# The Mandelbrot Set

Formed by iterating the quadratic polynomial \[ z \to z^2 + c \] and seeing what happens.

# 1 Software

# 2 Graphical Algorithms

# 3 Numerical Algorithms

# 4 Symbolic Algorithms

# 5 Further Algorithms

# 6 Change Log

  1. 2025-08-29 Inflector Gadget
  2. 2025-08-14 Patterns in Inflected Julia Sets
  3. 2025-02-15 Iteration Count vs Distance Estimate
  4. 2024-07-18 Needlework
  5. 2024-07-17 Analytical Design
  6. 2024-07-10 m-pertubator-gtk
  7. 2024-05-31 Deep Zoom
  8. 2024-05-15 Millionaires
  9. 2024-03-08 Julia Size
  10. 2024-01-31 Buddhabrot
  11. 2024-01-15 Reliable Mandelbrot
  12. 2024-01-04 Exact Mandelbrot
  13. 2023-11-13 Patterns in deep Mandelbrot zooms
  14. 2023-06-09 Trustworthy Mandelbrot
  15. 2023-04-20 z→z²+c
  16. 2023-03-04 m-describe
  17. 2023-03-03 Mandelbrot Artists
  18. 2023-02-12 Fast External Ray Algorithms
  19. 2023-02-06 mandelbrot-prelude
  20. 2023-02-02 Mandelbrot Code
  21. 2022-12-21 Location Analysis
  22. 2022-12-06 Mandelbrot Notebook
  23. 2022-12-06 Pi In The Mandelbrot Set
  24. 2022-12-06 Fractal Dimension Of Julia Sets
  25. 2022-12-06 The Spider Algorithm
  26. 2022-12-06 Julia Morphing
  27. 2022-12-06 Stretching Cusps
  28. 2022-12-06 Exponential Map
  29. 2022-12-06 Zoom Interpolation
  30. 2022-12-06 Poincaré Zoom
  31. 2022-12-06 Glitches
  32. 2022-12-06 Series Approximation
  33. 2022-12-06 Perturbation
  34. 2022-12-06 Other Angles
  35. 2022-12-06 Hair Navigation
  36. 2022-12-06 Islands In Hairs
  37. 2022-12-06 Spoke Navigation
  38. 2022-12-06 Lavaurs' Algorithm
  39. 2022-12-06 The Farey Tree
  40. 2022-12-06 Primary Bulb
  41. 2022-12-06 Tuning
  42. 2022-12-06 External Angles
  43. 2022-12-06 External Ray Out
  44. 2022-12-06 External Ray In
  45. 2022-12-06 Domain Size
  46. 2022-12-06 Shape Estimate
  47. 2022-12-06 Size Estimate
  48. 2022-12-06 Interior Point
  49. 2022-12-06 Nucleus
  50. 2022-12-06 Misiurewicz Point ("Naive")
  51. 2022-12-06 Misiurewicz Point ("Full")
  52. 2022-12-06 Child Size
  53. 2022-12-06 Attractor
  54. 2022-12-06 Interior Distance
  55. 2022-12-06 Misiurewicz Domains
  56. 2022-12-06 Atom Domains
  57. 2022-12-06 Interior Coordinates
  58. 2022-12-06 Exterior Distance
  59. 2022-12-06 Dwell Gradient
  60. 2022-12-06 Exterior Coordinates
  61. 2022-12-05 Binary Decomposition
  62. 2022-12-05 Escape Time
  63. 2022-12-05 Continuous Dwell
  64. 2022-12-05 Membership