Fractal Lab

Catalog

Fractals

One page per fractal: definition, construction, dimension, where it shows up, and references.

Complex dynamics

Escape-time iterations over the complex plane.

Geometric (self-similar)

Classical constructions defined by recursive subdivision.

Space-filling curves

Continuous surjections from an interval onto a region.

Iterated function systems

Affine contractions composed and iterated.

L-systems

Lindenmayer rewriting rules with turtle interpretation.

Circle packings

Mutually tangent circles, recursive nesting.

Dimension & measure

How fractal dimension is defined and measured.