Barnsley Fern | Fractal Laboratory

Generation Controls

Speed: 500 points/frame

Color Mode

View Controls

Zoom: 1.00x

Drag canvas to pan | Scroll to zoom

Transformation Probabilities

f1 Stem 1% (0)

f2 Leaflets 85% (0)

f3 Left Leaf 7% (0)

f4 Right Leaf 7% (0)

Points

Rate

0/s

Zoom

1.0x

Status

IDLE

IFS Parameters

x' = ax + by + e
y' = cx + dy + f

About

The Barnsley Fern is a fractal created using an Iterated Function System (IFS), discovered by British mathematician Michael Barnsley in 1988.

Four affine transformations are applied probabilistically to generate the self-similar pattern resembling a Black Spleenwort fern.