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IFStile is freeware program that can:

  • build any affine directed graph iterated function system (IFS) in the Euclidean space of arbitrary dimension (as 2D or 3D section)
  • fully automatically find interesting fractal shapes, rep-tiles, multi-tiles, irreptiles, carpets, dragons, etc
  • extract boundary of self-affine tiles as directed graph IFS
  • compute dimension of the boundary of self-affine tiles (numerically and analitically)
  • export and import Fractint IFS format, export Apophysis .flame format
  • effectively zoom IFS fractals
  • render high resolution images (with batch rendering)


Program uses special rendering algorithm that can unveil complex structures of the fractal.

When you save rendered image to PNG format, program automatically saves all parameters (IFS, palette) inside PNG, and you can load such PNG to the program to restore your workspace.

IFStile uses domain-specific language to exact representation of the IFS, see AIFS .

Screenshot

How to use (YouTube)

Mathematical foundations (PDF presentation)

Download:

Latest version: 1.6.2.3

Setup for 64 bit Windows 7 and higher

Setup for 32 bit Windows 7 and higher

Disk Image for macOS 10.9 and higher


  • Levy.png
  • Twindragon.png
  • Bird.png
  • OvoidTile.png
  • OvoidTile2.png
  • GI98.png
  • FractalPinwheel.png
  • DragonCurve.png
  • WeakTile.png
  • Tile53.png

Pentaflake

McWorter's Pentigree

Pentadentrite

Polynomial (+1+0-1)

Polynomial (+1+2-1)

Polynomial (-2+2)

Polynomial (-2)

Polynomial x^3+x^2-1 (4)

Polynomial x^3+x^2-1 (4.1)

Golden Trapezoid

Nice Boundary

Cube Tiles

Gosper Island

Robinson Triangle

Fractal Pinwheel Tile

Weak Tile


Integer IFS Definition


External links

  • Rep-tile [1]
  • Self-tiling tile set [2]
  • Self-Similar Tiles and Related Figures [3]
  • Tilings Encyclopedia [4]
  • Fractal Curves [5]
  • Mathmagic [6]
  • Mathematical Tiling-Tessellation [7]
  • Fractals - IFS catalogue [8]