fractal dimension 14
Dimension 17
Attractor 24
Complex number 29
Self-similarity 43
Fractal flame 45
Orbit trap 47
Chaos theory 49
Brownian motion 62
Perlin noise 69

Famous Fractals 71
Mandelbrot set 71
Julia set 89
Sierpinski triangle 98
Newton fractal 103
Pythagoras tree 106
Lyapunov fractal 107
Lorenz attractor 109
L-system 113
Iterated function system 127
Barnsley fern 131

3D Fractals 135
Mandelbox 135
Mandelbulb 136

Fractal Applications 138
Fractal antenna 138
Fractal landscape 141
Algorithmic composition 143
Lichtenberg figure 148
Fractal compression 151
Fractal in soil mechanics 155
Elliott wave principle 156
Wolfram Demonstrations Project 162
Invariant set postulate 164

The Sacred Side of Fractals 166
Sacred geometry 166
Fractal cosmology 171
Fibonacci number 175
Golden spiral 190
Golden ratio 193
Mandala 214
Sri Yantra 222
Tree of life 224

Fractal Software 235
Fractal-generating software 235
Fractint 237
Apophysis (software) 239
Ultra Fractal 241
Sterling (program) 243
XaoS 245

Fractal Art 247
Digital art 247
Systems art 254
Fractal art 258
The Beauty of Fractals 261

Other Fractal Formulas 264
Apollonian gasket 264
Cantor set 271
Cantor function 277
H tree 279
Hexaflake 281
Douady rabbit 282
Hausdorff dimension 285
Lute of Pythagoras 290
Multibrot set 291
Multiplicative cascade 295
Nova fractal 297
Pickover stalk 300
Sierpiński arrowhead curve 301
Sierpinski carpet 302
Siegel disc 304
Vicsek fractal 307
Dragon curve 309
Koch snowflake 315
Lévy C curve 320
Space-filling curve 322

Appendix 327
List of fractals by Hausdorff dimension 327
Romanesco broccoli 340
Proportion (architecture) 342
How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension 351

References
Article Sources and Contributors 353
Image Sources, Licenses and Contributors 360

Article Licenses
License 370