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FAMILY TREE

Types of Fractals

A practical taxonomy: escape-time, IFS, recursive, chaotic, orbit-density, stochastic and 3D.

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Types of Fractals fractal artwork
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FAMILY TREE

Nine broad families

Escape-timeMandelbrot, Julia, Burning Ship, Tricorn.
Iterated function systemsBarnsley fern and transformation attractors.
Recursive replacementKoch, Sierpiński and dragon curves.
Strange attractorsLorenz, Rössler and chaotic maps.
Stochastic fractalsFractional noise and random recursive landscapes.
Orbit-densityBuddhabrot and trajectory accumulation.
Root-basinNewton / Halley convergence maps.
3D implicitMandelbulb, Mandelbox, quaternion slices.
MultifractalSystems needing a spectrum of scaling exponents.