ALT.FRACTALS   A visual guide to fractal geometry and design

ISBN 0955706831  -   ISBN13: 978-0-9557068-3-7

Alt.Fractals

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Table of Contents

  1. Fractals     1
  2. A Few Standards     2
  3. Not the Koch Snowflake     17
  4. Not the Sierpinski Triangle     30
  5. Not the Sierpinski Carpet     38
  6. More Hexagons     44
  7. Booleans and Transparencies     49
  8. Not the Sierpinski Pyramid     55
  9. Not the Menger Sponge     61
  10. Negative Solids     67
  11. The Fractal Library     71
  12. Inside the Mandelbrot Set     75
  13. The Julia Set in 4D     78
  14. Not the Mandelbrot Set     90
  15. The Tricorn, or “Mandelbar”     92
  16. The Mandelbrot/Tricorn Hybrid     94
  17. Higher-Powered Mandelbroids     96
  18. Higher-Power Julia Set Maps     99
  19. More “Complex Conjugate” Mandelbrots     109
  20. “Complex Conjugate” Julia Maps     110
  21. Higher-powered Julia Solids     114
  22. Higher-power Hybrids     116
  23. Hyper-Complex Fractals     118
  24. Sine Julia Sets     121
  25. Other Trigonometric Julia Sets     127
  26. Scale Sensitivity     130
  27. Fibonacci and the Golden Section     136
  28. Tiling the Golden Rectangle     142
  29. Extended Fibonacci Series     143
  30. The Golden Ratio and Pentagons     146
  31. Islands and Double-Limits     150
  32. Linear Fractals     153
  33. “Planar” or “Foliar” Fractals     159
  34. “Plotter” Fractals     162
  35. Dragons     170
  36. Fractal Plantlife     177
  37. Advanced IFS     183
  38. Number     185
  39. Inside the Menger Sponge     192
  40. The L-block     197
  41. Fractal Circles     201
  42. Circular-faced Fractal Solids     205
  43. Graphs and Audio     208
  44. Rope and Braiding     209
  45. Villarceau Coils and Toroidal Packings     210
  46. Kaleidoscopes and Mirrorspace     214
  47. Life is Fractal     219
  48. Table of Figures     221