# Fractals

Fractals are patterns which have details on all scales. A lot of my artistic and research time is spent on them.

See also pages about the Mandelbrot set, probably the most famous fractal.

# 1 Tools

Fraktaler 3

A cross-platform fast deep zoomer for hybrid escape time fractal graphics.

zoomasm

A tool to reproject exponential map keyframes into zoom videos.

Inflector Gadget

Inflector gadget for Julia morphing.

bs

Web browser based realtime Burning Ship fractal explorer.

Multifractal

Compute multifractal spectrum of 2D HDR images.

Kalle’s Fraktaler 2 +

My fork of Kalle’s Fraktaler, a fast deep zoomer for escape time fractal graphics like the Mandelbrot set and Burning Ship, and is probably my most widely used software for fractals. For Windows, works in Wine. No longer updated.

et

Escape time fractals powered by a formula compiler. No longer updated.

# 2 Theory

Distance Estimation for Hybrid Escape Time Fractals

A distance estimate for hybrid fractals with iteration behaviour like \(z \to a z^p\).

At The Helm Of The Burning Ship

Conference paper and slides.

Lyapunov Space Of Coupled FM Oscillators

Conference paper and slides.

# 3 Artworks

B15

Abstract fractal snowflakes using an iterated function system.

Burning Ship embedded Julia sets

A gallery of embedded Julia sets in the Burnign Ship fractal.

Dezoomber

A new fractal zoom video every day in the month of dezoomber.

Escape Time Hybrids

Fractal art book.

GraphGrow

Interactive audio-visual graph-directed iterated function system fractal installation.

Haystack Situations

Find the needle in icosahedral haystacks.

Hybrids

Hybrid escape time fractal video loop.

Monotone

Iterated function system fractal audio-visual video loop.

Puzzle

Audio-visual sliding tile puzzle.

Rodney

An autonomous fractal explorer bot.

Whirlpool

A fractal whirlpool using an iterated function system of Möbius transformations.

# 4 Change Log

  1. 2025-08-29 Inflector Gadget
  2. 2025-08-14 Patterns in Inflected Julia Sets
  3. 2025-06-11 zoomasm
  4. 2025-06-10 Fraktaler 3
  5. 2025-02-25 Julia Set Distance Estimate
  6. 2025-02-18 Subdivision Data Structures
  7. 2025-01-20 bs
  8. 2025-01-20 Burning Ship
  9. 2024-10-10 Stripy
  10. 2024-08-18 Lambdabulb
  11. 2024-07-10 Rodney
  12. 2024-07-10 µFraktaler
  13. 2024-06-03 Fraktaler 3 v3~wip+2-130 Screencast
  14. 2024-06-01 At The Helm Of The Burning Ship
  15. 2024-05-31 Stripe Colouring
  16. 2024-05-31 Deep Zoom
  17. 2024-05-07 Cactus Juice
  18. 2024-03-19 Scaling of trees
  19. 2024-02-08 B15
  20. 2024-01-31 Buddhabrot
  21. 2023-12-17 NOISEMAS III
  22. 2023-12-07 Whirlpool
  23. 2023-12-05 Flame
  24. 2023-07-29 FractInt
  25. 2023-05-16 Ten Dust Tree
  26. 2023-04-26 Puzzle
  27. 2023-04-26 GraphGrow
  28. 2023-03-28 Creamed Whip
  29. 2023-03-20 Distance Estimate
  30. 2023-03-12 Multibrot
  31. 2023-03-09 z→z²+cz⁵
  32. 2023-01-26 Haystack Situations
  33. 2022-11-02 The Ant With 22 Legs
  34. 2022-08-18 Drought
  35. 2022-08-04 lockaccum
  36. 2022-08-01 Rocks
  37. 2022-06-10 Rainstorm
  38. 2022-05-23 Tree Core
  39. 2022-02-22 Twosday
  40. 2022-02-11 Cerebral Infection
  41. 2022-01-14 Zigzag
  42. 2021-12-29 Non-Smooth
  43. 2021-10-16 Separated Perpendicular
  44. 2020-10-28 Making Fractal Zoom Videos
  45. 2020-09-07 Charred Bard
  46. 2020-09-06 Special Branch
  47. 2019-12-31 et Gallery
  48. 2019-12-31 et
  49. 2018-02-16 et Videos
  50. 2018-01-06 A Burning Ship Fractal Zoom