# 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.

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 No longer updated.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 No longer updated.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

A gallery of embedded Julia sets.

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. 2024-07-10 Rodney
  2. 2024-07-10 µFraktaler
  3. 2024-06-15 Fraktaler 3
  4. 2024-06-06 Burning Ship
  5. 2024-06-03 Fraktaler 3 v3~wip+2-130 Screencast
  6. 2024-06-01 At The Helm Of The Burning Ship
  7. 2024-05-31 Stripe Colouring
  8. 2024-05-31 Deep Zoom
  9. 2024-05-07 Cactus Juice
  10. 2024-03-19 Scaling of trees
  11. 2024-02-08 B15
  12. 2024-01-31 Buddhabrot
  13. 2023-12-17 NOISEMAS III
  14. 2023-12-07 Whirlpool
  15. 2023-12-05 Flame
  16. 2023-09-24 Inflector Gadget
  17. 2023-07-29 FractInt
  18. 2023-05-16 Ten Dust Tree
  19. 2023-04-26 Puzzle
  20. 2023-04-26 GraphGrow
  21. 2023-03-28 Creamed Whip
  22. 2023-03-20 Distance Estimate
  23. 2023-03-12 Multibrot
  24. 2023-03-09 z→z²+cz⁵
  25. 2023-01-26 Haystack Situations
  26. 2022-11-02 The Ant With 22 Legs
  27. 2022-08-18 Drought
  28. 2022-08-04 lockaccum
  29. 2022-08-01 Rocks
  30. 2022-06-10 Rainstorm
  31. 2022-05-23 Tree Core
  32. 2022-02-22 Twosday
  33. 2022-02-11 Cerebral Infection
  34. 2022-01-14 Zigzag
  35. 2021-12-29 Non-Smooth
  36. 2021-10-16 Separated Perpendicular
  37. 2020-09-07 Charred Bard
  38. 2020-09-06 Special Branch