Fractals
IFS Fractals
Explore iterated function system fractals such as the Barnsley fern with deterministic affine transforms, density rendering, and shareable presets.
Scratchpad (not saved)
Save to create a persistent, shareable workspace.
IFS Viewport
Weighted affine maps are sampled into a density image for the current preset. Wheel to zoom and drag to pan.
0 pointsSeed 71.00x zoom0 ms
Barnsley Fern
4 affine maps
Peak density 0
Math Notes
IFS fractals repeatedly apply one affine map chosen from a weighted collection:
The geometry emerges from the long-run distribution of points, not from a pixel-by-pixel escape-time test.
Active Transforms
- Stem1%
- Successive leaflets85%
- Left leaf7%
- Right leaf7%
Exploration Tips
- Change the seed to vary point visitation while preserving the same attractor.
- Raise exposure when dense regions overpower the finer leaf or branch structure.
- Wheel to zoom and drag to pan once you want to inspect a local branch cluster.