Chapters in this book

1. Frontmatter i
2. Contents v
3. Foreword ix
4. Introduction xi
5. Chapter 1. What is the shape of the world around us? 1
6. Chapter 2. Self-similarity in geometry 15
7. Chapter 3. Self-similarity in the wild 55
8. Chapter 4. Manufactured fractals 89
9. Chapter 5. The Mandelbrot set: infinite complexity from a simple formula 129
10. Chapter 6. Quantifying fractals: What is fractal dimension? 159
11. Chapter 7. Further developments 205
12. Chapter 8. Valediction 249
13. Appendix A. A look under the hood: Some technical notes 253
14. Appendix B. Solutions to the problems 407
15. References 439
16. Acknowledgments 491
17. Figure credits 493
18. Index 495